The amount of heat required to raise 200 g of aluminum by 10 degrees celsius if its specific heat is 0.897 J/gC ?
I need help. This is all confusing.
m=200 g
c=0.897 J/g°C
ΔT=10°C
Calculate heat required, ΔQ using
ΔQ=mcΔT
Oh, okay. You multiply the numbers. I was dividing it for some reason. Thank you, you are a lifesaver.
As Damon said, check the units.
If you divide, the units do not give joules.
You are welcome :)
I can definitely help you with this problem! To find the amount of heat required to raise the temperature of a substance, you can use the formula:
Q = m * c * ΔT
Where:
Q represents the amount of heat
m is the mass of the substance (in grams)
c is the specific heat capacity of the substance (in J/g°C)
ΔT is the change in temperature (in °C)
In your case, you are given the following values:
m = 200 g (mass of aluminum)
c = 0.897 J/g°C (specific heat of aluminum)
ΔT = 10°C (change in temperature)
Now let's plug in these values into the formula:
Q = 200 g * 0.897 J/g°C * 10°C
First, multiply the mass (200 g) by the specific heat (0.897 J/g°C):
Q = 179.4 J/°C * 10°C
Then, multiply the result by the change in temperature (10°C):
Q = 179.4 J/°C * 10°C = 1794 J
Therefore, the amount of heat required to raise the temperature of 200 g of aluminum by 10 degrees Celsius is 1794 J.
Just look at the units:
Joules = Joules/gram deg C * grams * deg C
grams cancel
deg C cancels
left with Joules
= .897 * 200 * 10 Joules
= 1794 Joules