If 21 J of heat energy is supplied to an ideal diatomic gas at constant pressure, then the change in its internal energy is

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Question: Answered & Verified by Expert

If

21 J

of heat energy is supplied to an ideal diatomic gas at constant pressure, then the change in its internal energy is

PhysicsThermodynamicsNEET

Options:

A $10 J$
B $12 J$
C $15 J$
D $18 J$

Solution:

2837 Upvotes Verified Answer

The correct answer is:

15 J

$Q = n C_{p} ∆ T$

$\Rightarrow 21 = n \frac{7}{2} R ∆ T$

$\Rightarrow n R ∆ T = 6$

$∆ U = \frac{5}{2} n R ∆ T$

$∆ U = \frac{5}{2} \times 6 = 15 J$

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