The molar mass of the gas is 44 * 10-3 kg / mol. What is the density of this gas at a temperature of 300 K

| April 11, 2021 | education

The molar mass of the gas is 44 * 10-3 kg / mol. What is the density of this gas at a temperature of 300 K and a pressure of 10 ^ 5 Pa?

M = 44 * 10-3 kg / mol.

P = 105 Pa.

T = 300 ° K.

R = 8.31 m2 * kg / s2 * ° K * mol.

ρ -?

The density of a substance ρ is the ratio of its mass m to the volume V it occupies: ρ = m / V.

For gas, the Mendeleev-Cliperon equation is valid, which is determined by the formula: P * V = m * R * T / M, where P is the gas pressure, V is the gas volume, m is the gas mass, R is the universal gas constant, T is the absolute temperature gas, M is the molar mass of the gas.

Let us express the ratio of the gas mass m to its volume V, which is the gas density ρ: ρ = m / V = ​​P * M / R * T.

ρ = 105 Pa * 44 * 10: -3 kg / mol / 8.31 m2 * kg / s2 * ° K * mol * 300 ° K = 1.765 kg / m3.

Answer: the density of the gas is ρ = 1.765 kg / m3.



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