calculate the rise in temperature when a gas for which Gamma equal to 1.4 is compressed to 10 times its original pressure assuming initial temperature at 27 degree Celsius
Answer (1)
5th Nov, 2020
T1 = 27 = 300K
Let initial pressure be P1 and final be P2 .
Now, as gas is compressed to 10 times the original pressure then :-
P1/P2 = 1/10
And, gamma = 1.4
And since the gas is compressed, so we will use
(T1 / T2 )^gamma = ( P1/P2) ^ (gamma - 1)
Therefore it becomes -
(300/ T2 )^1.4 = (1/10)^0.4
And after taking ln on both sides and solving we get :-
T2 = 578.824K
Therefore rise in temperature is :-
T2 - T1 = 578.824 - 300 = 278.824 K.
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