1.

`1 g` mole of an ideal gas at STP is subjected to a reversible adiabatic expansion to double its volume. Find the change in internal energy `( gamma = 1.4)`A. `1169.5 J`B. `769.5 J`C. `1369.5 J`D. `969.5 J`

Answer» Correct Answer - C
Use `T_(1)V_(1)^(gamma-1) = T_(2)^(gamma-1)`
`or T_(2) = (T_(1)V_(1)^(gamma-1))/(V_(2)^(gamma-1)) = (273)/((2)^(0.4)) = 207 K`.
Change in internal energy
`Delta U = (R)/((gamma-1)) (T_(1)-T_(2)) = (8.31(273-207))/(1.4-1) = 1369.5J`.


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