Question

5 moles of an ideal gas at $100,K$ are allowed to undergo reversible adiabatic compression till its temperature becomes $200,K$. If $C_v=30,J,K^{-1}mol^{-1}$, calculate $\Delta U$ and $\Delta (pV)$ for this process. $(R=8.0,J,K^{-1}mol^{-1})$

• A. $\Delta U=10,kJ;\ \Delta(pV)=2,kJ$
• B. $\Delta U=12,kJ;\ \Delta(pV)=4,kJ$
• C. $\Delta U=14,kJ;\ \Delta(pV)=4,kJ$
• D. $\Delta U=15,kJ;\ \Delta(pV)=4,kJ$
• E. $\Delta U=3.0,kJ;\ \Delta(pV)=2,kJ$

Hint:

Chemistry Tip: For ideal gas, internal energy depends only on temperature, not path.

Answer 1

The Correct Option is D