What is the density of carbon dioxide gas at - 25.2°C and 98.0 kPa? (R = 0.08206 L • atm/K • mol, 1 atm = 101,325 Pa)

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Chemistry

Gaige

8 July, 06:11

What is the density of carbon dioxide gas at - 25.2°C and 98.0 kPa? (R = 0.08206 L • atm/K • mol, 1 atm = 101,325 Pa)

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Avery Ochoa · Answer 1

Answer is: 2,09 g/L.

T (CO₂) = - 25,2°C = - 25,2 + 273,15 = 247.95 K, temperature.

p (CO₂) = 98 kPa = 0.967 atm, pressure.

R = 0.08206 L • atm/K, gas constant.

Ideal gas law pV = nRT, can write down p V = (m/M) RT.

m - mass, M - molar mass.

Since density is: d = m/V, can write MPV=mRT and than (M·P) / (R· T) = m/V.

d = 44g/mol · 0,967atm / 0,08206 L • atm/K · 247.95 K = 2,09 g/L.