Balance the equations for the reactions occurring in the solution at the anode
and cathode:
Assume that no other reactions occur at the anode and cathode.
Write down and balance the overall equation for the electrolysis of an aqueous solution of $\rm{CuSO_4}$.
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1
The equations at the cathode and anode are balanced: $$\mathrm{Cu^{2+}} + 2e^- \to \mathrm{Cu^0},$$$$ 2\mathrm{H_2O} - 4e^- \to 4\mathrm{H^+ + O_2} \uparrow.$$ |
2 × 0.10 |
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2
The complete electrolysis equation is written down (possibly with incorrect coefficients): \[ \rm 2Cu SO_4 + 2H_2O \to 2H_2SO_4 + 2Cu + O_2 \uparrow. \] |
0.10 |
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| 3 The coefficients in the complete equation are correct. | 0.10 |
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Prepare $V_0=150$ mL of copper sulfate with a molar concentration of $c_0=0.400~\mathrm{M}$. You are given copper sulfate powder ($\rm CuSO_4 \cdot 5 H_2 O$). How many grams $m_{bs}$ of powder are needed to prepare the specified solution? It can be assumed that the volume of the resultant copper sulfate solution is the same as the volume of the added water.
We will call the resulting solution “solution A2.” Pour $5$ mL of solution A2 into Answer tube A2.
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1
The required amount of copper sulfate is expressed in terms of known quantities: $$\nu_{\rm bs} = c_0V_0.$$ |
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2
The formula for $m_{bs}$ is obtained: $$m_{\rm bs} = c_0 V_0 \cdot M ({\rm CuSO_4 \cdot 5 H_2O}).$$ |
0.20 |
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3
The correct numerical answer is obtained: $$m_{\rm bs}=15.0~{\rm g}.$$ |
0.20 |
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| 4 The maximum absorption height differs by no more than 10% from the author's values. | 0.40 |
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| 5 The maximum absorption height differs by no more than 20% from the author's values. | 0.20 |
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In accordance with instruction G2, perform electrolysis of $120$ mL of solution A2 for $t_0=1$ h at a current of $I=1$ A.
Record the dependence of the volume of oxygen released $V_{\rm O_2}$ on time $t$. Take at least 10 measurements. Plot the resulting dependence and draw an approximation curve.
| 1 The data points for the $V_{O_2}(t)$ dependence are obtained. | 10 × 0.10 |
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| 2 At least three points are measured in the range $t \in [0, 1200] ~ s$. | 0.20 |
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| Plotting a graph | ||
| 4 The difference between the maximum and minimum coordinates is at least 50% of the length of the corresponding axis | 2 × 0.05 |
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| 5 Each of the axes is signed. | 2 × 0.05 |
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| 6 Each of the axes is uniformly digitized. | 2 × 0.05 |
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| 7 The points are plotted according to the table values. | 10 × 0.02 |
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| 8 An approximation curve is plotted. | 0.20 |
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| 9 The graph has a characteristic shape (the rate of oxygen formation first increases and then reaches saturation). | 0.60 |
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After electrolysis, stir the solution remaining in the electrolyzer. In accordance with the G2 instructions, filter approximately 20-25 mL of the stirred solution after electrolysis.
We will refer to the filtered solution as “solution A4.” Pour 5 ml of solution A4 into Answer tube A4.
| 1 The maximum absorption height differs from the authors' values by no more than 10%. | 0.60 |
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| 2 The maximum absorption height differs from the authors' values by no more than 20%. | 0.40 |
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| 3 The maximum absorption height differs from the authors' values by no more than 40%. | 0.20 |
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1
Formula for determining charge: $$Q = It.$$ |
0.10 |
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2
Numerical value: $$Q = 3600\text{ C}.$$ |
0.10 |
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1
The formula for the number of oxygen molecules is written down: $$N_{O_2} = \frac{N_{A}p_0V_{O_2}}{RT_0}.$$ |
0.10 |
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2
The relationship between the amount of oxygen and the charge that has passed is recorded: $$Q_{O_2} = 4e\cdot N_{O_2}.$$ |
0.10 |
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3
The numerical answer is obtained: $$Q_{O_2} = [2580, 3160]\text{ C}.$$ |
0.10 |
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Note that the initial solution A2 has very strong absorption, so in this task you calculate its dilution by a factor of 10 or more.
| 1 Correct values of the $V_\textbf{A2}$ volumes are obtained. | 5 × 0.10 |
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| 2 Correct values of the $V_{\rm H_2O}$ volumes are obtained. | 5 × 0.10 |
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Using the calculations made in the previous task, prepare five solutions in optical cuvettes. In accordance with instruction G1, measure the absorption spectrum of each of the five solutions.
