What is the mass of nitrogen contained in a vessel with a capacity of 4 liters, if at a temperature of 70 C

What is the mass of nitrogen contained in a vessel with a capacity of 4 liters, if at a temperature of 70 C ° the gas pressure is 1.2 * 10 ^ 5 Pa?

The mass is calculated from the equation of state for an ideal gas:
p * V = m * R * T / M, hence:
m = M * p * V / R * T;
R – universal gas constant,
T – temperature,
p – pressure,
M is the molar mass of the gas,
V-volume of gas.
We give the data in the SI system:
T = 273 + t = 273 + 70 = 343 K;
V = 4l = 0.004m ^ 3;
P = 1.2 * 10 ^ 5 Pa;
M is the molar mass of the gas – we determine according to the Mendeev table N = 14g / mol, and N2 = 14 * 2 = 28g / mol = 0.028kg / mol;
R = 8.31;
m = 0.028 * 1.2 * 10 ^ 5 * 0.004 / 8.31 * 343 = 0.0047 (kg) = 4.7 (g)