J.R. S. answered 04/19/20
Ph.D. University Professor with 10+ years Tutoring Experience
In your question, you didn't provide units for 2.00 and 181, so I'll assume the problem is supposed to read..
"2.00 mol of a compound is allowed to react with water in a foam coffee cup and the reaction produces 181g of solution". Assuming this is what you meant, here is the solution to the problem...
q = mC∆T
q = heat = ?
m = mass = 181 ml x 1 g/ml = 181 g (assuming a density of 1g/ml)
C = specific heat = 4.184 J/g/degree (assuming the same specific heat as water)
∆T = change in temperature = 24.70 - 21.00 = 3.70 degrees
q = (181 g)(4,184 J/g/degree)(3.70 degrees)
q = 2802 J = 2.802 kJ
To find kJ/mole as asked in the question, we simply divide this by the number of moles (2.00 moles)..
2.802 kJ/2.00 moles = 1.40 kJ/mole