Save the measured spectra in the “Results/B2” folder on your desktop under the names “B2.{cuvette number}.txt” (for example, “B2.3.txt”).
| 1 The spectra are saved and the peak values differ from those of the authors by no more than 20%. | 5 × 0.30 |
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| 1 $$\lambda_0 \in \left[ 820, 830\right] \text{ nm}$$ | 0.40 |
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| 2 $$\lambda_0 \in \left[ 810, 840 \right] \text{ nm}$$ | 0.20 |
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| 1 The peak absorption value $A(\lambda_0)$ is determined for each concentration. | 5 × 0.10 |
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| Plotting a graph | ||
| 3 The difference between the maximum and minimum coordinates is at least 50% of the length of the corresponding axis. | 2 × 0.05 |
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| 4 Each of the axes is signed. | 2 × 0.05 |
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| 5 Each of the axes is uniformly digitized. | 2 × 0.05 |
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| 6 The points are plotted according to the table values. | 5 × 0.10 |
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| 7 An approximating line is drawn. | 0.20 |
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| 8 $$s \in \left[ 23.7, 29.0 \right] \text{ a.u./M}$$ | 0.50 |
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| 9 $$s \in \left[ 21.1, 31.7 \right] \text{ a.u./M}$$ | 0.20 |
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Save the measured spectrum in the “Results/B5” folder on your desktop under the name “B5.txt”.
| 1 The spectrum is saved and the peak value differs from the authors' by no more than 20%. | 0.30 |
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Determine the concentration of copper ions $[\rm Cu^{2+}]_\textbf{A4}$ in solution A4.
| 1 The value $A(\lambda_0)$ is determined from the spectrum. | 0.20 |
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| 2 Formula $[{\rm Cu}^{2+}]_{\bf A4}=10 \cdot A(\lambda_0) / s$ is recorded or used. | 0.20 |
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| 3 $$[{\rm Cu}^{2+}]_{\bf A4}\in [0.225, 0.275]$$ | 0.40 |
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| 4 $$[{\rm Cu}^{2+}]_{\bf A4}\in [0.200, 0.300]$$ | 0.20 |
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1
The formula of the amount of copper ions that reacted at the cathode is written: $$\nu = \left(c_0-\left[\text{Cu}^{2+}\right]_\bf{A4}\right)V_i.$$ |
0.30 |
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2
The charge is expressed in terms of the amount of copper: $$Q_\text{Cu} = 2eN_A\nu$$ |
0.30 |
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3
The numerical value is found: $$Q_{\rm Cu}\in[3920,4800]~\rm C$$ |
0.40 |
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| 1 The values $A_{peak}(\operatorname{pH})$ are obtained from the graph. | 9 × 0.05 |
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| 2 The value $A_{iso}$ is obtained from the graph. | 0.06 |
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| 3 The relative peak height is calculated (marked only when $A_{iso}$ and $A_{peak}$ are measured correctly) | 9 × 0.03 |
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| Plotting a graph | ||
| 5 The difference between the maximum and minimum coordinates is at least 50% of the length of the corresponding axis. | 2 × 0.05 |
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| 6 Each of the axes is signed. | 2 × 0.05 |
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| 7 Each of the axes is uniformly digitized. | 2 × 0.05 |
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| 8 The points are plotted according to the table values. | 9 × 0.03 |
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| 9 An approximating line is drawn. | 0.15 |
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This step uses a thin glass cuvette with an adapter. Following the G1 instructions for thin cuvettes, obtain the absorption spectrum of undiluted solution A4 without indicator. Save the measured spectrum to the “Results/C2” folder on your desktop under the name “C2.txt”.
| 1 The spectrum is saved and the peak value differs from the authors' by no more than 20%. | 0.30 |
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This step uses a thin glass cuvette with an adapter. Following the G1 instructions for thin cuvettes, obtain the absorption spectrum of the undiluted A4 solution with the indicator. Save the measured spectrum to the “Results/C3” folder on your desktop under the name “C3.txt”.
| 1 The spectrum is saved and the peak value differs from the authors' by no more than 20%. | 0.30 |
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1
A recalculation formula is given, e.g. \[A'=A-A_0\] |
0.10 |
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2
The in answer is obtained: $$A'_{peak}\in[0.63,0.77]$$ |
0.10 |
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3
The answer is obtained: \[A'_{iso}\in[0.22,0.26]\] |
0.10 |
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1
The value is calculated: \[A'_{peak}/A'_{iso}\in[2.6,3.2]\] |
0.20 |
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2
The $\rm pH$ is determined: $$\text{pH}_\text{fin} \in [0.8,0.9]$$ |
0.30 |
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| 1 The table is completed. | 14 × 0.10 |
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Perform the experiment described above, adding the specified amount $\Delta V$ of acid with concentration $C_{\rm HCl}$ at each step. Measure and save the absorption spectrum at each step according to instruction G1. Save the measured spectra in the folder on your desktop named “Results/C7” under the names “C7.{step number}.txt” (for example, “C7.2.txt”). You should end up with 8 spectra. Pour the remaining solution after obtaining all spectra into Answer tube C7.
