A monatomic ideal gas that is initially at a pressure of 1.60×10 5 and with a v

Question

A monatomic ideal gas that is initially at a pressure of 1.60×105 and with a volume of 8.00×10−2 is compressed adiabatically to a volume of 3.50×10−2 Part C What is the ratio of the final temperature of the gas to its initial temperature? A monatomic ideal gas that is initially at a pressure of 1.60×105 and with a volume of 8.00×10−2 is compressed adiabatically to a volume of 3.50×10−2 Part C What is the ratio of the final temperature of the gas to its initial temperature? Part C What is the ratio of the final temperature of the gas to its initial temperature?

Explanation / Answer

PV^a=constant

PV=nRT

but P=k / V^a

--->v^(1-a) = K*T

T2/T1 = (V2/V1)^(1-a)

a=gamma=5/3

---->T2/T1=1.735

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