The heat transferred to and the work produced by this system will be the negative 12561.7 kJ and the negative 15615 kJ.
It is the study of heat and work transfer.
A spring-loaded piston-cylinder device contains 7 kg of helium as the system, as shown in the figure.
This system is heated from 100 kPa and 20°C (293 K) to 800 kPa and 160°C (433 K).
Volume at state 1 will be
V₁ = 7 × 2.0769 × 293 / 100
V₁ = 42.6 m³
Volume at state 2 will be
V₂ = 7 × 2.0769 × 433 / 800
V₂ = 7.9 m³
Then the work done will be
W = (100 + 800) / 2 x (7.9 - 42.6)
W = -15615 kJ
Then the heat transfer will be
Q = U + W
Q = 7 × 3.1156 × (160 – 20) – 15615
Q = – 12561.7 kJ
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