In the given chemical equation:
\[ 2K + 2H_2O \rightarrow 2KOH + \text{some amount of } H_2 \]
On the reactant side, there are a total of 4 hydrogen atoms from the water (2 from each water molecule, and there are 2 water molecules: 2 \(\times\) 2 = 4).
In the products, we have:
- 2 potassium hydroxide (KOH) which contains 1 hydrogen atom each, contributing 2 hydrogen atoms (2 KOH \(\rightarrow\) 2 H).
- "Some amount of H" which we assume represents hydrogen gas, Hâ‚‚.
To balance the hydrogen atoms, if we have 4 hydrogen atoms on the reactant side, we need to have the same total on the product side.
From 2 KOH, we have 2 hydrogen atoms, so we need 2 more from the hydrogen gas:
- 2 from KOH + 2 from Hâ‚‚ = 4 total hydrogen atoms on the product side.
Thus, the correct answer is:
B-4