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Chemistry enthalphy change question

In a past paper this is the question:

In a different experiment 50.0 cm3 of 0.500 mol dm–3 aqueous hydrochloric acid are
reacted with 50.0 cm3 of 0.500 mol dm–3 aqueous sodium hydroxide.
NaOH(aq) + HCl(aq) NaCl(aq) + H2O(l) ΔH = –57.1 kJ mol–1
The initial temperature of each solution is 18.5 °C
Calculate the maximum final temperature of the reaction mixture.
Assume that the specific heat capacity of the reaction mixture, c = 4.18 J K–1 g–1
Assume that the density of the reaction mixture = 1.00 g cm–3

The markscheme has this as the answer:

n(HCl) or n(NaOH) = 50 x 0.500 / 1000 = 0.025 moles
q = –ΔH x n = 57.1 x 0.025 = 1.4275 kJ
ΔT = q/mc
ΔT = (1.4275 x 1000) / (100 x 4.18) = 3.4(2) °C
Final Temperature = 18.5 + 3.4 = 21.9 °C

Which I get up until
ΔT = (1.4275 x 1000) / (100 x 4.18) = 3.4(2) °C
... why do they times by 1000? Does the volume need to be in dm^3 or something?
q = 1.4275 is in kilojoules
for the ΔT = q/mc you want q to be in J
Original post by bl0bf1sh
q = 1.4275 is in kilojoules
for the ΔT = q/mc you want q to be in J


wow I feel dumb, I guess the exam stress is getting to me

thank you and sorry you had to witness that
Original post by KookieCrumble
wow I feel dumb, I guess the exam stress is getting to me

thank you and sorry you had to witness that

no worries, it happens to everyone!
good luck in your exams :smile:
Reply 4
why do we use the mole of only one substance and not both?
Original post by bl0bf1sh
q = 1.4275 is in kilojoules
for the ΔT = q/mc you want q to be in J

Why did they multiply 4.18 by 100
Reply 7
Original post by Mathswarrior
Why did they multiply 4.18 by 100

ΔT = q ÷ mc = (1.4275 x 1000) ÷ (100 x 4.18)
4.18 J K–1 g–1 is the specific heat capacity (c) of the reaction mixture
100 g is the mass (m) of the mixture (they are aqueous solutions. The mass of 1 cm3 of water is 1 g, so assume that 50 cm3 + 50 cm3 (the two solutions) is about 100 g) :smile:
Original post by bl0bf1sh
ΔT = q ÷ mc = (1.4275 x 1000) ÷ (100 x 4.18)
4.18 J K–1 g–1 is the specific heat capacity (c) of the reaction mixture
100 g is the mass (m) of the mixture (they are aqueous solutions. The mass of 1 cm3 of water is 1 g, so assume that 50 cm3 + 50 cm3 (the two solutions) is about 100 g) :smile:

Ohh, thanks so much. I got confused but it's good now.
Reply 9
why is q= negative of delta H ????????????
Reply 10
Original post by Ajsjdhdhdh
why is q= negative of delta H ????????????


It's just showing that it's an exothermic reaction but when you use the delta H value in your calculation you don't use the negative
Reply 11
Original post by bl0bf1sh
q = 1.4275 is in kilojoules
for the ΔT = q/mc you want q to be in J

why are we multiplying 4.18 by 100 then?
Reply 12
Original post by mahii786
why are we multiplying 4.18 by 100 then?

100 g is the mass, which you multiply by the specific heat capacity

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