Complete question:
a cube of iron was heated to 70C and transferred to a beaker containing 100g of water at 20c the final temperature of the water and the iron was 23c what are the heat capacity of iron and water ?
Answer:
The heat capacity of iron which is equal to heat capacity of water is 1254 J.
Explanation:
Given;
initial temperature of the iron, t₁ = 70 °C
mass of water, m₂ = 100 g
initial temperature of water, t₂ = 20 °C
final temperature of the mixture, t = 23 °C
The heat lost by iron = heat gained by water
Thus, the heat capacity of iron = heat capacity of water
Heat gained by water is given by;
Q = mcΔθ
Q = mc(t - t₂)
where;
c is the specific heat capacity of water = 4.18 J/g°C
Q = (100 )(4.18)(23 - 20)
Q = 1254 J
Therefore, the heat capacity of iron which is equal to heat capacity of water is 1254 J.
