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Question: A sample of ideal gas (g = 1.4) is heated at constant pressure. If an amount of 100 J heat is suppli...

A sample of ideal gas (g = 1.4) is heated at constant pressure. If an amount of 100 J heat is supplied to the gas, the work done by the gas is:

A

42.12 J

B

56.28 J

C

28.57 J

D

36.23 J

Answer

28.57 J

Explanation

Solution

nCpDT = 100 J

n(γRγ1)ΔT=100Jn\left( \frac{\gamma R}{\gamma - 1} \right)\Delta T = 100J, nRDT = (100×γ1γ)\left( 100 \times \frac{\gamma - 1}{\gamma} \right)

W = nRDT = 100 × 0.41.4\frac{0.4}{1.4}