| 1 The spectra are saved. | 7 × 0.30 |
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| 2 The solution in the test tube is correct (the $\rm pH$ differs by less than 0.05 from the authors'). | 0.90 |
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| 1 $$\lambda^{BB}_{peak} \in [580,600]~\rm nm$$ | 0.40 |
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| 2 $$\lambda^{BB}_{iso} \in [490,510]~нм$$ | 0.40 |
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| 1 The points for the graph are calculated. | 8 × 0.10 |
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| Plotting a graph | ||
| 3 The difference between the maximum and minimum coordinates is at least 50% of the length of the corresponding axis. | 2 × 0.05 |
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| 4 Each of the axes is signed. | 2 × 0.05 |
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| 5 Each of the axes is uniformly digitized. | 2 × 0.05 |
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6
The points are plotted according to the table values. |
8 × 0.02 |
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| 7 A smoothing curve is drawn. | 0.24 |
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This step uses a thin glass cuvette with an adapter. Following the G1 instructions for thin cuvettes, obtain the absorption spectrum of the undiluted A2 solution without indicator. Save the measured spectrum to the “Results/C10” folder on your desktop under the name “C10.txt”.
| 1 The spectrum is saved and the peak value differs from the authors' by no more than 20%. | 0.30 |
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This step uses a thin glass cuvette with an adapter. Following the G1 instructions for thin cuvettes, obtain the absorption spectrum of the undiluted A2 solution with indicator. Save the measured spectrum to the “Results/C11” folder on your desktop under the name “C11.txt”.
| 1 The spectrum is saved and the peak value differs from the authors' by no more than 20%. | 0.30 |
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Based on the measurements in questions C10-C11, calculate the absorption $A'_{peak}$ at wavelength $\lambda^{BB}_{peak}$ caused only by the absorption of the indicator. What is the absorption $A'_{iso}$ at a wavelength of $\lambda^{BB}_{iso}$ nm caused only by the absorption of the indicator?
| 1 \[A'_{peak}\in[0.9,1.0]\] | 0.15 |
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| 2 \[A'_{iso}\in[0.33,0.39]\] | 0.15 |
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1
The value is calculated: \[A'_{peak}/A'_{iso}\in[2.3,2.7]\] |
0.25 |
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| 2 $$\text{pH}_\text{ini}\in[3.82,4.02]$$ | 0.25 |
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1
The formula is obtained: $$Q_\text{pH} = eN_AV_i(10^{-\text{pH}_\text{fin}}-10^{-\text{pH}_\text{ini}})$$ |
0.50 |
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2
The numerical answer is obtained: $$Q_\text{pH}\in[1480,1800]~\rm C$$ |
0.50 |
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| 1 The number of correct answers. | 7 × 0.10 |
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| 1 The correct answer is chosen. | 0.30 |
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For each LED battery, measure the voltage across the 3 LEDs connected in series and calculate the voltage across single LED when the power source is turned on. Fill in the table in the answer sheets.
| 1 $$U_r=[1.75, 2.13]~\rm V$$ | 0.20 |
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| 2 $$U_g=[2.51, 3.07]~\rm V$$ | 0.20 |
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| 3 $$U_b=[2.6, 3.18]~ \rm V$$ | 0.20 |
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| 1 $$I_r=[0.15, 0.19]~\rm A$$ | 0.10 |
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| 2 $$I_g=[0.33, 0.41]~\rm A$$ | 0.10 |
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| 3 $$I_b=[0.24, 0.30]~\rm A$$ | 0.10 |
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| 1 $$P_r=[38, 46]~\rm mW$$ | 0.10 |
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| 2 $$P_g=[46, 56]~\rm mW$$ | 0.10 |
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| 3 $$P_b=[103, 127]~\rm mW$$ | 0.10 |
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For this task, use microorganism $A$. Prepare the setup for measurements according to the G3 instructions. Turn on the light source and start timing.
If no oxygen release is observed 30 minutes after the start of the experiment, record zero values for $V_{O_2}$ in the table in the answer sheets.
