A 73.0 g silver spoon at 19.2 c is place in a cup of coffee at 91.2 c. How much heat does the spoon absorb from the coffee to reach a temperature of 85.6 c?
q = mass spoon x specific heat spoon x (Tfinal-Tinitial)
To determine the amount of heat absorbed by the silver spoon, we can use the heat transfer equation:
Q = mcΔT
Where:
Q = heat transferred (in Joules)
m = mass of the silver spoon (in grams)
c = specific heat capacity of silver (in J/g·°C)
ΔT = change in temperature (in °C)
Given values:
m = 73.0 g
c = 0.235 J/g·°C (specific heat capacity of silver)
To calculate the change in temperature, we need to determine the initial temperature of the silver spoon. The initial temperature can be found using the equation:
Q = mcΔT
Solving for ΔT:
ΔT = Q / (mc)
ΔT = (73.0 g) * (0.235 J/g·°C) * (85.6 °C - 19.2 °C) / (73.0 g * 0.235 J/g·°C)
ΔT = 66.0714286 °C
Now, we can calculate the heat absorbed by the silver spoon:
Q = mcΔT
Q = (73.0 g) * (0.235 J/g·°C) * (66.0714286 °C)
Q = 1137.0763426 J
Therefore, the spoon absorbs 1137.08 Joules of heat from the coffee to reach a temperature of 85.6 °C.
To determine the amount of heat absorbed by the spoon, we can use the formula:
Q = mcΔT
Where:
Q = heat absorbed (in joules)
m = mass of the spoon (in grams)
c = specific heat capacity of silver (in joules/gram-degrees Celsius)
ΔT = change in temperature (in degrees Celsius)
First, let's calculate the change in temperature of the spoon:
ΔT = final temperature - initial temperature
ΔT = 85.6°C - 19.2°C
ΔT = 66.4°C
Next, we need to find the specific heat capacity of silver. The specific heat capacity of a substance tells us how much heat energy is required to raise the temperature of 1 gram of that substance by 1 degree Celsius.
The specific heat capacity of silver is approximately 0.235 J/g°C.
Now, we can substitute the values into the formula to find the heat absorbed by the spoon:
Q = (73.0g) * (0.235 J/g°C) * (66.4°C)
Q = 1,042.796 J
Therefore, the silver spoon absorbs approximately 1,042.796 joules of heat from the coffee to reach a temperature of 85.6°C.