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TS EAMCET · Physics · Thermodynamics

One mole of nitrogen gas being initially at a temperature of \(T_0=300 \mathrm{~K}\) is adiabatically compressed to increase its pressure 10 times. The final gas temperature after compression is (Assume, nitrogen gas molecules as rigid diatomic and \(100^{1 / 7}=1.9\) )

  1. A \(120 \mathrm{~K}\)
  2. B \(750 \mathrm{~K}\)
  3. C \(650 \mathrm{~K}\)
  4. D \(570 \mathrm{~K}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(570 \mathrm{~K}\)

Step-by-step Solution

Detailed explanation

Given, initial temperature of 1 mole of \(\mathrm{N}_2\) gas \[ r_0=300 \mathrm{~K} \] initial pressure of gas, \(p_1=p\) and final pressure of gas, \(p_2=10 p\) By adiabatic process relation between \(p\) and \(T\),…
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