Calculate the final pressure of a sample of CO2 that expands reversibly and adiabatically from 57.4 kPa and 1.0 dm3 to a final volume of 2.0 dm3 . Take = 1.4.
P1V1=P2V2P_1V_1=P_2V_2P1V1=P2V2
P2=P1(V1V2)1.4P_2=P_1(\frac{V_1}{V_2})^{1.4}P2=P1(V2V1)1.4
P2=57.4(1.02.0)1.4=22kPaP_2=57.4(\frac{1.0}{2.0})^{1.4}=22kPaP2=57.4(2.01.0)1.4=22kPa
Final pressure P2=22kPaP_2=22kPaP2=22kPa
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