First slide

Different type of processes

Question

A monoatomic gas at pressure P₁ and volume V₁ is compressed adiabatically to 1/8th its original volume. What is the final pressure of the gas?

Easy

A

$P_{1}$
B

$16 P_{1}$
C

$32 P_{1}$
D

$64 P_{1}$

Solution

${PV}^{γ} = constant \Rightarrow P_{2} = P_{1} {(\frac{V_{1}}{V_{2}})}^{γ} = P_{1} {(\frac{V}{V / 8})}^{\frac{5}{3}} = 32 P_{1}$

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