which requires more energy, increasing the temperature of a 1kg block of aluminum by 20 degrees celsius or raising the temperature of 500g of water by 5 degrees celsius
Look up the specific heat of Al and H2O. Then q = mass Al x sp. h. Al x (delta T). and
q = mass H2O x sp. h. water x (delta T).
Watch the units. Al is in Kg and H2O is in grams. Make sure the specific heat is in the right units.
To determine which requires more energy, let's calculate the energy required for each scenario using the specific heat capacity formula:
Q = mcΔT
Where:
Q represents the energy required,
m is the mass of the substance,
c is the specific heat capacity, and
ΔT is the change in temperature.
First, let's calculate the energy required to increase the temperature of the 1kg block of aluminum by 20 degrees Celsius:
For aluminum:
m = 1 kg
c = 0.897 J/g°C (specific heat capacity of aluminum)
Converting the mass of aluminum to grams:
1 kg = 1000 g
ΔT = 20°C
Now, we can calculate the energy required:
Q = mcΔT
Q = (1000 g)(0.897 J/g°C)(20°C)
Q = 17,940 J
So, it would require 17,940 joules of energy to increase the temperature of a 1kg block of aluminum by 20 degrees Celsius.
Next, let's calculate the energy required to raise the temperature of 500g of water by 5 degrees Celsius:
For water:
m = 500 g
c = 4.184 J/g°C (specific heat capacity of water)
ΔT = 5°C
Q = mcΔT
Q = (500 g)(4.184 J/g°C)(5°C)
Q = 10,460 J
Therefore, it would require 10,460 joules of energy to raise the temperature of 500g of water by 5 degrees Celsius.
Comparing the two values, we find that it requires more energy to increase the temperature of a 1kg block of aluminum by 20 degrees Celsius (17,940 J) compared to raising the temperature of 500g of water by 5 degrees Celsius (10,460 J).