Determine the pressure in a cylinder with a capacity of V = 60L at a temperature of t = 0C

Determine the pressure in a cylinder with a capacity of V = 60L at a temperature of t = 0C, if it contains nitrogen with a mass of m = 0.60kg.

Data: V (cylinder capacity) = 60 l (60 * 10^-3 m3); t (temperature in the cylinder) = 0 ºС (273 K); m (nitrogen mass) = 0.6 kg.

Reference values: M (molar mass of nitrogen) ≈ 28 * 10^-3 kg / mol; R (universal gas constant) = 8.31 J / (mol * K).

The required pressure, which is created by the taken nitrogen in the cylinder, is expressed from the equation of state of an ideal gas: P = m * R * T / (M * V).

Calculation: P = 0.6 * 8.31 * 273 / (28 * 10^-3 * 60 * 10^-3) = 810 * 10^3 Pa = 810 kPa.

Answer: The pressure in the cylinder is 810 kPa.