What is the specific heat of a substance from which a metal part weighing 900 g is made, if, being heated to 155

What is the specific heat of a substance from which a metal part weighing 900 g is made, if, being heated to 155 degrees and lowered into a vessel with 3 kg of water at a temperature of 10 degrees, it caused the temperature in the vessel to rise to 15 degrees?

When cooling a metal part with a mass of m₁ = 900 g = 0.9 kg and a heat capacity c₁, from a temperature t₁ = 155 ° C to a temperature tо = 10 ° C, the released heat was used to heat water with a mass of m₂ = 3 kg and a heat capacity c₂ = 4200 J / (kg ∙ deg), from the temperature tо = 10 ° С to the temperature t₂ = 15 ° С, since the conditions of the problem are known that a heated part, lowered into water, caused an increase in the temperature in the vessel up to 15 degrees. In this case, the part gave off the amount of heat Q₁ = m₁ ∙ c₁ ∙ (to – t₁), and the water received the amount of heat Q₂ = m₂ ∙ c₂ ∙ (t₂ – to). From the heat balance equation:

Q₁ + Q₂ = 0 or

m₁ ∙ c₁ ∙ (to – t₁) = m₂ ∙ c₂ ∙ (t₂ – to), we find

c₁ ≈ 483 J / (kg ∙ deg).

Answer: the specific heat capacity of the substance from which the metal part is made is ≈ 483 J / (kg ∙ deg).