Question

If a gas at 25.0 degrees Celsius occupies 7.20 liters at a pressure of 1.00 atm, what will be its volume at a pressure of 2.50 atm?

Answer 1

Answer:

2.88 L.

Explanation:

• To calculate the no. of moles of a gas, we can use the general law of ideal gas: PV = nRT.

where, P is the pressure of the gas in atm.

V is the volume of the gas in L.

n is the no. of moles of the gas in mol.

R is the general gas constant.

T is the temperature of the gas in K.

• If n and T is constant, and have two different values of (P and V):

P₁V₁ = P₂V₂

P₁ = 1.0 atm, V₁ = 7.2 L.

P₂ = 2.5 atm, V₂ = ??? L.

∴ V₂ = P₁V₁/P₂ = (1.0 atm)(7.2 L)/(2.5 atm) = 2.88 L.