The quantity $p V / K_{B} T$ represents the:

number of molecules in a gas

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mass of a gas

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number of moles of a gas

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molar mass of a gas

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Solution

The correct option is C number of molecules in a gas
$P V = n R T$
$n = n o . o f m o l e s$
$P V = (N / N A) \times R T$
$w h e r e N = n o . o f m o l e c u l e s$
$N A = A v o g a d r o^{'} s n u m b e r$
$∴ P V = N T \times (R / N A)$
$a s R / N A = K_{B} = B o l t z m a n n^{'} s c o n s t a n t$
$h e n c e P V = N K_{B} T$
$(P V / K_{B} T) = N = n o . o f m o l e c u l e s$

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