Zinc replaces Hydrogen in hydrochloric acid. Write the equation and identify how many grams of this acid is required to produce 10^24 atoms of hydrogen.

The reaction between zinc (Zn) and hydrochloric acid (HCl) can be represented by the following equation:

Zn + 2HCl → ZnCl2 + H2

This equation shows that one molecule of zinc reacts with two molecules of hydrochloric acid to produce one molecule of zinc chloride and one molecule of hydrogen gas.

To find out how many grams of hydrochloric acid are required to produce a specific amount of hydrogen atoms, we need to consider the molar ratio between zinc and hydrochloric acid. Let's break down the steps to solve this problem:

Step 1: Determine the number of hydrogen atoms in 10^24 hydrogen molecules:
Since there are two hydrogen atoms in one hydrogen molecule (H2), the number of hydrogen atoms is twice the number of hydrogen molecules. Therefore, the number of hydrogen atoms is 2 × 10^24.

Step 2: Convert the number of hydrogen atoms to moles:
To convert the number of hydrogen atoms to moles, we divide by Avogadro's number (6.022 × 10^23 atoms per mole). Hence, the number of moles of hydrogen is (2 × 10^24) / (6.022 × 10^23) = approximately 3.32 moles.

Step 3: Determine the molar ratio between hydrogen and hydrochloric acid:
From the balanced equation, we can see that for every 2 moles of hydrochloric acid, we get 1 mole of hydrogen. Thus, the molar ratio is 2:1.

Step 4: Calculate the moles of hydrochloric acid required:
Since the molar ratio is 2:1, the moles of hydrochloric acid required would be half that of the moles of hydrogen. Therefore, the moles of hydrochloric acid required are 3.32 / 2 = 1.66 moles.

Step 5: Convert moles of hydrochloric acid to grams:
Now, we need to convert the moles of hydrochloric acid to grams. The molar mass of hydrochloric acid (HCl) is 36.46 g/mol. To calculate the grams, we multiply the moles by the molar mass: 1.66 moles × 36.46 g/mol = approximately 60.446 g.

Therefore, approximately 60.446 grams of hydrochloric acid are required to produce 10^24 hydrogen atoms.