Answer to Question #62943 in General Chemistry for Scott

Question

The density of carbon dioxide gas was measured at pressure of 0.8 atm and temperature of 37 c. it was found to be equal to:

Answer 1

Assume that carbon dioxide here behaves as an ideal gas and we can use the ideal gas law:

PV = nRT

Let us derive density in [mol/l]:

D = n/V = P/RT

And then in g/l:

D = m/V = nM/V = PM/RT

Here R = 8.314 (L*kPa)/(mol*K)
P = 0.8 atm * 101.3 kPa/atm =
T = 310 K
M = 44 g/mol

D = 81.04 * 44 / (8.314 * 310) = 1.38 g/L or 1.38 * 10^(-3) g/cm^3