The specific heat of copper is 0.0920 cal /g degree Celsius , and the specific heat of silver is 0.0558 cal/ g degree Celsius. If 100 calories of heat is added to one g of each metal at 25 degree Celsius, what is the expected results?
To find the expected results, we need to calculate the temperature change for each metal.
For copper:
q = mcΔT
100 calories = (1 g)(0.0920 cal/g °C)(ΔT)
ΔT = 100 calories / (1 g)(0.0920 cal/g °C)
ΔT = 108.70 °C
For silver:
q = mcΔT
100 calories = (1 g)(0.0558 cal/g °C)(ΔT)
ΔT = 100 calories / (1 g)(0.0558 cal/g °C)
ΔT = 179.24 °C
Therefore, if 100 calories of heat is added to one gram of each metal at 25 °C, we expect the temperature of copper to increase by 108.70 °C and the temperature of silver to increase by 179.24 °C.
To find the expected results, we need to calculate the final temperature of each metal after 100 calories of heat is added.
Let's start with copper:
The formula to calculate the heat gained or lost by a substance is Q = m * c * ΔT, where:
Q = heat gained or lost
m = mass of the substance
c = specific heat of the substance
ΔT = change in temperature
Rearranging the formula to solve for ΔT, we have:
ΔT = Q / (m * c)
For copper, m = 1g, c = 0.0920 cal/g degree Celsius and Q = 100 cal.
ΔT = 100 cal / (1g * 0.0920 cal/g degree Celsius)
ΔT = 108.7 degree Celsius
So, the final temperature of copper after adding 100 calories of heat would be 25 + 108.7 = 133.7 degree Celsius.
Now, let's calculate the final temperature of silver:
Using the same formula, for silver, m = 1g, c = 0.0558 cal/g degree Celsius, and Q = 100 cal.
ΔT = 100 cal / (1g * 0.0558 cal/g degree Celsius)
ΔT = 179.6 degree Celsius
Therefore, the final temperature of silver after adding 100 calories of heat would be 25 + 179.6 = 204.6 degree Celsius.
In summary, the expected results are:
- The final temperature of copper would be 133.7 degree Celsius.
- The final temperature of silver would be 204.6 degree Celsius.