Answer: 3026.5 J
Explanation:
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 L)}}[/tex] .....(1)
Molarity of [tex]HCl[/tex] solution = 2.112 M
Volume of solution = 25.00 mL
Putting values in equation 1, we get:
a) [tex]2.112M=\frac{\text{Moles of}HCl\times 1000}{25.00ml}\\\\\text{Moles of }HCl=\frac{2.112mol/L\times 25.00}{1000}=0.05280mol[/tex]
The balanced chemical reaction is:
[tex]HCl+NaOH\rightarrow NaCl+H_2O[/tex]
As [tex]HCl[/tex] is the limiting reagent , it limits the formation of product. [tex]NaOH[/tex] is the excess reagent.
1 mole of HCl produces = 1 mole of [tex]H_2O[/tex]
0.05280 mole of HCl produces = [tex]\frac{1}{1}\times 0.05280=0.05280[/tex] moles of [tex]H_2O[/tex]
Given :
Energy released when 1 mole of [tex]H_2O[/tex] is produced = 57320 J
Thus Energy released when 0.05280 moles of [tex]H_2O[/tex] is produced = [tex]\frac{57320J}{1}\times 0.05280=3026.5J[/tex]
Thus 3026.5 J is the total theoretical heat released