Liquefied natural gas (LNG) is mainly methane. A 10.0 m 3 tank is constructed to store LNG at -164°C and 1atm pressure, under which conditions its density is 416 kg/m 3 . The volume (in m 3 ) of a storage tank capable of holding the same mass of LNG as a gas, at 27°C and 1.642 atm pressure, is

Mass of LNG = 10.0 × 416 = 4160 kg = 4.16 × 10 6 g; moles of CH4 = 4.16 × 10 6 /16 = 2.60 × 10 5 mol. V = nRT/P = 2.60 × 10 5 x 0.0821 × 300/1.642 = 3.9 × 10 6 L = 3900 m 3 .

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Liquefied natural gas (LNG) is mainly methane. A 10.0 m³ tank is constructed to store LNG at -164°C and 1atm pressure, under which conditions its density is 416 kg/m³. The volume (in m³) of a storage tank capable of holding the same mass of LNG as a gas, at 27°C and 1.642 atm pressure, is

Answer:

3900.00

Solution:

Mass of LNG = 10.0 × 416 = 4160 kg = 4.16 × 10⁶ g; moles of CH4 = 4.16 × 10⁶/16 = 2.60 × 10⁵ mol.

V = nRT/P = 2.60 × 10⁵ x 0.0821 × 300/1.642 = 3.9 × 10⁶ L = 3900 m³.

Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Ideal Gas Equation & problems

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