A 100 liter bottle contains 2 g of oxygen at a temperature of 47 ° C. What is the gas pressure in the cylinder?

univerkov | September 21, 2021 | education

Task data: V (cylinder volume) = 100 l; m (mass of oxygen in the cylinder) = 2 g; Т (absolute temperature of oxygen in the cylinder) = 47 ºС = 320 K.

Constants: M (molar mass of oxygen (diatomic gas)) = 32 g / mol; R (universal gas constant) = 8.31J / (mol * K).

SI: V = 100 l = 100 * 10-3 m3.

Oxygen pressure in the cylinder (Mendeleev-Clapeyron’s law): P = m * R * T / (M * V).

Calculation: P = 2 * 8.31 * 320 / (32 * 100 * 10-3) = 1662 Pa.

Answer: The oxygen pressure in the cylinder is 1662 Pa.

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