Final answer:
The final temperature of the water after it has absorbed 950.0 J of heat is 24.75°C.
Step-by-step explanation:
To find the final temperature of 410.1 g of water after absorbing 950.0 J of heat, we employ the heat capacity formula:
q = m × c × ΔT
where q is the heat energy absorbed, m is the mass of the water, c is the specific heat capacity, and ΔT is the change in temperature.
Rearranging for ΔT:
ΔT = q / (m × c)
By substituting the given values:
ΔT = 950.0 J / (410.1 g × 4.184 J/g°C)
ΔT = 950.0 J / 1716.9784 J°C
ΔT = 0.55°C
Now, add the temperature change to the initial temperature to find the final temperature:
Final Temperature = Initial Temperature + ΔT
Final Temperature = 24.20°C + 0.55°C
Final Temperature = 24.75°C
The final temperature of the water after absorbing 950.0 J of heat is 24.75°C.