1 moles of an ideal diatomic gas is subjected to a process AB such that PT remains constant as shown. Calculate the magnitude of heat exchange during the process AB (in Cal). [Given : R = 2 cal /mol K]

Engineering

Chemistry

Polytropic Process

Question

1 moles of an ideal diatomic gas is subjected to a process AB such that PT remains constant as shown. Calculate the magnitude of heat exchange during the process AB (in Cal).

[Given : R = 2 cal /mol K]

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PT = constant
P²V = constant ⇒ PV^1/2 = constant
for polytropic process
C_m = C_v,m + $\frac{R}{(1 - x)}$
$= \frac{5}{2} R + \frac{R}{1 / 2} = \frac{9 R}{2}$

At point A and B : P₁ T_A = 3P₁ × 300 Heat exchanged = nC_mΔT
TA = 900K = 1 × $\frac{9}{2}$ × R × (300 – 900)
= – 5400 cal
Magnitude of heat exchanged = 5400 cal.

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