Question

determine the amount of magnesium required to produce 5.5 x 10^ 24 molecules of hydrogen gas when hydrochloric acid is reacted with unlimited magnesium

Answer 1

Answer:

magnesium

chemical symbol

Mg

5.5 x 10^ 24.

molecules

Answer 2

$Mg+ 2HCl \rightarrow MgCl_{2}+ H_{2}$

Now, from the reaction, you can see :

• 1 mole of Mg is producing 1 mole of H2.

So, 6.023 × 10²³ molecules of H2 are being produced from 1 mole of Mg.

So, mole of Mg required for 5.5 × 10²⁴ molecules of H2 is :

$= \dfrac{1}{6.023 \times {10}^{23} } \times 5.5 \times {10}^{24}$

$= 0.91 \times {10}^{1}$

$= 9.1 \: moles$

So, mass of Mg required is :

$= 9.1 \: mol \times 24 \: g/mol$

$= 218.4 \: g$

So, 218.4 gram of Mg is required.