First slide

Different type of processes

Question

The rise in temperature when an ideal monoatomic gas at 27°C is compressed adiabatically to (8/27) of its original volume is:

Moderate

A

450°C
B

375°C
C

225°C
D

402°C

Solution

${TV}^{γ - 1} = constant$
$300 V^{γ - 1} = T {(\frac{8 V}{27})}^{γ - 1} 300 = T {[{(\frac{2}{3})}^{3}]}^{\frac{2}{3}} h e r e γ = \frac{5}{3} T = 675 K ∆ T = 375 K o r 375^{0} C$

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