The kinetic energy of one mole of a gas is given by the expression : K E = 3 PV 2 and…

Chemistry · JEE Advanced · NTA ExamsStates of Matter (Gases and Liquids)

The kinetic energy of one mole of a gas is given by the expression :
\(\mathrm{K} \cdot \mathrm{E} \cdot=\frac{3 \mathrm{PV}}{2} \text { and K.E. }=\frac{3}{2} \mathrm{RT}\) 
Hence, it can be said that
  1. K.E. \(\propto\) P at constant temperature
  2. K.E. \(\propto\) T at constant pressure
  3. K.E. is not directly proportional to volume at constant temperature
  4. K.E. \(\propto\) V at constant temperature

Answer

(B) K.E. T at constant pressure, (C) K.E. is not directly proportional to volume at constant temperature

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