A mass of dry air at N.T.P. is compressed to `(1)/(32)` th of its original volume suddenly. If `gamma=1.4` find the final pressure of the gas if initial pressure is P.

Explanation

To find the final pressure of the gas after it is compressed to \( \frac{1}{32} \) of its original volume, we can use the adiabatic process equation for an ideal gas. The relationship between pressure and volume in an adiabatic process is given by:

\[ P_1 V_1^\gamma = P_2 V_2^\gamma \]

Where:
- \( P_1 \) is the initial pressure,
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