Verified answer

Use the following equation.

Q = mass * specific heat * (Tf – Ti)

The first step is to convert the heat energy from kJ to J by multiplying by 1000.

Q = 130,000 J

Tf – Ti = 37.2˚ – 18˚ = 19.2˚

130,000 = 7.6 * x * 19.2

x= 130,000 ÷ 145.92

The specific heat is approximately 891 J/(kg * ˚C). I hope this is helpful for you.

Specific heat formula

Q = cm∆T

Q = heat energy J

m = mass of substance

c = specific heat J/kg

∆T = change in temperature

130J = 130000J

4.1 kg = 4100 g

130000 x 4100 x specific heat (c) x T

T = 372 - 18 = 19.2

130000 = 4100 x c x 19.2

130000 = 78720 x c

Specific heat = 1.6514

(130 kJ) / (7.6 kg) / (37.2 - 18.0)∘C = 0.89 kJ/kg·°C = 0.89 J/g·°C