Ideal Gas Law Chemistry

Question

If 11.5 moles of an ideal gas occupies 26.5 liters at 323 K, what is the pressure of the gas?

 

atm =?

Answer 1

The Ideal Gas Law is

PV = nRT

If you rearrange the formula to solve for Pressure(P) that becomes

P = nRT / V

Then for this set of values that means

P = (11.5 mol x 0.0821 L atm/mol K x 323 K) / 26.5 L = 11.51 atm

meaning that the pressure of the gas is 11.51 atm

Answer 2

Given the conditions, we can use the ideal gas law equation and solve for the pressure variable:

 

PV = nRT

P(26.5 L) = (11.5 moles)(0.08206 atm.L/mol.K)(323 K)

P =[(11.5 moles)(0.08206 atm.L/mol.K)(323 K)]/(26.5 L)

   = 11.5 atm