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When 2.5000g of NaOH were dissolved in 49.0g water in a calorimeter at 24.0C, th

ID: 795866 • Letter: W

Question

When 2.5000g of NaOH were dissolved in 49.0g water in a calorimeter at 24.0C, the temperature of the solution went up to 37.1C.


a) is this dissolving process exothermic? yes or no?...... yes

b)Calculate qH2O using q= (sp x m x deltaT) .......... 2685.7096 J (2.68x10^3)

c) Calculate the mass of the solution (NaOH + H2O).......... 51.5g

d) find qrxn for the entire reaction (water and NaOH) as it occured in the calorimeter. use q rxn = q soultion = delta H reaction........ -2822.73 J or -2.82x10^3

e) find qrxn (using part d) for the dissolving of 1.00g NaOH in water.

f) find delta H rxn (using part e) for the dissolving of 1.00 mole of NaOH in water.


I only need help on e and f, but I put the rest of the question up anyway. THANK YOU!

thank you so much for your help! please show how you got your answer!!!!

Explanation / Answer

a)

Yes,because heat energy is liberated so the process is exothermic.

b)

We shall use the formula Q = mct
where m is the mass of the water
c is the specific heat capacity of water
and t is the change in temperature of the water

Q = (49)(4.18 J)(37.1 - 24.0)
= 2683.14 J

c)

Mass of solution = Mass of H20 + Mass of NaOH
                    = 49 g + 2.5 g
                    = 51.5 g
                   
d)
Q = mct
Q = (2.5 + 49)(4.18)(37.1 - 24)
= 2820.037 J (dH reaction)

e)
The dissolution of 2.5 g of NaOH produces 2820.037 J of heat energy
Therefore, the amount of heat energy produced when 1g of NaOH is dissolved
= (2820.037)/2.5
= 1128.0148 J

dH = 1128.0148 J/g

f) Relative Formula Mass(RFM) of NaOH = 40
40g = 1 mole of NaOH
2.5g = 2.5/40
     = 0.0625 moles of NaOH

The dissolution of 0.0625 moles of NaOH produces 2820.037 J of heat energy.
Therefore, the amount of heat energy produced when 1 mole of NaOH is dissolved
= (2820.037)/0.0625
= 45120.592 J

dH = 45120.592 J/mol

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