A) \[Q=2RT\]
B) \[Q=RT\]
C) \[Q=3RT\]
D) \[Q=4RT\]
Correct Answer: B
Solution :
\[Q=\Delta U\]\[={{U}_{f}}-{{U}_{i}}\] = [internal energy of 4 moles of a monoatomic gas + internal energy of 2 moles of a diatomic gas] ? [internal energy of 4 moles of a diatomic gas] \[=\left( 4\times \frac{3}{2}RT+2\times \frac{5}{2}RT \right)-\left( 4\times \frac{5}{2}RT \right)\] = RT Note : 2 moles of diatomic gas becomes 4 moles of a monoatomic gas when gas dissociated into atoms. Internal energy of m moles of an ideal gas of degrees of freedom F is given by \[U=\frac{f}{2}\mu RT\] F = 3 for a monoatomic gas and 5 for diatomic gas.
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