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Sagot :
The molar mass of the gas with the given mass and volume at the given temperature and pressure is 16.00g/mol.
What is the molar mass of the gas?
From the Ideal gas law or general gas equation;
PV = nRT
Where P is pressure, V is volume, n is the amount of substance, T is temperature and R is the ideal gas constant ( 0.08206 Latm/molK )
Given that;
- Temperature T = 21°C = (21 + 273.15)K = 294.15K
- Pressure P = 745 mmHg = (745/760)atm = 0.98026atm
- Volume of the gas V = 3.97L
- Mass of gas m = 2.58g
- Amount of gas n = ?
First, we determine the amount of gas;
PV = nRT
n = PV / RT
n = ( 0.98026atm × 3.97L ) / ( 0.08206 Latm/molK × 294.15K )
n = 3.8916Latm / (24.137949Latm/mol)
n = 0.1612mol
Molar Mass = Mass of the gas / Amount of the gas
Molar Mass = m / n
Molar Mass = 2.58g / 0.1612mol
Molar Mass = 16.00g/mol
Therefore, the molar mass of the gas with the given mass and volume at the given temperature and pressure is 16.00g/mol.
Learn more about ideal gases here: brainly.com/question/15634266
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