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Q. Two moles of $N _{2}$ gas in a $50\, L$ vessel at $STP$ shows

States of Matter

Solution:

$Z=\frac{P V}{n R T}$

at $STP , P=1 \,atm , T=273 \,K$

Given, $ V=50 L , n=2 \,mol , R=0.0821 \,L$ atm $K ^{-1} mol ^{-1}$

$Z=\frac{1 \times 50}{2 \times 0.0821 \times 273}=1.1$

Since $Z>1,$ the gas shows positive deviation from ideal behaviour.