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What is the volume of 4.92 grams of hydrogen gas at STP? (Show the work using dimensional analysis)​

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The volume of 4.92 grams of hydrogen gas at STP is 55 L.

Step-by-step explanation:

1 mole of an ideal gas will occupy 22.4 L

To find volume, the molar volume of a gas is

22.4 L / 1 mole H 2 → this takes you from moles of H 2 to liters

Now, to find the number of moles present in 4.92 g of hydrogen gas, you can use the gas' molar mass

4.92 g
* 1 mole H 2 / 2.016 g = 2.44 moles H 2

This sample of hydrogen gas will thus occupy

2.44 moles H 2
* 22.4 L / 1 mole H 2 = 54.6 L = 55 L.

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