Heat is supplied to a diatomic gas at constant pressure. Then the ratio of \( \Delta Q : \Delta U : \Delta W \) is:
- \(2:3:5\)
- \(5:3:2\)
- \(2:5:7\)
- \(7:5:2\)
The Correct Option is D
Solution and Explanation
Step 1:Write each quantity} \[ \Delta Q = n\frac{7R}{2}\Delta T \] \[ \Delta U = n\frac{5R}{2}\Delta T \] \[ \Delta W = nR\Delta T \]
Step 2:Form the ratio} \[ \Delta Q : \Delta U : \Delta W \] \[ =\frac{7R}{2}:\frac{5R}{2}:R \] Multiply by \(2\): \[ 7R:5R:2R \] \[ =7:5:2 \] \[ \boxed{7:5:2} \]
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