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Two moles of an ideal monoatomic gas occupies a volume

Question:

Two moles of an ideal monoatomic gas occupies a volume $\mathrm{V}$ at $27^{\circ} \mathrm{C}$. The gas expands adiabatically to a volume $2 \mathrm{~V}$. Calculate (a) the final temperature of the gas and (b) change in its internal energy.

1. (a) $195 \mathrm{~K}$ (b) $-2.7 \mathrm{~kJ}$

2. (b) $189 \mathrm{~K}$ (b) $-2.7 \mathrm{~kJ}$

3. (c) $195 \mathrm{~K}$ (b) $2.7 \mathrm{~kJ}$

4. (d) $189 \mathrm{~K}$ (b) $2.7 \mathrm{~kJ}$

Correct Option: , 2

Solution: