A gas at 53 degrees celcius occupies 4.41L. At what temperature will the volume be 3.24 L, assuming the same pressure?

Question

Please explain work and show answer thank you!

Answer 1

You can use Charles's law of ideal gas for this problem. It stated "At constant pressure, the volume (V) of a certain amount of an ideal gas is linearly proportional to its temperature (T)". (Temperature must be in the unit of Kelvin: 0 Celsius = 273K)

Mathematically, you can write it as: V ∝ T or V/T = constant

Therefore we can generate a formula; V₁/T₁ = V₂/T₂ ; eq. 1

In this case V₁ = 4.41 L, V₂ = 3.24 L, and T₁ = (53+273) K and we have to calculate T₂

By modifying eq. 1, we can get; T₂ = (V₂/V₁)*T₁ by plugin known numbers to this equation

We get T₂ = 237.3 K (to get temperature in Celsius just subtract 273 which give the answer as -35.7 degree Celsius.