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- Determine the molar mass of a gas that has a density of 2.18 g/L at 66°C and 720 mm Hg.

1 Answer

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Answer:

M = 63.86 g/mol

Step-by-step explanation:

Given data:

Density of gas = 2.18 g/L

Temperature = 66°C

Pressure = 720 mmHg

Molar mass of gas = ?

Solution:

Temperature = 66°C = 66+273 = 339 K

Pressure = 720 mmHg = 720/760 = 0.95 atm

Formula:

d = MP/RT

R = general gas constant = 0.0821 atm.L /mol.K

Now we will put the values in formula.

2.18 g/L = M × 0.95 atm / 0.0821 atm.L /mol.K ×339 K

M = 2.18 g/L× 0.0821 atm.L /mol.K ×339 K / 0.95 atm

M = 60.67 g/mol / 0.95

M = 63.86 g/mol

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