Final answer:
The amount of heat needed to raise the temperature of the aluminum piece is 32.4 Joules.
Step-by-step explanation:
To calculate the amount of heat needed to raise the temperature of a piece of aluminum, we can use the equation for heat transfer: Q = mcΔT. In this case, the mass (m) of the aluminum is given as 0.30 g, the specific heat (c) of aluminum is given as 0.900 J/g°C, and the change in temperature (ΔT) is 150°C - 30°C = 120°C. Plugging these values into the equation, we get:
Q = (0.30 g)(0.900 J/g°C)(120°C) = 32.4 J
Therefore, the amount of heat needed to raise the piece of aluminum from 30°C to 150°C is 32.4 Joules.