A sample of nitrogen gas has a volume of 2.59 L at 21 degrees Celsius. What volume will it occupy at 98C if the pressure and number of mol are constant?

Answer 1

Use Charles' Law

V₁/T₁ = V₂/T₂

V₁ = 2.59 L

T₁ = 21 °C → convert to Kelvin = 21 + 273 = 294 K

V₂ = ?

T₂ = 98 °C → convert to Kelvin = 98 + 273 = 371 K

Rearrange the above equation to solve for V₂

V₂ = V₁T₂ / T₁ = (2.59 L x 371 K) / 294 K = 3.27 L

Charles' Law states that the volume and temperature are directly proportional. Since the temp is increased from 21 °C to 98 °C, the volume should also increase (2.59 L → 3.27 L).