The pressure and density of a diatomic gas $\left(\mathrm{\gamma }=7/5\right)$ change adiabatically from $\left(\mathrm{P},\mathrm{\rho }\right) \mathrm{to} \left(\mathrm{P}\text{'},\mathrm{\rho }\text{'}\right).$If $\left(\mathrm{P}\text{'}/\mathrm{P}\right)=32,\left(\mathrm{\rho }\text{'}/\mathrm{\rho }\right)$should equal:

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