Q.33. Heat is supplied to a diatomic gas at constant pressure. Then the ratio of is

Q: What is the correct answer for JEE Main Physics Q33?

The correct answer is D. Sol. For a diatomic gas, the number of degrees of freedom $f=5$. At constant pressure, for an ideal gas: Heat supplied $\Delta Q = nC_p \Delta T$ Change in internal energy $\Delta U = nC_v \Delta T$ Work done $\Delta W = P \Delta V = nR \Delta T$ We know that $C_p = C_v + R$. Also, $C_v = \frac{f}{2}R$. For a diatomic gas, $f=5$. So, $C_v = \frac{5}{2}R$. And $C_p = C_v + R = \frac{5}{2}R + R =

Q: Q.33. Heat is supplied to a diatomic gas at constant pressure. Then the ratio of is

The correct answer is D. Sol. For a diatomic gas, the number of degrees of freedom $f=5$. At constant pressure, for an ideal gas: Heat supplied $\Delta Q = nC_p \Delta T$ Change in internal energy $\Delta U = nC_v \Delta T$ Work done $\Delta W = P \Delta V = nR \Delta T$ We know that $C_p = C_v + R$. Also, $C_v = \frac{f}{2}R$. For a diatomic gas, $f=5$. So, $C_v = \frac{5}{2}R$. And $C_p = C_v + R = \frac{5}{2}R + R =

Q: What are the options for this JEE Main Physics question?

A. 3:5 · B. 3:2 · C. 5:7 · D. 5:2

Question

Q.33. Heat is supplied to a diatomic gas at constant pressure. Then the ratio of  is

FirstInTest · Accepted Answer

Sol. For a diatomic gas, the number of degrees of freedom $f=5$.

At constant pressure, for an ideal gas:
Heat supplied $\Delta Q = nC_p \Delta T$
Change in internal energy $\Delta U = nC_v \Delta T$
Work done $\Delta W = P \Delta V = nR \Delta T$

We know that $C_p = C_v + R$. Also, $C_v = \frac{f}{2}R$.
For a diatomic gas, $f=5$.
So, $C_v = \frac{5}{2}R$.
And $C_p = C_v + R = \frac{5}{2}R + R = \frac{7}{2}R$.

Now, let's find the ratios:
$\Delta Q = n(\frac{7}{2}R) \Delta T = \frac{7}{2} nR \Delta T$
$\Delta U = n(\frac{5}{2}R) \Delta T = \frac{5}{2} nR \Delta T$
$\Delta W = nR \Delta T$

The ratio $\Delta Q : \Delta U : \Delta W$ is:
$\frac{7}{2} nR \Delta T : \frac{5}{2} nR \Delta T : nR \Delta T$
Dividing by $nR \Delta T$:
$\frac{7}{2} : \frac{5}{2} : 1$
Multiplying by 2:
$7 : 5 : 2$.

So the ratio is $7:5:2$.

Answer

3:5

Answer

3:2

Answer

5:7

Answer

5:2

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