How much heat is required to raise the temperature of 25g of aluminum from 25.0 C to 100 C?
Convert this value to joules?
To calculate the heat required, you can use the formula:
Q = m * c * ΔT
where:
Q is the heat energy in joules (J)
m is the mass of the substance in grams (g)
c is the specific heat capacity of the substance in J/(g*C)
ΔT is the change in temperature in degrees Celsius (C)
For aluminum, the specific heat capacity (c) is 0.897 J/(g*C).
Given:
m = 25g
ΔT = 100°C - 25°C = 75°C
Now, let's calculate the heat required:
Q = 25g * 0.897 J/(g°C) * 75°C
Q = 1689.375 J
Therefore, the heat required to raise the temperature of 25g of aluminum from 25.0°C to 100°C is approximately 1689.375 joules (J).
To determine the amount of heat required to raise the temperature of a substance, you need to use the specific heat capacity formula:
q = m * c * ΔT
where:
q is the amount of heat (in Joules),
m is the mass of the substance (in grams),
c is the specific heat capacity of the substance (in J/g°C), and
ΔT is the change in temperature (in °C).
In this case:
m = 25g (since we are given the mass of aluminum as 25g)
c for aluminum is approximately 0.897 J/g°C (specific heat capacity of aluminum)
ΔT = 100°C - 25°C = 75°C (change in temperature)
Plugging these values into the formula, we get:
q = 25g * 0.897 J/g°C * 75°C
Calculating this, we find:
q ≈ 1685.625 Joules
Therefore, approximately 1685.625 Joules of heat is required to raise the temperature of 25g of aluminum from 25.0°C to 100.0°C.