Solve for the following problem. Write the given and solution.

Question

5. A 3.5 L sample at 20o C and 750 atm contains 0.5 moles of a gas. If 0.1 mole of the gas at the same temperature and pressure is added to the sample, what is the new volume of the gas?

Answer 1

Avogadro's law:

V1 / n1 = V2 / n2

V1 = initial volume = 3.5 L

n1 = initial moles = 0.5 mol

V2 = final volume = ?

n2 = final moles = 0.1 mol + 0.5 mol = 0.6 mol

Solving for V2 we have ...

V2 = (V1)(n2) / n1

V2 = (3.5 L)(0.6 mol) / 0.5 mol

V2 = 4.2 L