How much heat did the gas receive if it is known that a work of 8 kJ

How much heat did the gas receive if it is known that a work of 8 kJ was performed to compress it, and the increase in internal energy was 24.5 kJ?

Aext = 8 kJ = 8000 J.
ΔU = 24.5 kJ = 24500 J.
Q -?
According to 1 law of thermodynamics: the amount of heat Q that the gas receives goes to the gas to perform work A and to increase its internal energy ΔU: Q = A + ΔU.
Since the gas is compressed, the work of gas A will be equal to the work of the external forces Avnesh, only with a minus sign.
A = – Avnesh.
Q = – Aext + ΔU.
Q = – 8000 J + 24500 J = 16500 J = 16.5 kJ.
Answer: the gas received heat Q = 16.5 kJ.



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