Answer to Question #298221 in General Chemistry for BoyBoy

Question

If I have a 50 liter container that holds 45 moles of gas at a temperature of 472K, what is the pressure

inside the container? Solving for "p"

Answer 1

Gas variables provided are;

V= 50L

n=45 moles

T= 472K

P=unknown

Using the Ideal Gas Laws expression PV=nRT

P=nRT/V, where R=0.0821 atm.L/mol.K

Substituting for the variables in the above equation

P= [(45 mol ×0.0821 atm.L)/mol.K ×472K]/50L,* mol cancels out, K cancels out.

P= 1743.804 atm.L/50L,* L cancels out

P= 34.876 atm , approximately equals to 35 atm ( 2 sig.figures)

Therefore pressure P = 35 atm.