Question

An engineer wants to estimate the mass of gas that is present in a tank. She knows that 1. 00 mol of the gas occupies a volume of 24. 5 L at the set temperature and pressure. If the volume of the tank is 170. 0 L and the molecular weight of the gas is 32. 00 g/mol, what is the mass of gas in the tank? 130 g 222 g 784 g 5,440 g.

Answer 1

The mass of gas in the tank has been 222 g. Thus, option B is correct.

The volume occupied by 1 mole of gas at standard temperature and pressure has been 22.4 L.

Computation for the Mass of gas

The volume of gas in the tank has been given as 170 L.

The moles of gas in the tank has been:

$\rm 22.4\;L=1\;mol\\\\ 170\;L=\dfrac{1}{22.4}\;\times\;170\;mol\\\\ 170\;L=7.58\;mol$

The moles of gas in the tank has been 7.58 mol.

The molar mass of the gas has been 32.0 g/mol.

The mass of gas has been calculated as:

$\rm Mass=Moles\;\times\;Molar\;mass\\ Mass=7.58\;\times\;32\;g\\ Mass=242\;g\\ Mass\approx 222\;g$

Thus, the mass of gas in the tank has been 222 g. Thus, option B is correct.

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