17. If 5.00 L of an ideal gas is cooled from 24°C to - 27000
what will the volume of the gas become?

V₂ = 448.44 L

Explanation:

Given data:

Initial volume = 5.00 L

Initial temperature = 24°C

Final volume = ?

Final temperature = -27000°C

Solution:

Final temperature = -27000 + 273 = 26727 K

Initial temperature = 24 +273 = 297 K

The given problem will be solve through the Charles Law.

According to this law, The volume of given amount of a gas is directly proportional to its temperature at constant number of moles and pressure.

Mathematical expression:

V₁/T₁ = V₂/T₂

V₁ = Initial volume

T₁ = Initial temperature

V₂ = Final volume  

T₂ = Final temperature

Now we will put the values in formula.

V₁/T₁ = V₂/T₂

V₂ = V₁T₂/T₁  

V₂ = 5.00 L × 26727 K / 297 k

V₂ = 133635 L.K / 298 K

V₂ = 448.44 L