First slide

First law of thermodynamics

Question

A gas is compressed at a constant pressure of 50 N/m² from volume of 10 m³ to a volume of 4 m³ . Energy of 100 J is then added to the gas by heating. Its internal energy is

Moderate

A

increased by 400 J
B

increased by 200 J
C

increased by 100 J
D

decreased by 200 J

Solution

Work done =P dV
$∴ dW = 50 \times (4 - 10) = - 300 J$
Now dQ = dU + dW
$∴ dU = dQ - dW = 100 + 300 = 400 J$
Energy is increased by 400 J.

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