The gas was transferred to 20 kJ of heat, what is the change in internal energy
January 28, 2021 | education
| The gas was transferred to 20 kJ of heat, what is the change in internal energy, if it did work equal to 60 kJ. Was the gas cooled or heated?
A = 60 kJ = 60,000 J.
Q = 20 kJ = 20,000 J.
ΔU -?
According to the first law of thermodynamics, the amount of heat Q received by the thermodynamic system is spent on: performing mechanical work A by this system or changing its internal energy: Q = A + ΔU.
ΔU = Q – A.
ΔU = 60,000 J – 20,000 J = 40,000 J.
ΔU = U2 – U1 = 40,000 J.
The internal energy of the gas has increased, since U2> U1, which means it has heated up.
Answer: the gas has heated up, and its internal energy has increased by ΔU = 20,000 J.
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