Question

What is the pressure caused by 1.5x1021 helium atoms occupying a volume of 0.0023 L at a temperature of 398 K?

Answer 1

The pressure of the gas is 35.5 atm.

What is the ideal gas law?

The ideal gas law is predicated on a number of theories regarding the behavior of gases, such as the ideas that there are no intermolecular forces and that the gas particles move randomly and constantly. Although under some circumstances real gases may differ from the behavior predicted by the ideal gas law

We have that;

1 mole of the He contains 6.02 *
`10^{23`

x moles of He contains 1.5 *
`10^{21`

x = 1.5 *
`10^{21` * 1/ 6.02 *
`10^{23`

x = 0.0025 moles

Using PV = nRT

P = nRT/V

P = 0.0025 * 0.082 * 398/0.0023

P = 35.5 atm