PLEASE SHOW STEPS!

You heat a 0.45 kg sample of metal to a temperature of
80 °C then quickly transfer it into a beaker that contains 0.70 kg of water at 15 °C; the specific heat capacity of water is 4 200 J/kg·°C. The highest temperature of the sample plus the water is 21 °C. What is the heat capacity of the sample of metal?

The heat capacity of the sample of metal is 664j/kg.°C

Explanation:

Kindly find attached a detailed solution to this question for you reference.

Given data

Mass of sample m1= 0.45kg

Temperature of sample θs= 80°c

Mass of water mw = 0.7kg

Temperature of water θw= 15°C

Specific heat capacity of water Cw=

4200j/kg.°C

Equilibrium Temperature θ3= 21°C

HEAT LOSS BY SUBSTANCE =HEAT GAINED BY WATER

What is Quantity of heat?

Quantity of heat is the amount of heat absorbed or given out by a body Q=mcθ

What is the heat capacity?

Heat capacity is the amount of heat required to raise the temperature of a substance by 1k.The S.I unit is joule per Kelvin J/k

What is specific heat capacity?

The specific heat capacity is the amount of heat required to raise the temperature of 1kg of substance by 1k