If oxygen release is observed 30 minutes after the start of the experiment, continue the experiment for another 1.5 hours. Record the volume of oxygen $V_{O_2}$ released when illuminated by different colors of light in the table on the answer sheet.
| 1 $$V_{\rm red} = [100, 350] \ \text{mm}^3$$ | 0.20 |
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| 2 $$V_{\rm green} = [50, 200] \ \text{mm}^3$$ | 0.20 |
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| 3 $$V_{\rm blue} = [100, 350] \ \text{mm}^3$$ | 0.20 |
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| 4 The amount of oxygen released by the red and blue LEDs is greater than that of the green LED. | 0.40 |
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| 1 $$V_{\rm red} = [0, 18] \ \text{mm}^3$$ | 0.20 |
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| 2 $$V_{\rm green} = [0, 18] \ \text{mm}^3$$ | 0.20 |
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| 3 $$V_{\rm blue} = [0, 18] \ \text{mm}^3$$ | 0.20 |
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| 4 It is stated that oxygen is not released for all three colors of LED. | 0.40 |
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According to instruction G4, use Goryaev's chamber to count the number of cells in the four small squares $n_A$ and $n_B$ of microorganisms $A$ and $B$.
The edge of the large square of the Goryaev chamber is 0.2 mm, the depth of the chamber is 0.1 mm, and the large square consists of 16 small squares. Count the total number of cells $N_A$ and $N_B$ of microorganisms $A$ and $B$ inside a 20 ml syringe. Write down the calculation formula showing how $n_A$ and $N_A$ are related.
| 1 $$n_A = [30, 70]$$ | 0.20 |
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| 2 $$n_B = [40, 500]$$ | 0.20 |
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3
The formula is obtained: $$N = n \cdot 20 \text{mL} \cdot \dfrac{16}{0.2 \times 0.2 \times 0.1 \text{mm}^3 \cdot 4}.$$ |
0.20 |
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| 4 $$N_A/n_A = 2 \cdot 10^7$$The point is only evaluated if $n_A$ hits the confidence interval. | 0.20 |
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| 5 $$N_B/n_B = 2 \cdot 10^7$$The point is only evaluated if $n_B$ hits the confidence interval. | 0.20 |
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1
Photosynthesis efficiency $E, \ 10^{-15}~\dfrac{\text{m}^3}{\text{cell}\cdot \text{W}}$
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| 2 Correct answers for microorganism $A$. | 3 × 0.30 |
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| 3 Correct answers for microorganism $B$. | 3 × 0.10 |
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Using the data obtained in questions E3 and E7, fill in the table in the answer sheets.
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1
The number of correct answers.
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5 × 0.20 |
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According to instruction G5, perform thin-layer chromatography of extracts of microorganisms $A$ and $B$.
Immediately after completing the chromatography and drying the plate, analyze the table and carefully mark the spots corresponding to chlorophylls with an “X” and the spots corresponding to carotenoids with an “O” on the plate with a pencil.
Raise the HELP sign so that an assistant can come to you and photograph the plate.
Place the marked plate in Answer tube F1.
| 1 In the chromatogram of the microorganism $A$ extract, carotenoids and chlorophylls are separated. | 0.40 |
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2
In the chromatogram of the microorganism $B$ extract, carotenoids and chlorophylls are separated. |
0.40 |
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| 3 All the chlorophyll spots for microorganism $A$ are marked correctly. | 0.30 |
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| 4 All the chlorophyll spots for microorganism $B$ are marked correctly. | 0.30 |
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| 5 All carotenoid spots for microorganism $A$ are marked correctly. | 0.30 |
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| 6 All carotenoid spots for microorganism $B$ are marked correctly. | 0.30 |
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In accordance with instruction G1, obtain the absorption spectrum of extracts from microorganisms $A$ and $B$.
Save the measured spectra in the folder on the desktop “Results/F2” under the names “F2.A.txt” and “F2.B.txt” for microorganisms $A$ and $B$, respectively.
Pour 3 mL of the microorganism extract solutions you measured into Answer tube F2.A and Answer tube F2.B.
| 1 The spectra are saved. | 2 × 0.30 |
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2
The spectrum is saved and the peak value differs from the authors' by no more than 25%. |
2 × 0.20 |
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1
The number of correct answers.
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7 × 0.20 |
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1
The number of correct answers.
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4 × 0.20 |
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Select the correct statements about microorganisms.
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1
The number of correct answers.
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4 × 0.20 |
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The figure shows a diagram of a small pond with poor water circulation. Identify the zones of the pond (A-D) where the following microorganisms will live.
Write the numbers of the organisms in the table on the answer sheet.
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1
The number of correct answers.
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4 × 0.20 |
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1
The number of correct answers.
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2 × 0.40 |
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1
The number of correct answers.
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5 × 0.20 |
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