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TS EAMCET · Physics · Thermodynamics

The mean kinetic energy of monoatomic gas molecules under standard conditions is \(\left\langle E_1\right\rangle\). If the gas is compressed adiabatically 8 times to its initial volume, the mean kinetic energy of gas molecules changes to \(\left\langle E_2\right\rangle\). The ratio \(\frac{\left\langle E_2\right\rangle}{\left\langle E_1\right\rangle}\) is

  1. A 2
  2. B 4
  3. C 6
  4. D 8
Verified Solution

Answer & Solution

Correct Answer

(B) 4

Step-by-step Solution

Detailed explanation

In adiabatic process, \[ T V^{\gamma-1}=\text { constant } \] In given conditions, \[ V_1=V\left(\text { say), so } V_2=\left(\frac{V}{8}\right)\right. \] and \(\gamma=\frac{5}{3}\) (gas is monoatomic) So,…
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