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  • A hypothetical gas expands adiabatically such that its volume changes from 8 litres to 27 litres. If the ratio of final pressure of the gas to initial pressure of the gas is  <img alt="\frac{1

A hypothetical gas expands adiabatically such that its volume changes from 8 litres to 27 litres. If the ratio of final pressure of the gas to initial pressure of the gas is  \frac{16}{81} . Then the ratio of \frac{\mathrm{Cp}}{\mathrm{Cv}} will be.  

Option: 1

\frac{1}{2}


Option: 2

\frac{4}{3}


Option: 3

\frac{3}{2}


Option: 4

\frac{3}{1}


Answers (1)

best_answer

For Adiabatic process,

\mathrm{P}_{1} \mathrm{~V}_{1}^{\gamma}=\mathrm{P}_{2} \mathrm{~V}_{2}^{\gamma}

\left(\frac{8}{27}\right)^{\gamma}=\frac{16}{81}
\left(\frac{2}{3}\right)^{3 \gamma}=\left(\frac{2}{3}\right)^{4}
3 \gamma=4
\gamma=\frac{4}{3}=\frac{\mathrm{Cp}}{\mathrm{Cv}}

Posted by

sudhir.kumar

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