Determine the final temperature of a 10 gram aluminum block originally at 25.0 degrees Celsius if you apply 435 J of energy to it.
The final temperature of the aluminum block is 28.7 degrees Celsius.
To determine the final temperature of the aluminum block, we need to use the equation:
Q = mcΔT
Where Q is the heat energy transferred to the system, m is the mass of the aluminum block, c is the specific heat capacity of aluminum, and ΔT is the change in temperature.
First, we need to calculate the heat energy transferred to the aluminum block:
Q = 435 J (given)
The specific heat capacity of aluminum is 0.903 J/g°C.
The mass of the aluminum block is 10 grams.
Now, let's rearrange the equation to solve for ΔT:
ΔT = Q / (mc)
ΔT = 435 J / (10 g * 0.903 J/g°C)
ΔT ≈ 48.14 °C
To find the final temperature, we add the change in temperature to the initial temperature:
Final temperature = Initial temperature + ΔT
Final temperature = 25.0 °C + 48.14 °C
Final temperature ≈ 73.14 °C
Therefore, the final temperature of the aluminum block after applying 435 J of energy to it is approximately 73.14 degrees Celsius.
To determine the final temperature of the aluminum block, we can use the equation:
Q = mcΔT
Where:
Q is the heat energy (in joules)
m is the mass of the object (in grams)
c is the specific heat capacity of the material (in J/g°C)
ΔT is the change in temperature (in °C)
In this case, we know the following information:
- Mass (m) = 10 grams
- Initial temperature (T1) = 25.0 degrees Celsius
- Heat energy (Q) = 435 J
- Specific heat capacity (c) of aluminum = 0.897 J/g°C
To find the change in temperature (ΔT), we rearrange the equation:
Q = mcΔT
ΔT = Q / (mc)
Now, we plug in the given values:
ΔT = 435 J / (10 g * 0.897 J/g°C)
Simplifying the equation:
ΔT = 48.5°C
Finally, to find the final temperature (Tf), we add the change in temperature (ΔT) to the initial temperature (T1):
Tf = T1 + ΔT
Tf = 25.0°C + 48.5°C
Tf = 73.5°C
Therefore, the final temperature of the aluminum block, after applying 435 J of energy, is 73.5 degrees Celsius.