Question

A gas cylinder contains only the gases radon, nitrogen, and helium. The radon has a pressure of 29.60 kPa while the nitrogen has a pressure of 59.46 kPa. If the total pressure inside the cylinder is 102.79 kPa, what is the pressure that is due to the helium?

Answer 1

The pressure due to helium in the gas cylinder is 13.73 kPa, calculated by subtracting the pressures of radon and nitrogen from the total pressure according to Dalton's Law of Partial Pressures.

Step-by-step explanation:

If the total pressure inside a cylinder containing radon, nitrogen, and helium gases is 102.79 kPa, and the partial pressures of radon and nitrogen are 29.60 kPa and 59.46 kPa, respectively, we can find the partial pressure of helium using Dalton's Law of Partial Pressures. This law states that the total pressure of a mixture of non-reacting gases is equal to the sum of their individual partial pressures.

To find the pressure due to helium, we subtract the pressures of radon and nitrogen from the total pressure:

Total pressure = Pressure due to Radon + Pressure due to Nitrogen + Pressure due to Helium

102.79 kPa = 29.60 kPa + 59.46 kPa + Pressure due to Helium

Pressure due to Helium = 102.79 kPa - 29.60 kPa - 59.46 kPa

Pressure due to Helium = 13.73 kPa