Question

If 1 mole = 6.022 x 10²³ particles and 1 mole= molar mass, then how many particles are in 2.016 grams of Hydrogen?

Answer 1

Q278945

1 mole = 6.022 x 10²³ particles and 1 mole= molar mass, then how many particles are in 2.016 grams of Hydrogen?

Solution :

Step 1: To find the moles of H in 2.016 grams.

Since Hydrogen is a single atom, so the molar mass of H = atomic mass of H

atomic mass of H = 1.00794 g/mol

1 mol of H = 1.00794 g of H

Using this find the moles of H in 2.016 grams of hydrogen.

$$moles \ of \ H = 2.016 \ g \ of \ H * \frac{1\ mol \ of \ H }{1.00794 \ g \ of \ H} = 2.000 \ mol \ of \ H$$

Step 2: To find the number of particles of H in 2.000 mol.

1 mole = 6.022 x 10²³ particles

$$number \ of \ particles \ of \ H = 2.000 \ mol \ H * \frac{6.022 \ * \ 10^{23} \ particles}{1.00 \ mol \ H }$$

$$= 1.2045 \ * \ 10 ^{24} \ particles$$

In the correct significant figure, the answer is 1.204 * 10 ²⁴ particles.

So there are 1.204 * 10 ²⁴ particles of H in 2.016 grams.