What is the volume of a gas at -20°C if the gas occupied 50.0 cm3 at a temperature of 0°C?

Answer 1

We will use Charles Law that states that the volume of a fixed amount of gas is directly proportional to the absolute temperature of the gas. This means we can use the following equation:

V₁/T₁ = V₂/T₂

Again, it is best to use L, so I would convert to L:

50 cm³ x 1 mL/1cm³ x 1 L/ 1000 mL = 0.05 L

For the temprature, to convert Celsius to Kelvin, simply add 273. To save time, I am not doing that calculation here.

Substituting in the values into the equation we have

0.05 L/ 273 K= V₂/ 253 K

Solve for V₂ :

V₂ = 0.05 L(253 K)/ 273 K = 0.046 L

Converting this back to cm³, we have 46 cm³.