Question

If 3.289 x 10^23 atoms of potassium react with excess water, how many grams of hydrogen gas would be produced?

2 k + 2H2O —> 2 KOH + H2

Answer 1

The amount in grams of hydrogen gas produced is 0.551 grams

Step-by-step explanation:

The parameters given are;

Number of atoms of potassium, aₙ = 3.289 × 10²³ atoms

Chemical equation for the reaction is given as follows;

2K + 2H₂O
`\rightarrow` KOH + H₂

Avogadro's number,
`N_A`, regarding the number of molecules or atom per mole is given s follows;

`N_A` = 6.02 × 10²³ atoms/mole

Therefore;

The number of moles of potassium present = 3.289 × 10²³/(6.02 × 10²³) = 0.546 moles

2 moles of potassium produces one mole of hydrogen gas, therefore;

1 moles of potassium produces 1/2 mole of hydrogen gas, and 0.546 moles of potassium will produce 0.546/2 moles of hydrogen which is 0.273 moles of hydrogen gas

The molar mass of hydrogen gas = 2.016 grams

Therefore, 0.273 moles will have a mass of 0.273×2.016 = 0.551 grams.

The amount in grams of hydrogen gas produced = 0.551 grams.