A system of gases begins at point p 1 v 1 and is transformed to the end at p 2 v

Question

A system of gases begins at point p1v1and is transformed to the end at p2v2 on a pVplane. Three different paths are used for the transformation of thegases (a, b, c). The diagram is shaped like an eye with a linethrough the middle. The line through the middle is labelled b andthe top rounded part is a and the bottom rounded part c.p1v1 is at the point of the eye near thebottom and p2v2 is at the point near thetop.)
Assume 25 J of work is done on the gas by an external sourcealong path a and 45 J of heat is added to the system. 20 J of workis donw along path b.
***If these are possible***, (if not possible please statewhy)
a) Calculate the change in internal energy along path a.
b) Calculate the change in internal energy along path b.
c) What is the heat supplied along path b.
d) Calculate the change in internal energy, heat supplied, andwork done along path c.
Thanks so much in advance. Not sure where to go with thisone. A system of gases begins at point p1v1and is transformed to the end at p2v2 on a pVplane. Three different paths are used for the transformation of thegases (a, b, c). The diagram is shaped like an eye with a linethrough the middle. The line through the middle is labelled b andthe top rounded part is a and the bottom rounded part c.p1v1 is at the point of the eye near thebottom and p2v2 is at the point near thetop.) Assume 25 J of work is done on the gas by an external sourcealong path a and 45 J of heat is added to the system. 20 J of workis donw along path b. ***If these are possible***, (if not possible please statewhy) a) Calculate the change in internal energy along path a. b) Calculate the change in internal energy along path b. c) What is the heat supplied along path b. d) Calculate the change in internal energy, heat supplied, andwork done along path c. Thanks so much in advance. Not sure where to go with thisone.

Explanation / Answer

Wa = -25 J, Qa = 45 J, so U =Qa - Wa = 70 J U is the same for a, b and c a) 70 J b) 70 J c) given Wb = -20 J Qb = U + Wb = 50 J d) U = 70 J Wc > -20 J (Wb), or absolute value ofWc < 20 J, but can't be found, because it depends onthe shape of c Qc = U + Wc can't be foundeither.

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