We are tasked with determining the heat required to elevate the temperature of water from 85.0 ⁰F to 50.4 ⁰F.
To increase the temperature from 50.4 ⁰F to 85.0 ⁰F, a heat amount of 10.857 kJ is necessary.
The needed heat for the temperature increase can be calculated using the equation H = m×s×(t₂-t₁).
In this equation, H is the heat, s represents specific gravity at 4.184 J/g.⁰C, m is the mass of 135.0 g, t₁ (the initial temperature) is 50.4 ⁰F or 10.222 ⁰C, and t₂ (final temperature) stands at 85.0⁰F or 29.444 ⁰C.
After inputting these values, we find:
H = 135.0 g × 4.184 J/g.⁰C × (29.444 - 10.222) ⁰C
Simplifying gives us H = 10857.354 J or 10.857 kJ.
Thus, to elevate the temperature, 10857.354 J or 10.857 kJ of heat is necessary.