Answer:
4.52g
Explanation:
Firstly, to solve this problem, we need to write a balanced chemical reaction equation for sodium reacting with water
2Na+2H2O→2NaOH+H2
It can be seen that moles of sodium reacted with 2 moles of water to give 2 moles of sodium hydroxide and one mole of hydrogen gas. In this question, we are concerned with the sodium and hydrogen. Primarily, we can see that two moles of sodium yielded one mole of hydrogen gas. This means that the mole ratio of the sodium to the hydrogen is 2 to 1 or 2:1
This means we will require two moles of sodium for any one mole of hydrogen to be produced.
Hence, 4.52 moles of sodium means we will produce 4.52/2 moles of hydrogen which equals 2.26 moles.
Now we know that 2.26 moles of hydrogen is yielded. What we need do now is to get the mass of hydrogen gas produced. The mass produced is simply the number of moles of hydrogen multiplied by the molecular mass of the hydrogen gas. The molar mass of hydrogen gas is 1 + 1 which equals 2g/mol
Hence the mass of hydrogen gas produced is 2.26 * 2 = 4.52g
