What is the minimum mass of the sulfuric acid H₂SO₄ that we need to mix with 200ml of pure water to bring the mixture to the boiling point, which is 98°C in the laboratory? The initial temperature of both liquids is 25°C. When mixed 70.5kJ of heat is released per mole of sulfuric acid added.
Assume a specific heat capacity of the resulting solution of 0.75cal⋅g−1⋅°C−1 independent of external conditions, and with molar masses of hydrogen 1.01g⋅mol−1, oxygen 16.00g⋅mol−1 and sulfur 32.07g⋅mol−1. Assume that the reaction happens quickly and under standard conditions. Neglect the heat capacity of the container and any heat losses. Next consider a simplified case, where the amount of heat released per mole of added acid remains constant until the mole ratio of acid to water exceeds 0.1. At that point, the amount of heat produced by adding more acid will decrease significantly, and therefore assume that in this case, the mixture will not reach the boiling point. If this occurs, give the result as 0g.