216J if energy is required to raise the temperature of aluminium from 15 degrees Celsius to 35 degrees Celsius. Calculate the mass of the aluminium.
My work
I keep getting 0.012 but it is not right
I know the formula is Q= m x C x T
-216J of energy means 216 joules of heat energy is absorbed by the piece of aluminum.
∆Q = 216 J
∆T = Tf – Ti = 35 – 15 = 20˚
216 = mass * 902 * 20
Mass = 216 ÷ 18040
The mass is approximately 0.012 kg
So 0.012 is right?
Wait why did you put 902.... 9.2 X 10^2 is equal to 920
yes 0.012 is right
To calculate the mass of the aluminum, you need to rearrange the equation Q = m * C * ΔT to solve for m (mass).
Given:
Q = 216 J (energy required)
C = specific heat capacity of aluminum
ΔT = change in temperature = 35°C - 15°C = 20°C
1. Find the specific heat capacity of aluminum (C):
The specific heat capacity of aluminum is approximately 0.897 J/g°C.
2. Substitute the values into the equation:
216 J = m * 0.897 J/g°C * 20°C
3. Solve for m (mass):
Divide both sides of the equation by (0.897 J/g°C * 20°C):
m = 216 J / (0.897 J/g°C * 20°C)
Calculating this out, you should get:
m ≈ 12.04 g
So, the mass of the aluminum is approximately 12.04 grams.