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TS EAMCET · Physics · Thermodynamics

At constant pressure, equal amounts of heat are supplied to a monatomic gas and a diatomic gas separately. The ratio of the increases in internal energies of the two gases is

  1. A 1:1
  2. B 9:49
  3. C 3:7
  4. D 21:25
Verified Solution

Answer & Solution

Correct Answer

(D) 21:25

Step-by-step Solution

Detailed explanation

\(\Delta U = Q \frac{C_v}{C_p}\) \(\left(\frac{C_v}{C_p}\right)_{\text{monatomic}} = \frac{3/2 R}{5/2 R} = \frac{3}{5}\) \(\left(\frac{C_v}{C_p}\right)_{\text{diatomic}} = \frac{5/2 R}{7/2 R} = \frac{5}{7}\)…