Calculate the molecular weight of chlorine if the mass of chlorine with a volume of 250 cm3 at 0 ° C

Calculate the molecular weight of chlorine if the mass of chlorine with a volume of 250 cm3 at 0 ° C and a pressure of 101.325 Pa is 0.7924 g.

1. For calculations you need:

PV = nRT;

n = m: M;

2.we express the desired molecular weight from the formula:

P * V = (m: M) * R * T;

M = (m * R * T): (P * V);

3.Let us convert the units to those accepted for calculations:

V = 250 cm3 = 0.25 dm3;

T = 0 ° C = 273 K;

P = 101325 Pa = 101.325 kPa;

R = 8.314 J / (mol * K);

4.M = (0.7924 * 8.314 * 273): (101.325 * 0.25) = 1798.53: 25.33 = 71 g / mol.

Answer: 71 g / mol.