A 14.2 g sample of a gas has a pressure of 1.1 atm, a volume of 11.3 l, and a temperature of 300 k. what is the molar mass? report your answer in grams per mole to the nearest whole number.

Respuesta :

The molar mass of a sample of a gas that has a pressure of 1.1 atm, a volume of 11.3L and a temperature of 300K is 28.14g/mol.

How to calculate no of moles?

The number of moles of a gas can be calculated using the ideal gas law equation as follows:

PV = nRT

Where;

  • P = pressure
  • V = volume
  • n = number of moles
  • R = gas law constant
  • T = temperature

1.1 × 11.3 = n × 0.0821 × 300

12.43 = 24.63n

n = 12.43/24.63

n = 0.505moles

However, the molar mass of the gas can be calculated by dividing the mass by the no. of moles as follows:

molar mass = 14.2g ÷ 0.505mol

Molar mass = 28.14g/mol

Therefore, the molar mass of a sample of a gas that has a pressure of 1.1 atm, a volume of 11.3L and a temperature of 300K is 28.14g/mol.

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