MCQ
An ideal gas with adiabatic exponent $(\gamma=1.5)$ undergoes a process in which work done by the gas is same as increase in internal energy of the gas. The molar heat capacity of gas for the process is -
- ✓$C =4 R$
- B$C =0$
- C$C =2 R$
- D$C = R$
✓
Answer
Correct option: A.
$C =4 R$
a
(a)
(a)
$\Rightarrow \Delta Q =\Delta U+\Delta W$
$\Delta U=\Delta W$
$\Rightarrow \Delta Q =2\Delta U$
$\Rightarrow nC\Delta T =2 nC _{ v } \Delta t $
$\Rightarrow C =2 C _{ v }=\frac{2 R }{\gamma-1}$
$\Rightarrow C =\frac{2 R }{1.5-1}=4 R$
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