Ideal gas calculation

Question

Consider a sample of helium in a 5.0 liter tank with a pressure of 785 mm Hg at a temperature of 18 degree Celsius.

If the gas is heated to 75 degrees Celsius, what will the pressure inside the container be at that temperature?

Answer 1

Working with Gas Laws, the combined gas law formula is P₁V₁ ⁄ T₁ = P₂V₂ ⁄ T₂ at constant amount of the gas. Based on the information given, the volume (of the container is constant which then reduces the formula to

P₁ ⁄ T₁ = P₂ ⁄ T₂

Another thing to remember is that temperature is always used in Kelvin [ ^oC +273] for gas law calculations.

Using this information and plugging in the values in the formula:

P₁ = 785 mm; T₁ = 291 K; T₂ = 358 K the answer turns out to be 966 mm Hg.

Note: If you remember certain concepts form your gas law lessons, all the calculations will become simple.

All the best!