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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ig048

A fixed mass of an ideal gas is taken through the following changes. Which statements are correct?

AIf $P$ is doubled and $T$ (kelvin) is doubled, $V$ is unchanged
BIf $V$ is halved at constant $T$ , the density doubles
CIf $T$ is doubled at constant $P$ , the density halves
DIf $P$ is halved at constant $V$ , the kelvin temperature is quartered

Answer: A, B, C

V = n RT / P

: doubling both

P

and

T

leaves

V

unchanged (A). Fixed mass in half the volume gives twice the density (B).

d = PM / RT

, so doubling

T

at constant

P

halves

d

(C). At constant

V

,

P \propto T

, so halving

P

halves

T

, not quarters it (D wrong).

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