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An ideal gas at 27^{\circ} \mathrm{C} is compressed adiabatically to  8 / 27 of its original volume. The rise in temperature is (take, \mathrm{y}=5 / 3)

Option: 1

475^{\circ} \mathrm{C}


Option: 2

150^{\circ} \mathrm{C}


Option: 3

275^{\circ} \mathrm{C}


Option: 4

402^{\circ} \mathrm{C}


Answers (1)

best_answer

We know that, \mathrm{p V^{\gamma}= constant}

\mathrm{T^{\gamma-1} =\text { constant }}
\mathrm{ \quad 300 =\left(\frac{8}{27}\right)^{2 / 3} T_{2}}

\mathrm{\Rightarrow T_{2} =675 \mathrm{~K}=402^{\circ} \mathrm{C} }


 

Posted by

Devendra Khairwa

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