A metal bolt in a calorimeter gives up 3.6 x103J of energy as heat to the surrounding water. The bolt has a mass of 0.25 kg and a specific heat capacity of 360 J/kg•°C. What is the change in the bolt’s temperature?
To find the change in the bolt's temperature, we can use the formula:
Q = mcΔT
Where:
Q is the heat given up by the bolt (in Joules)
m is the mass of the bolt (in kilograms)
c is the specific heat capacity of the bolt (in J/kg•°C)
ΔT is the change in temperature (in °C)
We know that Q is 3.6 x 10^3 J, m is 0.25 kg, and c is 360 J/kg•°C. We need to find ΔT.
Rearranging the formula, we can isolate ΔT:
ΔT = Q / (mc)
Substituting the given values:
ΔT = (3.6 x 10^3 J) / ((0.25 kg) x (360 J/kg•°C))
Calculating:
ΔT = 3.6 x 10^3 J / 90 J/°C
Simplifying:
ΔT = 40 °C
Therefore, the change in the bolt's temperature is 40 °C.