Answer:
-11.4 kJ of heat are released
Explanation:
Balanced reaction- [tex]HCl+NaOH\rightarrow NaCl+H_{2}O[/tex]
According to balanced equation, 1 mol of HCl is neutralized by 1 mol of NaOH.
So, 200 mL of 1 M HCl will be completely neutralized by 200 mL of 1 M NaOH.
Let's assume both HCl and NaOH solutions have densities equal to density of pure water.
We know, density = (mass)/(volume)
Density of pure water = 1 g/mL
So mass of both solutions = [tex](200\times 1)g[/tex] = 200 g
So, mass of mixture = (200+200) g = 400 g
Hence, Amount of heat released = [tex](m_{mixture}\times C_{mixture}\times \Delta T_{mixture})[/tex]
Where, m represents mass, C represents heat capacity and [tex]\Delta T[/tex] represents change in temperature
Let's assume that heat capacity of mixture is also equal to heat capacity of water.
Heat capacity of water = 4.186 J/(g.[tex]^{0}\textrm{C}[/tex])
So, amount of heat released = [tex][400g\times 4.186J.g^{-1}.^{0}\textrm{C}^{-1}\times(27.8-21.0)^{0}\textrm{C} ][/tex] = [tex]1.14\times 10^{4}[/tex]J=11.4 kJ
As acid-base neutralization reactions are exothermic therefore-
Heat released = -11.4 kJ