If 5750 Joules of energy are added to 455 grams of granite at 24.0°C, what is the final temperature of the granite?
The specific heat of granite is 0.79 J/g·K.
Answer (3)
To find the final temperature of the granite, we can use the formula:
q = mcΔT
Where q is the heat energy, m is the mass, c is the specific heat, and ΔT is the change in temperature.
First, we can calculate the heat energy absorbed by the granite:
q = 5750 J
To find the change in temperature, we can rearrange the formula as follows:
ΔT = q / (mc)
Substituting the known values:
ΔT = 5750 J / (455 g * 0.79 J/g °C)
Calculating the ΔT:
ΔT = 14.2 °C
To find the final temperature, we add the change in temperature to the initial temperature:
Final temperature = Initial temperature + ΔT = 24.0 °C + 14.2 °C = 38.2 °C
The question asks how much the final temperature will be after adding 5750 Joules of energy to 455 grams of granite that has an initial temperature of 24.0°C. Considering that the specific heat of granite is 0.79 J/g°C, we can calculate the final temperature using the formula q = mcΔT , where q is the heat energy added, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.
To find the change in temperature, rearrange the equation to solve for ΔT: ΔT = q / (mc).
Substituting the given values:
ΔT = 5750 J / (455 g × 0.79 J/g°C)
ΔT = 5750 J / 359.45 J/°C
ΔT ≈ 16°C
Therefore, the final temperature will be:
Final Temperature = Initial Temperature + ΔT
Final Temperature = 24.0°C + 16°C
Final Temperature ≈ 40°C
So, the final temperature of the granite would be approximately 40°C.
By applying 5750 Joules of energy to 455 grams of granite at an initial temperature of 24.0°C, the final temperature is calculated to be approximately 40.0°C. This was determined using the specific heat formula to find the temperature change and adding it to the initial temperature. The specific heat of granite is 0.79 J/g·K.
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