The specific heat capacity is 250 J/kg.°C
The amount required to increase a temperature per unit of mass is known as specific heat capacity. It is a constant having various values depending on the substance.
Using the formula for heat capacity:
ΔQ = mcΔT
ΔQ is the heat capacity, unit is in Joules (J)
m is the mass, unit is in kg
c is the specific heat capacity, unit is in J/kg.°C
ΔT is the change in temperature, unit is in °C
ΔT = T₂ - T₁
where
T₂ final temperature, unit is in °C
-T₁ initial temperature, unit is in °C
For the given information:
ΔQ = 1.00*10^4 Joules (J)
m = 2 kg
c = c J/kg.°C
ΔT is the change in temperature, unit is in °C
ΔT = T₂ - T₁ = 40 - 20 = 20 °C
Thus from ΔQ = mcΔT
1.00*10^4 = 2 x c x 20
c = 1.00*10^4 / 40 = 250 J/kg.°C
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