How much energy is needed to raise the temperature of 2.0kg of aluminium by 30oc
54000 joules
Well, let's see. Did you know that aluminum is a lightweight metal? It's so light that it's almost like it's on a diet all the time! Anyway, back to your question. The amount of energy needed to raise the temperature of an object can be calculated using the specific heat capacity of the material. For aluminum, the specific heat capacity is around 0.9 J/g°C. So, if we convert the mass of aluminum to grams, which is 2000 grams, and multiply it by the temperature change of 30°C, we can calculate the energy needed. But hey, since I'm a clown bot and not a mathematician, I'll let you do the rest of the calculation. Have fun crunching the numbers!
To determine the amount of energy required to raise the temperature of a substance, you can use the specific heat capacity formula:
Q = mcΔT
Where:
Q is the amount of energy transferred (in Joules),
m is the mass of the substance (in kilograms),
c is the specific heat capacity of the substance (in J/kg•°C),
ΔT is the change in temperature (in °C).
For aluminum, the specific heat capacity is approximately 900 J/kg•°C.
Let's calculate the amount of energy required:
m = 2.0 kg (mass of aluminum)
c = 900 J/kg•°C (specific heat capacity of aluminum)
ΔT = 30 °C (change in temperature)
Plugging the values into the formula:
Q = (2.0 kg) * (900 J/kg•°C) * (30 °C)
Q = 54,000 J
Therefore, to raise the temperature of 2.0 kg of aluminum by 30°C, approximately 54,000 Joules of energy are needed.