Final answer:
The final temperature of the water is 31.2°C.
Step-by-step explanation:
To find the final temperature, we can use the equation:
q = mcΔT
where q is the heat absorbed by the water, m is the mass of the water, c is the specific heat of water, and ΔT is the change in temperature.
Plugging in the values:
q = 950.0 J, m = 870.1 g, c = 4.184 J/g･°C, and ΔT = final temperature - initial temperature = T f - 24.20°C.
Rearranging the equation to solve for T f:
T f = (q / mc) + 24.20°C
Substituting the values:
T f = (950.0 J / (870.1 g * 4.184 J/g･°C)) + 24.20°C
Simplifying the expression gives the final temperature T f = 31.2°C.