How much heat, in joules, is necessary to raise the temperature of a 3.5g piece of aluminum from 22 degrees C to 37 degrees C? (J/g*C = .90 ; cal/g*C = .21)

To calculate the amount of heat required to raise the temperature of a substance, you can use the formula:

q = m * c * ΔT

where:
q is the amount of heat,
m is the mass of the substance,
c is the specific heat of the substance, and
ΔT is the change in temperature.

Given:
m = 3.5g (mass of aluminum piece)
c = 0.90 J/g°C (specific heat of aluminum)
ΔT = (final temperature - initial temperature)
= (37°C - 22°C) = 15°C

Now, substitute the given values into the formula:

q = 3.5g * 0.90 J/g°C * 15°C

Calculating the expression:

q = 47.25 J

Therefore, the amount of heat necessary to raise the temperature of a 3.5g piece of aluminum from 22°C to 37°C is 47.25 joules.