Answer:
The relationship between initial temperature and final temperature is 2.
Step-by-step explanation:
The reaction of:
HCl + NaOH → H₂O + NaCl + ΔH
Produce heat (ΔH). This heat is evidenced in the increasing of temperature in the system.
If you add 100 mL of 0,50M of both NaOH and HCl you will produce heat, that increase the temperature of the system in X°C.
Now, the addition of 200mL of 0,50M of both NaOH and HCl will produce twice the initial heat increasing the temperature of the system in 2X°C.
That means the relationship between initial temperature and final temperature is 2.
I hope it helps!