Answer :
(a) The amount of heat energy: 18.0043 J.
(b) The final temperature: 71.36 °C
(a) Calculation for the amount of heat energy:
The equation to calculate the amount of heat energy is Q = mcΔT
where,
Q is the heat energy
m is the mass of the platinum
c is the specific heat capacity of the platinum
ΔT is the change in temperature.
Substitute the given values into the equation:
Q = 10.1 g × 0.133 J/g °C × (37.1 °C - 23.0 °C)
Q = 10.1 g × 0.133 J/g °C × 14.1 °C = 18.0043 J.
(b) Calculation for the final temperature:
Use the equation Q = mcΔT, but this time solve for ΔT.
Rearrange the equation: ΔT = Q / mc
Substitute the given values into the equation:
ΔT = 121 J / (18.8 g × 0.133 J/g °C)
ΔT = 121 J / 2.5024 J/°C ≈ 48.36 °C
Finally, add the change in temperature to the initial temperature: 23.0 °C + 48.36 °C = 71.36 °C
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