Question:
If gas absorbs 150 J of heat and expands by \(450 \, \text{cm}^3\) against a constant pressure of \(2 \times 10^5 \, \text{N/m}^2\), then change in internal energy is
If gas absorbs 150 J of heat and expands by \(450 \, \text{cm}^3\) against a constant pressure of \(2 \times 10^5 \, \text{N/m}^2\), then change in internal energy is
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Always convert cm\(^3\) to m\(^3\) before using \(W = P\Delta V\).
Updated On: Apr 22, 2026
- \( -60 \, \text{J} \)
- \( 60 \, \text{J} \)
- \( 240 \, \text{J} \)
- \( -240 \, \text{J} \)
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The Correct Option is B
Solution and Explanation
Concept:
First law of thermodynamics:
\[
\Delta U = Q - W
\]
Step 1: Convert volume.
\[ 450 \, \text{cm}^3 = 450 \times 10^{-6} = 4.5 \times 10^{-4} \, \text{m}^3 \]
Step 2: Work done.
\[ W = P\Delta V = 2 \times 10^5 \times 4.5 \times 10^{-4} = 90 \, \text{J} \]
Step 3: Apply formula.
\[ \Delta U = 150 - 90 = 60 \, \text{J} \]
Step 1: Convert volume.
\[ 450 \, \text{cm}^3 = 450 \times 10^{-6} = 4.5 \times 10^{-4} \, \text{m}^3 \]
Step 2: Work done.
\[ W = P\Delta V = 2 \times 10^5 \times 4.5 \times 10^{-4} = 90 \, \text{J} \]
Step 3: Apply formula.
\[ \Delta U = 150 - 90 = 60 \, \text{J} \]
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