At a temperature of 309K and a pressure of 0.7 MPa, the gas density is 12 kg / m3. What is the molar mass of the gas?
| August 17, 2021 | education
T = 309 K.
P = 0.7 MPa = 0.7 * 10 ^ 6 Pa.
ρ = 12 kg / m ^ 3.
R = 8.31 J / mol * K.
M -?
Let’s write the Mendeleev-Cliperon equation: P * V = m * R * T / M.
M = m * R * T / P * V = ρ * R * T / P.
M = 12 kg / m ^ 3 * 8.31 J / mol * K * 309 K / 0.7 * 10 ^ 6 Pa = 0.044 kg / mol.
Answer: M = 0.044 kg / mol.
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