SATHEE: Thermodynamics and Thermochemistry 1 Question 1

Thermodynamics and Thermochemistry 1 Question 1

1. An ideal gas is allowed to expand from $1 L$ to $10 L$ against a constant external pressure of 1 bar. The work done in $kJ$ is

(2019 Main, 12 April I)

(a) -9.0

(b) +10.0

(c) -0.9

(d) -2.0

Show Answer

Solution:

Key Idea Work done during isothermal expansion of an ideal gas is given by the equation.

$W = - p_{ext} (V_{2} - V_{1})$

According to the given conditions, the expansion is against constant external pressure. So, the work done is given by following formula;

$\begin{aligned} W & = - p_{ext} (V_{2} - V_{1}) & = - 1 bar (10 L - 1 L) = - 9 L bar (∵ 1 Lbar = 100 J) & = - 9 \times 100 J = - 0.9 kJ \end{aligned}$

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Thermodynamics and Thermochemistry 1 Question 1

1. An ideal gas is allowed to expand from 1 L to 10 L against a constant external pressure of 1 bar. The work done in kJ is

Solution:

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1. An ideal gas is allowed to expand from $1 L$ to $10 L$ against a constant external pressure of 1 bar. The work done in $kJ$ is