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Dry air at 15^0 C and 10 atm is suddenl...

Dry air at `15^0 C` and 10 atm is suddenly released at atmospheric pressure. Find the final temperature of the air `[C_p / C_v = 1.41]`.

Text Solution

Verified by Experts

As the air is suddenly released, it does not get
time to exchange heat with the surrounding. Thus the
process is adiabatic. Assuming the process to be reversible,
`T^gamma / P gamma^(-1)` = constant
or, `T_1^gamma / P_1 gamma^(-1)` = T_2 gamma / P_2 gamma (-1)`
or `(T_2 / T_1)gamma = ( P_2 / P_1) gamaa ^(-1)`
or, `T_2 = T_1 (P_2/ P_1)gamma^(-1)/gamma.
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