I thought I was getting good at these questions but I am quite stumped by this one. Using Hess' law I found that the deltaH of Mg(s) + 2 H2O(l) -> Mg(OH)2(s) + H2(g) is -638.71kJ but I don't know where to go from there. Any guidance would be greatly appreciated.
The U.S. military uses a “flameless heater” to warm pre-prepared meals for active service
personnel. The heater contains magnesium metal, which reacts with added water to form
magnesium hydroxide in a very exothermic, oxidation-reduction reaction:
Mg(s) + 2 H2O(l) -> Mg(OH)2(s) + H2(g)
The reaction generates enough heat to cook a meal enclosed in a plastic and aluminum foil pouch.
Given the following data:
Hof(H2O,l) = –285.83 kJ mol–1 (Hof being the formation)
Hof(Mg(OH)2,s) = –924.54 kJ mol–1
specific heat of water = 4.184 J g–1 °C–1 density of water = 1.00 g mL–1
how much magnesium metal is needed to supply the heat required to warm 25.0 mL of water from
25°C to 85°C?