How can we determine ΔH for the reaction between HCl and NaOH from the experimental results if we know that the specific heat of water is 4.184 J/g-K, and that the density of water is 1.00 g/mL?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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How can we determine ΔH for the reaction between HCl and NaOH from the
experimental results if we know that the specific heat of water is 4.184 J/g-K, and that the density of water is 1.00 g/mL?

Data Table 1:
Temperature Changes for Mixtures of 1.0 M HCl and 1.0 M NAOH
Determination 1
2
3
5
7
8
9
10
11
HCI (mL)
20
18
16
14
12
10
8
6.
4
NaOH (mL)
4
8
10
12
14
16
18
20
Room Temp
23.5 23.5 23.5 23.5 23.5 23.5 23.5
23.5 23.5 23.5 23.5
Temp of mix
23.5 26
28
29
30
31
29
28
26
25
23.5
AT (°C)
2.5
4.5
5.5
6.6
7.7
5.5
4.5
2.5
1.5
6
Transcribed Image Text:Data Table 1: Temperature Changes for Mixtures of 1.0 M HCl and 1.0 M NAOH Determination 1 2 3 5 7 8 9 10 11 HCI (mL) 20 18 16 14 12 10 8 6. 4 NaOH (mL) 4 8 10 12 14 16 18 20 Room Temp 23.5 23.5 23.5 23.5 23.5 23.5 23.5 23.5 23.5 23.5 23.5 Temp of mix 23.5 26 28 29 30 31 29 28 26 25 23.5 AT (°C) 2.5 4.5 5.5 6.6 7.7 5.5 4.5 2.5 1.5 6
Expert Solution
Step 1 Analysis

Given: Experimental data 

Specific heat of water= 4.184 J/g-K

Molarity Of HCl= 1M

Molarity of NaOH= 1 M 

Density of water = 1g/ml

To find: ∆H of the Reaction

Solution: According to the formula we can say that 

Q=mc∆T

Where Q is amount of heat or ∆H of Reaction in above case. 

m is mass

C is specific heat. 

∆T is the temperature . 

Number of moles can be defined as the ratio of given mass to that of the molar mass. Number of moles can be calculated by using the formula as shown below: 

n=m/M 

Where n is no. Of moles 

m is given mass 

M is molar mass. Molar mass is the sum of atomic masses of each element present in that compound. 

When HCl is reacted with NaOH , the product formed are NaCl and H2O. NaCl is the main product and H2O is the by product. So the NaCl will depend on the reactant which is in less amount and water will depend upon the excess reagent .

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