Answer: The amount of hydrogen gas consumed is 3800 moles
Explanation:
We are given:
America's daily energy share = [tex]260,000kCal=2.6\times 10^{8}Cal[/tex] (Conversion factor: 1 kCal = 1000 Cal)
Converting this into Joules, we use the conversion factor:
1 Cal = 4.184 J
So, [tex]2.6\tims 10^8Cal=(2.6\tims 10^8\times 4.184)J=1.088\times 10^9J=1.088\times 10^6kJ[/tex]
For the given chemical equation:
[tex]H_2(g)+\frac{1}{2}O_2(g)\rightarrow H_2O(l)+286kJ[/tex]
By Stoichiometry of the reaction:
286 kJ of energy is released, when 1 mole of hydrogen is consumed
So, [tex]1.088\times 10^6kJ[/tex] of energy will be released when [tex]\frac{1}{286}\times 1.088\times 10^6=3800mol[/tex] of hydrogen gas is consumed
Hence, the amount of hydrogen gas consumed is 3800 moles
