MCQ
An ideal gas at atmospheric pressure is adiabatically compressed so that its density becomes $32$ times of its initial value. If the final pressure of gas is $128$ atmosphers, the value of $\gamma$ the gas is
- A$1.5$
- ✓$1.4$
- C$1.3$
- D$1.6$
✓
Answer
Correct option: B.
$1.4$
b
Volume of the gas
Volume of the gas
$v=\frac{m}{d}$ and
using $P V^{7}=$ constant
$\frac{P^{\prime}}{P}=\frac{V}{V^{\prime}}=\left(\frac{d^{\prime}}{d}\right)^{\gamma}$
$\alpha 128=(32)^{\gamma}$
$\gamma=\frac{7}{5}=1.4$
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