How many joules (J) are needed to increase the temperature of 43.0g of aluminum from 25 degrees celcius to 50 degrees celcius? (Cp of Al=0.90J/g degrees of celcius) I also need the formula, data, and answer.
The formula is Q = mc(theta),
where theta is difference in temperature
(final- initial)
m = 43g, Cp = 0.90 J/g & theta = 25 degree C
Substitute all the values into the equation above:
Q = (43)(0.90)(25) = 967.5 J
Note the correct spelling of celsius.
To calculate the amount of energy (in joules) required to increase the temperature of a substance, you need to use the following formula:
Q = m * Cp * ΔT
Where:
Q is the amount of energy (in joules)
m is the mass of the substance (in grams)
Cp is the specific heat capacity of the substance (in J/g°C)
ΔT is the change in temperature (in °C)
Now, let's plug in the values given in the question:
m = 43.0 g (mass of aluminum)
Cp = 0.90 J/g°C (specific heat capacity of aluminum)
ΔT = (50 °C - 25 °C) = 25 °C (change in temperature)
Using the formula, we can calculate the amount of energy required:
Q = 43.0 g * 0.90 J/g°C * 25 °C
Now, let's do the math:
Q = 967.50 J
Therefore, it requires 967.50 joules (J) of energy to increase the temperature of 43.0 grams of aluminum from 25 °C to 50 °C.