during this process 200J of heat flow into the system and the system does 100 J
ID: 1696321 • Letter: D
Question
during this process 200J of heat flow into the system and the system does 100 J of work on its surroundings.
b) When the system is returned from b to a along the curved path, the system gives up 175 J of heat to the surroundings. what is the work done on the system?
Please give your answer step by step.
a system consists of gas contained in a cylinder fitted with a frictionless piston and is taken from state a to state b along the path a -- > c -- > b shown in the P-V diagram below: during this process 200J of heat flow into the system and the system does 100 J of work on its surroundings. a) How much heat flows into the system along the path a -- > d -- > b if yhe work done by the gas system is 50J? b) When the system is returned from b to a along the curved path, the system gives up 175 J of heat to the surroundings. what is the work done on the system? Please give your answer step by step.Explanation / Answer
According to the first law of thermodynamics, dQ =DU + dW dQ is the amount of heat transefered dU is the change in internal energy of the system dW is the work done by the system And for all thermodynamic processes, the change in internal energy of the system is independent of the path followed by the process. For the path A-->C-->B 200 J = dU + 100 J dU = 100 J a) For the path A-->D-->B dQ = 100 J + 50 J dQ = 150 J b) For the curved path A-->B 175 J = 100 J + dW dW = 75 J
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