[Four-digit Integer] Liquefied natural gas (LNG) is mainly methane. A 10.0 m^3 tank is constructed t — States of Matter and Gaseous State Chemistry Question
Question
[Four-digit Integer] 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
![Chemistry diagram for: [Four-digit Integer] Liquefied natural gas (LNG) is mainly methane. A 10.0 m^3 tank is constructed to store LNG at -164°](https://urywdhpqdpvmqzlenttu.supabase.co/storage/v1/object/public/question-images/nk/ch03_exII_Q2.png)
Answer: 3900
💡 Solution & Explanation
Mass of LNG $= 10.0\times416 = 4160$ kg $= 4.16\times10^6$ g. Moles of CH$_4$ (M=16): $n = 2.6\times10^5$ mol. Gas volume at 300 K, 1.642 atm: $V = nRT/P = 2.6\times10^5\times0.0821\times300/1.642 = 3{,}900{,}000$ L $= 3900$ m$^3$. Answer: $\boxed{3900}$
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