A thermally insulated cylinder has a frictionless insulating piston at its left end, joined to the right wall by a spring whose natural length equals the cylinder length. The right part is evacuated a

Question

A thermally insulated cylinder has a frictionless insulating piston at its left end, joined to the right wall by a spring whose natural length equals the cylinder length. The right part is evacuated and one mole of an ideal diatomic gas is placed in the left part. Find the heat capacity of this spring-controlled system in units of $R$ .

Answer:

3

Solution:

$P A = k x$ , so $P V = k x^{2} = RT$ . The work on the spring is $k x d x = \frac{R}{2} d T$ . $d Q = \frac{5}{2} R d T + \frac{1}{2} R d T = 3 R d T$ . $C = 3 R$ .

TestHub · Accepted Answer

P A = k x , so P V = k x 2 = RT . The work on the spring is k x d x = 2 R ​ d T . d Q = 2 5 ​ R d T + 2 1 ​ R d T = 3 R d T . C = 3 R .

Physics - Heat & Thermo Question with Solution | TestHub

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