| 1 $U=U_{0}$ | 0.10 |
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| 2 $U_{0}=\frac{C_{V}}{R} P_{0} 2 V_{0}$ | 0.10 |
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| 3 $C_{V}=\frac{5}{2} R$ | 0.10 |
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| 4 $U=\frac{C_{V}}{R} P\left(2 V_{0}\right)$ | 0.10 |
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| 5 $P=P_{0}$ | 0.40 |
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| 6 $P_{0} V_{0}=v_{1} R T_{1}$ | 0.10 |
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| 7 $P_{0} V_{0}=v_{2} R T_{2}$ | 0.10 |
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| 8 $P_{0} 2 V_{0}=v R T_{0}$ | 0.10 |
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| 9 $v=v_{1}+v_{2}$ | 0.10 |
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| 10 $T_{0}=\frac{2 T_{1} T_{2}}{T_{1}+T_{2}}$ | 0.40 |
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| 11 $Q=\frac{7}{2} P_{0} V_{0} \cdot \frac{T_{2}-T_{1}}{T_{1}+T_{2}}$ | 0.40 |
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| 12 $Q=70.0~Дж$ | 0.10 |
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| 13 $C_{p}=C_{V}+R$ | 0.10 |
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| 1 $T=T_{1}=T_{2}$ | 0.40 |
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| 2 $V_{01}=\frac{V_{0} T_{0}}{T_{1}}$ | 0.10 |
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| 3 $V_{02}=\frac{V_{0} T_{0}}{T_{2}}$ | 0.10 |
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| 4 M1 $P_{1} V_{1}=v_{1} R T$ | 0.10 |
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| 5 M1 $P_{2} V_{2}=v_{2} R$ | 0.10 |
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| 6 M1 $d U=v C_{V} d T$ | 0.10 |
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| 7 M1 $\delta Q=d U+\delta A=0$ | 0.10 |
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| 8 M1 $\delta A=P_{1} d V_{1}+P_{2} d V_{2}$ | 0.10 |
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| 9 M1 $\frac{5}{T_{0}} d T+\frac{T}{T_{1} V_{1}} d V_{1}+\frac{T}{T_{2} V_{2}} d V_{2}=0$ | 0.10 |
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| 10 M2 $S= \text{const}$ | 0.20 |
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| 11 M2 $\Delta S=v_{1} C_{V} \ln \frac{T_{f}}{T_{0}}+v_{1} R \ln \frac{V_{0}}{V_{01}}+v_{2} C_{V} \ln \frac{T_{f}}{T_{0}}+v_{2} R \ln \frac{V_{0}}{V_{02}}=0$ | 0.40 |
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| 12 $T_{f}=T_{0}\left(\frac{T_{0}}{T_{1}}\right)^{\frac{T_{0}}{5 T_{1}}}\left(\frac{T_{0}}{T_{2}}\right)^{\frac{T_{0}}{5 T_{2}}}$ | 0.20 |
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| 13 $A^{\prime}=v C_{V}\left(T_{f}-T_{0}\right)=5 P_{0} V_{0} \frac{T_{f}-T_{0}}{T_{0}}$ | 0.20 |
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| 14 $A^{\prime}=4.04 ~Дж $ | 0.20 |
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