Chemistry - Individual Gas Laws

Question

If 17.5 mols of Ar gas occupies 141.8 L, how many mL would occupy 33.5 mol occupy under the same temperature and pressure?

Answer 1

If the pressure and the temperature are the same (held constant), then you can use the following relationship:

V1/n1 = V2/n2 because under these conditions the volume (V) will be proportional to the number of moles(n)

V1 = initial volume = 141.8 L

n1 = initial # moles = 17.5

V2 = final volume = ?

n2 = final # moles = 33.5

141.8 L / 17.5 mol = x L / 33.5 mol

x = 271 L

Since the question asks for the answer to be in ml, we convert and get

271 L x 1000 ml / L = 271,000 ml