A diatomic gas, having CP = 7 2 R a n d C V = 5 2 R , is heated at constant pressure. The ratio dU : dQ : dW :

At constant pressure, d U = n C V d T = n . 5 2 R d T d Q = n C P d T = n . 7 2 R d T dW = nRdT dU : dQ : dW = 5 : 7 : 2

A diatomic gas, having C_P $= \frac{7}{2} R a n d C_{V} = \frac{5}{2} R,$ is heated at constant pressure. The ratio dU : dQ : dW :

Option 1 - <math> <mrow> <mn>5</mn> <mo>:</mo> <mn>7</mn> <mo>:</mo> <mn>3</mn> </mrow> </math>

Option 2 - <math> <mrow> <mn>5</mn> <mo>:</mo> <mn>7</mn> <mo>:</mo> <mn>2</mn> </mrow> </math>

Option 3 - <math> <mrow> <mn>3</mn> <mo>:</mo> <mn>5</mn> <mo>:</mo> <mn>2</mn> </mrow> </math>

Option 4 - <math> <mrow> <mn>3</mn> <mo>:</mo> <mn>7</mn> <mo>:</mo> <mn>2</mn> </mrow> </math>

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Vishal Baghel | Contributor-Level 10

4 months ago

Correct Option - 2

Detailed Solution:

At constant pressure,

$d U = n C_{V} d T = n . \frac{5}{2} R d T$

$d Q = n C_{P} d T = n . \frac{7}{2} R d T$

dW = nRdT

dU : dQ : dW = 5 : 7 : 2

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