Liquefied natural gas `(LNG)` is mainly methane. A `10 m^(3)` tank is constructed to store `LNG` at - `164^(@)C` and `1 atm` pressure,under this condition density of LNG is `415 kg//m^(3)`. The volume of strorage tank capable of holding …. Mass of `LNG` as a gas at `20^(@)C` and `1 atm` pressure will be

Options

A. `1250 m^(3)`
B. `5280 m^(3)`
C. `6230 m^(3)`
D. `9870 m^(3)`

Answer

C

Explanation

`n=(10xx415xx1000)/(16)= 2.59xx10^(5)`
`V=(nRT)/(P)=(2.59xx10^(5)xx0.0821xx193)/(1)`
`= 6.23xx10^(6)L= 6230m^(3)`