which one of the following reactions represents the balanced chemical equation for the formation of water from hydrogen gas and oxygen gas?

a. 2H(g) + O(g) a H2O(I)
b. H2(g) +o(g) a H2O(I)
c. 2 H2(g) + O2(g) a 2 H2O(I)
d. 2 H(g) + 1/2 O2(g) a H2O(I)

See above.

To find the balanced chemical equation for the formation of water from hydrogen gas (H2) and oxygen gas (O2), we need to balance the number of atoms on both sides of the reaction.

A balanced chemical equation has the same number of atoms of each element on both sides of the arrow. In this case, we need to have two hydrogen atoms (H) and one oxygen atom (O) on both sides.

Let's evaluate each option:

a. 2H(g) + O(g) → H2O(I)
In this option, there are 2 hydrogen atoms on the left side, but only 1 hydrogen atom on the right side. So this equation is not balanced.

b. H2(g) + O(g) → H2O(I)
In this option, there are 2 hydrogen atoms on the left side, but again only 1 hydrogen atom on the right side. So this equation is not balanced either.

c. 2H2(g) + O2(g) → 2H2O(I)
In this option, there are 4 hydrogen atoms on the left side and 2 hydrogen atoms on the right side, making it balanced. There is also 2 oxygen atoms on each side, which is also balanced. Therefore, this equation is balanced.

d. 2H(g) + 1/2 O2(g) → H2O(I)
In this option, there are 2 hydrogen atoms on the left side, but only 1 oxygen atom on the right side. So this equation is not balanced.

Hence, the correct balanced chemical equation for the formation of water from hydrogen gas and oxygen gas is:
c. 2H2(g) + O2(g) → 2H2O(I)