Question 875: Thermodynamics & KTG

Question

A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If $$\gamma=1.5$$, then the final pressure is

Accepted Answer

As the change is sudden, the process is adiabatic
$$\begin{array}{ll}
	herefore & \mathrm{P}_1 \mathrm{~V}_1^\gamma=\mathrm{P}_2 \mathrm{~V}_2^\gamma \
	herefore & \frac{\mathrm{P}_2}{\mathrm{P}_1}=\left[\frac{\mathrm{V}_1}{\mathrm{~V}_2}ight]^\gamma=\left[\frac{4}{1}ight]^{3 / 2}=\frac{8}{1}
\end{array}$$

Answer

4 times

Answer

1.5 times

Answer

8 times

Answer

$$\frac{1}{4}$$ times

Thermodynamics & KTG

A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If $\gamma=1.5$, then the final pressure is

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