Determine the pressure p of hydrogen in a vessel with a volume of V = 10L at a temperature of T = 300K

Determine the pressure p of hydrogen in a vessel with a volume of V = 10L at a temperature of T = 300K, if it contains N = 5.0 * 10 ^ 14 molecules.

Given:
V = 10 l = 10-2 m3
T = 300 K
N = 5 * 1014
R = 8.31 J / mol * K gas constant
Na = 6 * 1023 mol-1 Avogadro’s number
p =?
Decision
Mendeleev-Clapeyron equation p * V = v * R * T v – amount of substance v = N / Na then p = N * R * T / V * Na
p = 5 * 1014 * 8.31 * 300 / 10-2 * 6 * 1023 = 2.08 * 10-4 (Pa)
Answer p = 2.08 * 10-4 Pa