Question 636: Thermodynamics & KTG

Question

A gas having $\gamma=\frac{5}{2}$ and volume 360 c.c. is suddenly compressed to 90 c.c. If the initial pressure of the gas is P , then the final pressure will be

Accepted Answer

The process is sudden, implying an adiabatic process
We know for an adiabatic process,
$$ \begin{aligned} & P_1 V_1^\gamma=P_2 V_2^\gamma \ 	herefore & \frac{P_2}{P_1}=\left(\frac{V_1}{V_2}ight)^\gamma=\left(\frac{360}{90}ight)^{\frac{5}{2}}=(4)^{\frac{5}{2}}=32 \ \Rightarrow & \frac{P_2}{P}=32 \ \Rightarrow & P_2=32 P \end{aligned} $$

Answer

$\frac{\mathrm{P}}{4}$

Answer

8 P

Answer

16 P

Answer

32 P

Thermodynamics & KTG

A gas having \gamma=\frac{5}{2} and volume 360 c.c. is suddenly compressed to 90 c.c. If the initial pressure of the gas is P , then the final pressure will be

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