An ideal gas is allowed to expand isothermally until it reaches its final volume

Question

An ideal gas is allowed to expand isothermally until it reaches its final volume. It is then heated at constant volume until it reaches its final pressure. The initial state of the gas is P1 -3.05 atm, V1-1.00 L, ad Ein1 412 J, and its final state has volume V2-3.05 Land Eint 2-984 J. 1) Calculate the work done by the gas. Be careful with signs: if the work you calculate turns out to be, for example, -50 J in our sign convention, this means that 50 J of work were done by the gas J Submit You currently have 0 submissions for this question. Only 5 submission are allowed You can make 5 more submissions for this question. 2) Find the heat absorbed by the gas during this process. J Submit You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question.

Explanation / Answer

According to the given problem,

(a) W = v1v2 [p dV],

where p = (p1 V1)/V.

Hence, W = (p1 V1) ln(V2/V1)

W= (309.04 kPa)(0.001 m3) ln(3.05)

W = 344.62 J

(b) Using First law of thermodymics

Q = E + W

Q = [984-412] J + 344.62 J

Q = 916.6 J

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