What is the density of carbon dioxide if its temperature is 27 degrees, and the pressure in the cylinder is 100 atm?

univerkov | March 7, 2021 | education

Initial data: T (absolute temperature of carbon dioxide) = 300 K (27 ºС); P (cylinder pressure) = 10,133 * 10 ^ 6 Pa (100 atm.).

Reference values: M (molar mass of carbon dioxide) ≈ 44 g / mol = 44 * 10 ^ -3 kg / mol; R (universal gas constant) = 8.31 J / (mol * K).

The density of carbon dioxide is determined using the Mendeleev-Clapeyron law: P * V = (m / M) * R * T, whence P * M / (R * T) = m / V = ρ.

Calculation: ρ = 10.133 * 10 ^ 6 * 44 * 10 ^ -3 / (8.31 * 300) = 178.84 kg / m3.

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