a sample of an unknown gas has a mass of 0.582g. it's volume is 21.3 mL a a temp of 100 degrees Celsius and a pressure of 754 mmHg. determine the molar mass

Molar mass = 0.09 * 10⁴ g/mol

Explanation:

Given dа ta:

Mass = 0.582 g

Volume = 21.3 mL

Temperature = 100°C

Pressure = 754 mmHg

Molar mass = ?

Solution:

(21.3 / 1000 = 0.0213 L)

(100+273 = 373 K)

(754/760 = 0.99 atm)

PV = nRT

n = PV/RT

n = 0.99 atm * 0.0213 L / 0.0821 atm. L. mol⁻¹. k⁻¹ * 373 K

n = 0.02 mol / 30.6

n = 6.5 * 10⁻⁴ mol

Molar mass = Mass / number of moles

Molar mass = 0.582 g / 6.5 * 10⁻⁴ mol

Molar mass = 0.09 * 10⁴ g/mol