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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ig106

For a sample of an ideal gas, which of the following statements are correct?

AThe kinetic energy of translation per mole is $\frac{3}{2} RT$
BThe kinetic energy per unit volume equals $\frac{3}{2} P$
CAt constant volume, doubling the number of molecules at the same temperature doubles the pressure
DIncreasing the pressure at constant temperature increases the rms speed

Answer: A, B, C

K E_{trans} = \frac{3}{2} n RT

per

n

mol (A). Since

P V = \frac{2}{3} K E

,

K E / V = \frac{3}{2} P

(B).

P \propto n

at fixed

V

,

T

(C). The rms speed depends only on

T

and

M

, not on

P

(D wrong).

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