A sample of 1.00 mol of N2 gas is expanded adiabatically from a volume of 10.00

Question

A sample of 1.00 mol of N2 gas is expanded adiabatically from a volume of 10.00 dm3 and a temperature of 400 K to a volume of 20.00 - 3 -dm3. Assume that nitrogen is ideal, with Cv,m = 5R/2. (i) Find the final temperature if the expansion is carried out reversibly. (ii) Calculate the final temperature if the expansion is carried out with a constant external pressure of 1.00 atm. (iii) Find the final temperature if the gas expands into a vacuum. (iv) Find U and w for each of the processes in the three parts, above. (v) For the reversible expansion in (i), show that the value of w obtained from the integral wrev = -[Integral]Pdv is the same as the value of w obtained from w = U – q = U.

Explanation / Answer

A sample of 1.00 mol of N2 gas is expanded adiabatically from a volume of 10.00

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