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Care must be taken when diluting sulfuric acid with water, because the dilution

ID: 900355 • Letter: C

Question

Care must be taken when diluting sulfuric acid with water, because the dilution process is highly exothermic: H2SO4(l) "arrow" H2SO4(aq) + heat a) Find the Ho for diluting 1.00 mol of H2SO4(l) (d = 1.83 g/mL) to 1 L of 1.00 M H2SO4(aq) (d = 1.060 g/mL). Suppose you carry out the dilution in a calorimeter. The initial T is 28.8C, and the specific heat capacity of the final solution is 3.50 J/g·K. What is the final T? the first part is -93.52. ( that was marked correct). ..I don't know what the temp is though.. .It said hint: what formula should be used to find the standard enthalpy of a reaction?..it is NOT 377.32 degrees!!!! I NEED FINAL Temperature....

Explanation / Answer

Solution :-

Volume of the final solution = 1 L = 1000 ml

Mass of the final solution = 1000 ml * 1.060 g /ml = 1060 g

Initial temperature = 28.8 C

Final temperature = ?

Delta H dissolution of 1 mol H2SO4 = -93.52 kH * 1000 J / 1 kJ = 93520 J

Specific heat of final solution = 3.50 J /gC

Formula

q= m*s*delta T

93520 J = 1060 g * 3.50 J per g C * delta T

93520 J / 1060 g * 3.50 J per g C = delta T

25.2 C = delta T

Therefore the final temperature = T initial + delta T

                                                           = 28.8 C + 25.2 C

                                                          = 54.0 C

So the final temperature is 54 C