According to the equation of reaction, one part of magnesium Mg react with two parts of water H2O, hence we need twice as much water when comparing in moles.
First, compute the amount of magnesium. Molar mass of magnesium is 24.3 g/mole, hence
q_magnesium=(4100 g)/(24.3 g/mole)≈168.7 mole
Second, compute the amount of water from the equation of reaction:
q_water=2∙q_magnesium=2∙168.7 mole=337.4 mole
Then, compute the mass of water. Molar mass of water is 16+2=18 g/mole, hence
m_water=337.4 mole∙18 g/mole=6703.2 g
Answer:
The amount of water that must be used is 6,703.2 grams.
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