One mole of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of 2 7 ∘ C . If the work done during the process is 3 kJ , the final temperature will be equal to ( C v

Question

One mole of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of 2 7 ∘ C . If the work done during the process is 3 kJ , the final temperature will be equal to ( C v ​ = 20 JK − 1 )

TestHub · Accepted Answer

d W = d U n C V ​ Δ T = 3 1 × 20 × Δ T = 3 × 1 0 3 Δ T = 20 3000 ​ = 300 − T 2 ​ = ( S in ce a f t ere x p an s i o n t h e t e m p er a t u re w i ll b e l o w ere d ) ∴ T 2 ​ = − 2 300 ​ + 300 = 150 K

Chemistry - Thermodynamics - I Question with Solution | TestHub

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