The pressure and density of a diatomic gas $(\gamma = 7/5)$ change adiabatically from $(P, d)$ to $(P', d')$. If $\frac{{d'}}{d} = 32$, then $\frac{{P'}}{P}$ should be
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(c) Volume of the gas $V = \frac{m}{d}$and using $P{V^\gamma }$= constant
We get $\frac{{P'}}{P} = {\left( {\frac{V}{{V'}}} \right)^\gamma } = \,{\left( {\frac{{d'}}{d}} \right)^\gamma } = {(32)^{7/5}} = 128$
We get $\frac{{P'}}{P} = {\left( {\frac{V}{{V'}}} \right)^\gamma } = \,{\left( {\frac{{d'}}{d}} \right)^\gamma } = {(32)^{7/5}} = 128$
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