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NEETPhysicsKinetic Theory of Gases

Read the following statements regarding the graphical representation of a given mass of an ideal gas: (I) In a V - T graph (where V is on the y-axis and T is on the x-axis), an isobar with a steeper slope corresponds to a lower pressure. (II) In a P - T graph (where P is on the y-axis and T is on the x-axis), an isochore with a steeper slope corresponds to a higher volume. (III) In a P - V graph, an isotherm further

Options

  1. AOnly one
  2. BOnly three
  3. COnly two
  4. DAll four

Correct answer

C. Only two

Step-by-step solution

Statement I is correct: From the ideal gas equation V = ( nR P )T , the slope of a V - T graph is nR P . A steeper slope means a larger value of nR P , which corresponds to a lower pressure. Statement II is incorrect: From P = ( nR V )T , the slope of a P - T graph is nR V . A steeper slope means a larger value of nR V , which corresponds to a lower volume, not higher. Statement III is correct: In a P - V graph, PV = nRT . For a higher temperature T , the product PV is larger, so the rectangular hyperbola lies furt

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