Answer:
Energy required = 3169.34 Joules.
Explanation:
The quantity of energy (Q) required can be determined by;
Q = mcΔθ
Where: m is the mass, c is the specific heat and Δθ is the change in temperature.
But, m = 96.7 kg, c = 0.874 J/(kg[tex]^{o} C[/tex]), [tex]T_{2}[/tex] = [tex]69.2^{o}[/tex] and [tex]T_{1}[/tex] = [tex]31.7^{o}[/tex].
So that,
Q = mc([tex]T_{2}[/tex] - [tex]T_{1}[/tex])
= 96.7 x 0.874 x ([tex]69.2^{o}[/tex] - [tex]31.7^{o}[/tex])
= 96.7 x 0.874 x 37.5
= 3169.3425
Q = 3169.34
= 3.2 KJ
The amount of energy required is 3169.34 Joules.