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26/09/2021 11:24 am
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Fixed mass of an ideal gas contained in a 24.63 L sealed rigid vessel at 1 atm is heated from -73°C to 27°C. Calculate change in gibb's energy if entropy of gas is a function of temperature as S = 2 + 10-2 T (J/K): (Use 1 atm L = 0.1 kJ)
(a) 1231.5 J
(b) 1281.5 J
(c) 781.5 J
(d) 0
1 Answer
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26/09/2021 11:35 am
Correct answer: (c) 781.5 J
Explanation:
At constant volume,
\(\frac{P_1}{T_1}\) = \(\frac{P_2}{T_2}\)
⇒ P2 = 1 x \(\frac{300}{200}\) = \(\frac{3}{2}\)
and V1 = 24.63 L
For single phase
∵ dG = Vdp - SdT
ΔG = VΔP - ∫(2 + 102 T)dT
= 1231.5 - 200 - \(\Big(\frac{10^{-2}\times 50,000}{2}\Big)\)
= 781.5 J