Thermodynamics Question 6

Question 6 - 30 January - Shift 2

1 mole of ideal gas is allowed to expand reversibly and adiabatically from a temperature of $27^{\circ} C$. The work done is $3 kJ mol^{-1}$. The final temperature of the gas is $K$ (Nearest integer). Given $C_v=20 J mol^{-1} K^{-1}$.

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Answer: (150)

Solution:

Formula: Gibb’s Free Energy

$ q=0 $

$\Delta U=w$

$1 \times 20 \times[T_2-300]=-3000$

$T_2-300=-150$

$T_2=150 K$