Q36 / 160 · TS EAMCET 2004 · Chemistry

Assertion (A) At $300 \mathrm{~K}$, kinetic energy of $16 \mathrm{~g}$ of methane is equal to the kinetic energy of 32 $g$ of oxygen.Reason (R) At constant temperature, kinetic energy of one mole of all gases is equal.

  • Correct answer
    A
    Both $(A)$ and $(R)$ are true and $(R)$ is the correct explanation of $(A)$
  • B
    Both $(A)$ and $(R)$ are true but $(R)$ is not the correct explanation of $(A)$
  • C
    $(A)$ is true but $(R)$ is not true
  • D
    $(A)$ is not true but $(R)$ is true

Solution

Kinetic energy for one mole gas is given by equation, $$ \begin{aligned} & E=\frac{3}{2} k T \text { (where, } k=\text { Boltzman's constant) } \\ & \therefore \quad E \propto T \end{aligned} $$ Thus at constant temperature kinetic energy of one mole of any gas is equal.

Hence, the correct answer is option: 'A'.

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