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Q. Liquefied natural gas (LNG) is mainly methane. A $10 \,m^{3}$ tank is constructed to store LNG at —$164^{\circ}C$ and $1\, atm$ pressure, under this condition density of LNG is $415 \,kg/m^{3}$. The volume of storage tank capable of holding --- mass of LNG as a gas at $20^{\circ}C$ and $1\, atm$ pressure will be

States of Matter

Solution:

$n=\frac{10\times415\times1000}{16}=2.59\times10^{5}$
$V=\frac{nRT}{P}=\frac{2.59\times10^{5}\times0.0821\times293}{1}$
$=6.23\times10^{6} L=6230\,m^{3}$