By definition, the minimum mass of hydrogen gas required to produce 226 kJ of heat is 1.8697 grams.
The reaction is as follows:
2 H₂(g) + O₂(g) → 2 H₂O(g) ΔH = - 483.5 kJ
In this reaction, you can see that 2 moles of H₂ produces 483.5 kJ of heat. But you want to release 226 kJ of heat.
So you can apply the following rule of three: if 483.5 kJ is released by 2 moles of H₂, 226 kJ of heat is released by when moles of H₂?
[tex]amount of moles of H_{2} =\frac{226 kJx2 moles }{483.5 kJ}[/tex]
amount of moles of H₂= 0.93485 moles
Molar mass is the amount of mass that a substance contains in one mole. In this case, the molar mass of H₂ is 2 [tex]\frac{g}{mole}[/tex].
So, the mass containing 0.93485 moles is calculated as:
0.93485 moles× 2 [tex]\frac{g}{mole}[/tex]= 1.8697 grams
Finally, the minimum mass of hydrogen gas required to produce 226 kJ of heat is 1.8697 grams.
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