Respuesta :
C = 4.18
delta T = 24.25 - 23.16 = 1.09
mol = 0.070L * 0.185M = 0.01295
m = d*v = 1.00*(0.070+0.070) = 0.14g
So, delta H = q/mol HCl = [mC(deltaT)]/mol HCl = (0.14*4.18*1.09)/(0.01295) = 49.3 kJ
Answer: The enthalpy change of the reaction is 49305.02 J/mol
Explanation:
To calculate mass of a substance, we use the equation:
[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]
We are given:
Density of solution = 1.00 g/mL
Volume of solution = (70.0 + 70.0) mL = 140.0 mL
Putting values in above equation, we get:
[tex]1g/mL=\frac{\text{Mass of solution}}{140.0mL}\\\\\text{Mass of solution}=(1g/mL\times 140.0mL)=140.0g[/tex]
- To calculate the heat absorbed, we use the equation:
[tex]q=mc\Delta T[/tex]
where,
q = heat absorbed
m = mass of solution = 140.0 g
c = specific heat capacity of water = 4.184 J/g.°C
[tex]\Delta T[/tex] = change in temperature = [tex][24.25-23.16]^oC=1.09^oC[/tex]
Putting values in above equation, we get:
[tex]q=140.0g\times 4.184J/g.^oC\times 1.09^oC\\\\q=638.5J[/tex]
- To calculate the number of moles for given molarity, we use the equation:
[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}\times 1000}{\text{Volume of solution (in mL)}}[/tex]
Molarity of HCl solution = 0.185 M
Volume of solution = 70.0 mL
Putting values in above equation, we get:
[tex]0.185=\frac{\text{Moles of HCl}\times 1000}{70.0}\\\\\text{Moles of HCl}=\frac{0.185\times 70.0}{1000}=0.01295mol[/tex]
- To calculate the enthalpy change of the reaction, we use the equation:
[tex]\Delta H_{rxn}=\frac{q}{n}[/tex]
where,
[tex]q[/tex] = amount of heat absorbed = 638.5 J
n = number of moles = 0.01295 moles
[tex]\Delta H_{rxn}[/tex] = enthalpy change of the reaction
Putting values in above equation, we get:
[tex]\Delta H_{rxn}=\frac{638.5J}{0.01295mol}=49305.02J/mol[/tex]
Hence, the enthalpy change of the reaction is 49305.02 J/mol