The mass of the Copper coin is 44.9g
Given that,
q = 545.8 J ; c = 0.387 J/g°C ; ΔT = 31.4°C
To find the mass of the copper the following formula which is used to find the heat absorbed by a substance is to be used:
q = mcΔT
where
q = quantity of the heat
m = mass of the substance
c = specific heat capacity of the material
ΔT = change in the temperature
Therefore, on rearranging the formula to find the mass of copper coin we get,
m = q/cΔT
On substituting the values of q, c and ΔT we get
m = 545.8 J/(0.387 J/g°C * 31.4 °C)
On solving we get,
m = 44.9g
Therefore the mass of the copper coin is 44.9g.
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