The gas occupies a volume of 100 liters at normal atmospheric pressure and room temperature 20C.

The gas occupies a volume of 100 liters at normal atmospheric pressure and room temperature 20C. What is the amount of gas substance? How many gas molecules are there in this vessel?

P = 101325 Pa;

V = 100 l = 0.1 m3;

T = 20 ° C = 293 K;

The state of the gas is described by the Mendeleev-Clapeyron equation:

PV = nRT;

Let’s find the amount of gas substance:

n = (PV) / (RT) = (101325 * 0.1) / (293 * 8.314) = 4.16 mol;

Let’s find the number of gas molecules:

N = n * NA = 4.16 * 6.02 * 10 ^ 23 = 2.5 * 10 ^ 24.

Answer: n = 4.16 mol; N = 2.5 * 10 ^ 24.