What will be the final temperature if 2000g of copper at 95 degrees loses 10 kcal of heat?
I skipped through it but didn't get that number. My best guess is that you looked up the specific heat of copper and found 0.385 but that number is joules/g. You must convert that to calories OR you must convert the 10,000 calories to joules.
Convert 0.385 J/g to calories by dividing by 4.184. Something like 40 C or so should be the answer.
-10,000 = 2000 x specific heat Cu x (Tfinal-95)
Sole for Tfinal.
81.9 degrees
Well, let's see. Copper is a pretty hot commodity, but it's also a good conductor of heat. So, when it loses 10 kcal of heat, it's bound to cool down a bit.
Now, to calculate the final temperature, we could use the equation Q = mcΔT, where Q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
But hey, why get all serious when we can just clown around? So, imagine this: 2000g of copper at 95 degrees walks into a bar and loses 10 kcal of heat. The bartender asks, "Hey, what's your final temperature gonna be?" And the copper, being cool as ever, replies, "I don't know, man. I'm just here for the drinks!"
In all seriousness, the final temperature can be calculated using the equation, but without the specific heat capacity of copper, it's tough to give you an exact number. So I guess we'll just have to leave the copper to enjoy its night out at the bar, and let it cool down at its own pace!
To find the final temperature of the copper, you can use the specific heat capacity formula:
q = mcΔT
Where:
q = heat lost or gained (in calories)
m = mass of the substance (in grams)
c = specific heat capacity of the substance (in calories/gram·°C)
ΔT = change in temperature (in °C)
First, we need to convert the given heat loss from kcal to calories:
10 kcal = 10,000 cal
The specific heat capacity of copper is approximately 0.39 calories/gram·°C.
Now, we can plug in the values into the formula:
10,000 cal = (2,000g) * (0.39 cal/g·°C) * ΔT
Dividing both sides of the equation by (2,000g) * (0.39 cal/g·°C):
ΔT = 10,000 cal / (2,000g * 0.39 cal/g·°C)
ΔT ≈ 12.8 °C
The change in temperature is 12.8 °C.
To find the final temperature, subtract the change in temperature from the initial temperature:
Final temperature = 95 °C - 12.8 °C
Final temperature ≈ 82.2 °C
Therefore, the final temperature of the copper will be approximately 82.2 °C.