A student carefully measures out 200.0 mL of an aqueous solution of 1.0 M HCl in
ID: 790314 • Letter: A
Question
A student carefully measures out 200.0 mL of an aqueous solution of 1.0 M HCl in a coffee cup calorimeter. She then carefully adds 200.0 mL of 1.0 M NaOH to the calorimeter. The initial temperature for both solutions is 20.0 A student carefully measures out 200.0 mL of an aqueous solution of 1.0 M HCl in a coffee cup calorimeter. She then carefully adds 200.0 mL of 1.0 M NaOH to the calorimeter. The initial temperature for both solutions is 20.0 A student carefully measures out 200.0 mL of an aqueous solution of 1.0 M HCl in a coffee cup calorimeter. She then carefully adds 200.0 mL of 1.0 M NaOH to the calorimeter. The initial temperature for both solutions is 20.0Explanation / Answer
You need to calculate how many moles of HCl is neutralizing
moles of HCl = 1 * 200/1000 = 0.2 mol
As
HCl(aq)+ NaOH(aq) ?NaCl(aq)+H2O(l) ?H = -55.0 kJ/mol
Therefore heat relased for 0.2 mole HCl neutralization = 0.2 mol * 55 kJ/mol
11 kJ = 11 * 1000 J = 11000 J (Note heat is absorbed by the water so I have kept it positive, with respect to water)
volume of solution = (200 + 200) mL = 400 mL
as density of solution = density of water = 1 g/mL
therefore mass of solution = 400 ml * 1 g/mL = 400 g
heat capacity of solution = heat capacity of water = 4.184 J / g C
T-final -T-initial = heat absorbed / (mass of solution * heat capacity of solution)
T-final - 20 C = 11000 / (400 * 4.184)
T- final - 20 C = 6.6 C
T-final = 20 C + 6.6 C = 26.6 C
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