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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ig160

The density of a gas X is $d_{X}$ at $T$ and $P$ . Which of the following are correct?

ADensity of X at $2 T$ and $2 P$ is $d_{X}$
BDensity of X at $2 T$ and $P$ is $2 d_{X}$
CIf gas Y has molar mass $2 M_{X}$ , its density at $T$ and $P$ is $2 d_{X}$
DDensity of X at $T$ and $P /2$ is $d_{X} /2$

Answer: A, C, D

d = PM / RT

. Doubling both

P

and

T

leaves

d

unchanged (A). Doubling

T

alone halves

d

, so (B) is wrong.

d \propto M

at fixed

T

,

P

(C). Halving

P

halves

d

(D).

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