Problem 1 of 13 · warm-up
H2 + Cl2 → HCl
Hint 1 · the clue
Count the start: left has 2 H and 2 Cl; right has 1 H and 1 Cl.
Hint 2 · the next move
An unbalanced equation: H and Cl are each short on the right, so a coefficient goes before HCl.
Your path:
- Count each element on both sides
- Add coefficients to fix uneven elements
- Recount until every element matches
Answer
Answer: H2 + Cl2 → 2HCl
That’s right: H: 2 = 2; Cl: 2 = 2.
Full worked solution
What you know: H2 + Cl2 → HCl. Left: 2 H, 2 Cl. Right: 1 H, 1 Cl. What you want: The smallest whole-number coefficients that make every count equal.
- Both elements are short on the right by the same amount. Each HCl holds only 1 H and 1 Cl.
- Put 2 before HCl. Now the right has 2 × 1 = 2 H and 2 × 1 = 2 Cl.
- Recount the left: H2 gives 2 H, Cl2 gives 2 Cl. Everything matches: H2 + Cl2 → 2HCl.
Check: H: 2 = 2. Cl: 2 = 2. The coefficients 1, 1, 2 cannot be reduced further.
Watch out: Do not write H2Cl2 or HCl2. Changing a subscript makes a different substance. Change coefficients only.
- Count the start: left has 2 H and 2 Cl; right has 1 H and 1 Cl.
- Put 2 before HCl. This multiplies both H and Cl by 2.
- Check: both sides now have 2 H and 2 Cl. The coefficients 1, 1, 2 cannot be reduced.
Answer: H2 + Cl2 → 2HCl
H: 2 = 2; Cl: 2 = 2.