A cylinder with a capacity of 16 liters contains 2 kg of oxygen at a temperature of 40 ° C. What is the pressure

A cylinder with a capacity of 16 liters contains 2 kg of oxygen at a temperature of 40 ° C. What is the pressure in the cylinder, if the molar mass of oxygen MO2 = 32 • 10-3 kg / mol?

Let’s write the Mendeleev-Clapeyron equation:

p * v = m / M * R * T, where p – pressure, v – volume, m – mass, M – mole mass, R – universal gas constant, T – temperature.

We express the pressure from it:

p = m / M * R * T / v.

We substitute the quantities known from the condition:

p = 2/32 * 10 ^ (- 3) * 8.31 * 313/16 * 10 ^ (- 3) = 1.22 * 10 ^ (6) Pa.