Respuesta :
The amount of energy required is 17 kJ.
The formula for the heat (q) is
q = mCΔT
m = 65 g; C = 4.184 J·°C⁻¹g⁻¹; ΔT = T_f – T_i = 76 °C – 12 °C = 64 °C
q = 65 g × 4.184 J·°C⁻¹g⁻¹ × 64 °C = 17 000 J = 17 kJ
Answer
The answer will be 17000 joules
Explanation
With knowledge of the specific heat capacity of a substance, its mass and the temperature change, we can get heat at this temperature change using:
[tex]ΔH= m * C * ΔT[/tex]
[tex]Δ[/tex] = Δ
where
ΔH = Change in enthalpy (J)
m = Mass of substance, being heated (g) i.e. water in this question
C = Specific heat capacity (J/g° C)
ΔT= change in temperature (°C)
We know
The mass of water = 65g
ΔT = 76°C − 12°C = 64°C
The specific heat capacity of water is 4.18J/g °C
So,
[tex]ΔH = 65g * 4.18Jg^{o}C * 64^{o}C[/tex]
ΔH = 17388.8J
ΔH = 17000J (2 significant figures)
17000J will required to heat water