During an experiment, an ideal gas is found to obey a condition p^ 2 = constant [ =…

Physics · JEE Advanced · NTA ExamsKinetic Theory of Gases

During an experiment, an ideal gas is found to obey a condition \(\frac{p^{2}}{\rho}\) = constant [\(\rho\)= density of the gas]. The gas is initially at temperature T, pressure P and density \(\rho\). The gas expands such that density changes to \(\rho\)/2
  1. The pressure of the gas changes to \(\sqrt{2} P\)
  2. The temperature of the gas changes to \(\sqrt{2} T\)
  3. The graph of the above process on the P-T diagram is parabola
  4. The graph of the above process on the P-T diagram is hyperbola

Answer

(B) The temperature of the gas changes to 2 T, (D) The graph of the above process on the P-T diagram is hyperbola

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