| 1. 1 $A=P(v_2-v_1)$ | 0.20 |
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| 1. 2 $Pv=RT/\mu_w$ | 0.20 |
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| 1. 3 $\cfrac{A}{r_B}=\cfrac{RT_b}{\mu_wr_w}$ | 0.20 |
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| 1. 4 $\cfrac{\Delta u}{r_w}=1-\cfrac{RT_b}{\mu_wr_w}$ | 0.20 |
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| 1. 5 Численное значение: 92,4% | 0.20 |
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| 2. 1 $\mu_wr(T)=U_2-U_1+PV_2=U_2-U_1+RT$ | 0.20 |
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| 2. 2 $\mu_wr_2=U_2(T_b)-U_1(T_b)+RT_b$ | 0.20 |
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| 2. 3 $C_P=4R$ | 0.20 |
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| 2. 4 $r(T)=r_w-\left(c_w-\cfrac{4R}{\mu_w}\right)(T-T_b)$ | 0.20 |
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| 2. 5 Численное значение: 2447 Дж/г | 0.20 |
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| 3. 1 $\cfrac{dP}{dT}=\cfrac{r}{Tv}=\cfrac{\mu_wr_w}{RT^2}P$ | 0.20 |
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| 3. 2 $P=P_0\exp{\left(\cfrac{\mu_wr_w}{R}\left(\cfrac{1}{T_b}-\cfrac{1}{T}\right)\right)}$ | 0.20 |
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| 4. 1 $T=\cfrac{T_b}{1-\frac{RT_b}{\mu_wr_w}\ln{\frac{P}{P_0}}}$ | 0.20 |
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| 4. 2 $P=P_0\exp{\left(-\cfrac{\mu_{air}gh}{RT_0}\right)}$ | 0.40 |
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| 4. 3 $T=\cfrac{T_b}{1+\frac{T_b\mu_{air}gh}{T_0\mu_wr_w}}$ | 0.20 |
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| 4. 4 Численное значение: $76,6~{}^{\circ}\text{C}$. | 0.20 |
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| 5. 1 $\cfrac{dP}{dT}=\cfrac{q_i}{T_0(1/\rho_w-1/\rho_i)}$ | 0.20 |
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| 5. 2 $\Delta P=\cfrac{dP}{dT}\Delta T$ | 0.20 |
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| 5. 3 Численное значение $\Delta P=139~\text{атм}$ или $P=140~\text{атм}$. | 0.20 |
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| 6. 1 $t_{max}=\cfrac{P_{cr}}{(dP/dT)}$ | 0.40 |
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| 6. 2 Численное значение: $t_{max}\approx-7,21~{}^{\circ}\text{C}$ | 0.20 |
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| 7. 1 $PdV=RdT-VdP$ | 0.20 |
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| 7. 2 $\delta Q=dU+\delta A=C_VdT+RdT-VdP=C_PdT-VdP$ | 0.20 |
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| 7. 3 $C=\cfrac{\delta Q}{dT}=C_P-\cfrac{VdP}{dT}=C_P-\cfrac{\mu_wr_w}{T_b}$ | 0.40 |
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| 7. 4 Численное значение: $C=-75,7~\text{Дж}/(\text{К}\cdot\text{моль})$ | 0.20 |
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| 8. 1 $P_0=P(t^*)+P_w(t^*)$ | 0.40 |
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| 8. 2 $\cfrac{dP}{P}=\cfrac{\mu rdT}{RT^2}$ | 0.20 |
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| 8. 3 $\ln(P_0/P^*)=r\mu\Delta T/RTT^*$ | 0.20 |
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| 8. 4 $r=\cfrac{RTT^*\ln(P_0/P)}{\mu(T-T^*)}$ | 0.20 |
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| 8. 5 Численное значение: $r\approx180~\text{Дж/г}$ | 0.20 |
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| 9. 1 $\cfrac{m}{m_w}=\cfrac{\rho}{\rho_w}=\cfrac{P^*\mu}{P_w(t^*)\mu_w}$ | 0.40 |
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| 9. 2 $\Delta m=\cfrac{\rho V}{2}\cfrac{m_w}{m}$ | 0.20 |
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| 9. 3 $M_w=\rho_wV/2-\Delta m$ | 0.20 |
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| 9. 4 Численное значение: $M_w=46,7~\text{г}$. | 0.20 |
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| 10. 1 $P_0=P(t_x)+P_w(t_x)$ | 0.20 |
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| 10. 2 $\alpha_f=\cfrac{dP}{dT}=\cfrac{r\mu P_0}{RT_f^2}$ | 0.30 |
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| 10. 3 $\alpha_w=\cfrac{dP}{dT}=\cfrac{r_w\mu_wP_w(t_f)}{RT_f^2}$ | 0.30 |
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| 10. 4 $\alpha_f/\alpha_w\approx6,30$ | 0.30 |
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| 10. 5 $P_0-P(t_x)=\alpha_f\Delta T=P_w(t_x)=P_w(t_f)-\alpha_w\Delta T$ | 0.30 |
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| 10. 6 $\Delta T=\cfrac{P_w(t_f)}{\alpha_f+\alpha_w}$ | 0.40 |
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| 10. 7 $t_x=t_f-\Delta T$ | 0.20 |
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| 10. 8 Численное значение: $t_x=46,3~{}^{\circ}\text{C}$ | 0.20 |
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