Problem: What is the molar mass of a gas if 0.0494 g of the gas occupies a volume of 0.100 L at a temperature 26 °C and a pressure of 307 torr?

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FREE Expert Solution

The molar mass of a gas can be determined using the ideal gas equation. We have the pressure, volume, mass and temperature of the gas.


We know that: molar mass = g/mol. Since, we already have the mass of gas, we only need to calculate the number of moles to find its molar mass. We will use the ideal gas equation to calculate the number of moles.


Recall that the ideal gas equation is:


<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mi>V</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mi>n</mi><mi>R</mi><mi>T</mi></math>


  • We will first find the number of moles of gas
  • Then, we will calculate the molar mass using the given mass and number of moles.


Let’s first calculate the number of moles.


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Problem Details

What is the molar mass of a gas if 0.0494 g of the gas occupies a volume of 0.100 L at a temperature 26 °C and a pressure of 307 torr?