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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ig213

Consider $1 mol$ of $He$ (4) and $1 mol$ of $N X_{2}$ (28) each at $300 K$ in separate $10 L$ vessels. Which statements are correct?

ABoth gases exert the same pressure
BThe total translational kinetic energy is the same for both
CThe rms speed of He is $7$ times that of $N X_{2}$
DThe He atoms strike the walls more frequently than the $N X_{2}$ molecules

Answer: A, B, C, D

Equal

n

,

V

,

T

: equal

P

(A).

K E = \frac{3}{2} RT

per mole, same (B).

28/4 = 7

(C). He moves faster, so it hits the walls more often; the pressure is the same because each He collision transfers less momentum (D). All correct.

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