A large natural gas storage tank is arranged so that the pressure is maintained at 2.20 atm. On a cold day in December when the temperature is - 15°C, the volume of gas in the tank is 28,500ᶠᵗ³. What is the volume of the same quantity of gas on a warm July day when the temperature is 31°C?

Question

Chemistry

Haiden

16 February, 06:54

A large natural gas storage tank is arranged so that the pressure is maintained at 2.20 atm. On a cold day in December when the temperature is - 15°C, the volume of gas in the tank is 28,500ᶠᵗ³. What is the volume of the same quantity of gas on a warm July day when the temperature is 31°C?

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Answers (1)

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Harper Lang · Answer 1

V₂ = 33581.4 ft³

Explanation:

Given dа ta:

Initial temperature = - 15 °C (-15+273 = 258 k)

Initial volume = 28500 ft³

Final temperature = 31 °C (31+273 = 304)

Final volume = ?

Solution:

According to the Charles's law

Temperature and volume are directly related to each other.

V₁/T₁ = V₂/T₂

V₂ = V₁*T₂ / T₁

V₂ = 28500 ft³ * 304 k / 258 k

V₂ = 8664000 ft³. k / 258 k

V₂ = 33581.4 ft³