Calculate the amount of heat required to raise the temperature of a 65-g sample of water from 32 ∘C to 65 ∘C. (The specific heat capacity of water is 4.184 J / (g⋅∘C).

The amount of heat required is 9.0 kJ.

q = mCΔT

ΔT = T_f - T_i = 65 °C - 32 °C = 33 °C

q = 65 g * 4.184 J·°C⁻¹g⁻¹ * 33 °C = 9000 J = 9.0 kJ

8974.68 J.

Explanation:

The amount of heat required to raise the temperature of water sample can be calculated using the formula:

Q = m. C.ΔT, where,

Q is the amount of heat required to raise the temperature of water sample,

m is the mass of water sample (m = 65.0 g),

C is the specific heat of water (C = 4.184 J/g.°C),

ΔT is the temperature difference (the final temperature - the initial temperature (ΔT = 65.0 - 32.0 = 33.0 °C).

∴ The amount of heat required to raise the temperature of water sample Q = m. C.ΔT = (65.0 g) (4.184 J/g.°C) (33.0 °C) = 8974.68 J.