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A monatomic ideal gas (γ = 5/3) is contained within a perfectly insulated cylinder that is...

A monatomic ideal gas (γ = 5/3) is contained within a perfectly insulated cylinder that is fitted with a movable piston. The initial pressure of the gas is 1.72 × 105 Pa. The piston is pushed so as to compress the gas, with the result that the Kelvin temperature doubles. What is the final pressure of the gas?

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Answer #1

Final pressure, Pf = Pi (Ti/Tf)Y/(1 - Y)

Pf = 1.72 x 10^5 x (Ti/2Ti)(5/3)/(1 - 5/3)

Pf = 1.72 x 10^5 x 22.5

Pf = 9.73 x 10^5 Pa​​​​​​

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