Sample of different gases are given at different conditions in column-I and column-II consist of translational kinetic energy of these gases at given conditions List - I List - II (P) 2 mole of SO 2

Question

Sample of different gases are given at different conditions in column-I and column-II consist of translational kinetic energy of these gases at given conditions

List - I	List - II
(P) 2 mole of $SO_{2} (g)$ at 700 K	(1) Maximum K.E. per gram
(Q) 1 mole of $SO_{3} (g)$ at 400 K	(2) Maximum total K.E.
(R) $4 Mole CH_{4} (g)$ at 300 K	(3) Minimum K.E. per gram
(S) $2.5 Mole He (g)$ at 450 K	(4) Minimum K.E. per molecule

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TestHub · Accepted Answer

Question Explanation: Comparing translational kinetic energy for different gas samples.

Concept: Translational Kinetic Energy

Solution: Total translational K.E. depends on the number of moles and temperature (nRT), while K.E. per gram depends on temperature and inversely on molar mass (T/M). K.E. per molecule depends only on temperature.

Total K.E. ( $n RT$ ): For (P), $2 \times 700 = 1400 R$ (Maximum).

K.E. per gram ( $\propto T / M$ ): For (Q), $400/80 = 5$ (Minimum); For (S), $450/4 = 112.5$ (Maximum).

K.E. per molecule ( $\propto T$ ): For (R), $T = 300 K$ is the lowest (Minimum).

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