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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ig103

The ideal gas equation $P V = n RT$ is applied to $1 mol$ of a gas. Which statements are correct?

AA plot of $P$ versus $T$ at constant $V$ has slope $R / V$
BA plot of $V$ versus $1/ P$ at constant $T$ has slope $RT$
CA plot of $P V$ versus $T$ has slope $R$ irrespective of $P$ or $V$
DA plot of $P$ versus $V$ at constant $T$ is a straight line with negative slope

Answer: A, B, C

P = (R / V) T

at constant

V

(A).

V = RT (1/ P)

at constant

T

(B).

P V = RT

so

P V

versus

T

has slope

R

for all states (C).

P

versus

V

at constant

T

is a rectangular hyperbola, not a straight line (D wrong).

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