Question #205193

A certain volume of gas is found to weigh 4.4g, an equal volume of hydrogen gas weighs 0.2g. The molar mass of the gas is

Expert's answer

The volume of the gases is equal, thus number of moles as well:

"V_x = V_{H_2} \\\\\nn_x \\times V_m = n_{H_2} \\times V_{H_2}\\\\\nn_x = n_{H_2}\\\\"

Let's find the number of moles for the hydrogen gas

"n_{H_2} = \\frac{m_{H_2}}{M_{H_2}} = \\frac{0.2 g}{2 g\/mol}=0.1 mol\\\\"

Then, using the values of the n for the hydrogen, the molar mass of a gas can be derived:

"M_x=\\frac{m_x}{n_{H_2}} = \\frac{4.4 g}{0.1 mol}= 44 g\/mol"

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