The plots of $l o g V v s . l o g T$ at constant $P$ for 1 mole of an ideal gas gives intercept equal to:

l o g \frac{P}{R}

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- \frac{P}{R}

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- \frac{R}{P}

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l o g \frac{n R}{P}

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Solution

The correct option is D $l o g \frac{n R}{P}$
Ideal gas equation:
$P V = n R T$
by taking log
$l o g V = l o g \frac{n R T}{P} = l o g \frac{n R}{P} + l o g T$
so intercept is $l o g \frac{n R}{P}$ according to $y = m x + c$

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The plots of logVvs.logT at constant P for 1 mole of an ideal gas gives intercept equal to:

The correct option is D lognRPIdeal gas equation:PV=nRTby taking loglogV=lognRTP=lognRP+logTso intercept is lognRP according to y=mx+c

The plots of $l o g V v s . l o g T$ at constant $P$ for 1 mole of an ideal gas gives intercept equal to:

The correct option is D $l o g \frac{n R}{P}$
Ideal gas equation:
$P V = n R T$
by taking log
$l o g V = l o g \frac{n R T}{P} = l o g \frac{n R}{P} + l o g T$
so intercept is $l o g \frac{n R}{P}$ according to $y = m x + c$