When 500mL 0.2M H2SO4 completely reacts with sufficient LiOH dissolved in 400mL solution. The mostly water mixture increases in temperature by 3.0ºC. Calculate the heat given off when one mole H2SO4 reacts.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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When 500mL 0.2M H2SO4 completely reacts with sufficient LiOH dissolved in 400mL solution.  The mostly water mixture increases in temperature by 3.0ºC.  Calculate the heat given off when one mole H2SO4 reacts.  

Expert Solution
Step 1 Heat given off by reaction

Volume Of LiOH solution = 400 ml

Volume Of H2SO4 solution = 500 ml

Total Volume of Solution= 400+500

                                       = 900 ml

temperature change of water = T = 3°C

Density of water = 1g/ml

Mass Of water = 900 ml * 1 g/ml

                        = 900 g

Heat capacity of water = 4.18J/g °C

Heat given off by the reaction = q = mcT

                                                       = 900 g * 4.18 J/g °C * 3°C

                                                      = 11286 J

 

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