A heat-conducting piston moves freely in a closed, insulated cylinder of ideal gas ( γ = 1.4 ), dividing it into two equal parts at 360 K. The piston is slowly displaced until the larger volume is 5 t

Question

A heat-conducting piston moves freely in a closed, insulated cylinder of ideal gas ( $γ = 1.4$ ), dividing it into two equal parts at 360 K. The piston is slowly displaced until the larger volume is 5 times the smaller. Find the gas temperature in kelvin (nearest integer).

Answer:

405

Solution:

$T = T_{0} [\frac{( η + 1 ) ^{2}}{4 η}]^{\frac{( γ - 1 )}{2}} = 360 \times [\frac{36}{20}]^{0.2} = 405$ K.

TestHub · Accepted Answer

T = T 0 ​ [ 4 η ( η + 1 ) 2 ​ ] 2 ( γ − 1 ) ​ = 360 × [ 20 36 ​ ] 0.2 = 405 K.

Physics - Heat & Thermo Question with Solution | TestHub

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