5 moles of an ideal gas 10|ThermodymicsThermocheyJEEMain2021

JEE MAIN 2019

08-04-2019 S2

Question

5 moles of an ideal gas at 100 K are allowed to undergo reversible compression till its temperature becomes 200 K . If $\mathrm{C}_{\mathrm{V}}=28 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$, calculate $\Delta \mathrm{U}$ and $\Delta \mathrm{pV}$ for this process. $\left(\mathrm{R}=8.0 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right)$

Select the correct option:

$\Delta \mathrm{U}=14 \mathrm{~kJ} ; \Delta(\mathrm{pV})=18 \mathrm{~kJ}$

$\Delta \mathrm{U}=2.8 \mathrm{~kJ} ; \Delta(\mathrm{pV})=0.8 \mathrm{~kJ}$

$\Delta \mathrm{U}=14 \mathrm{~J} ; \Delta(\mathrm{pV})=0.8 \mathrm{~J}$

$\Delta \mathrm{U}=14 \mathrm{~kJ} ; \Delta(\mathrm{pV})=4 \mathrm{~kJ}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution