Question

If 782.9 J of energy is lost when a sample of Fe (iron) with a mass of 32.9 g is cooled, what is the change in temperature (ΔT)? The specific heat of Fe is 0.449 J/g°C.

a)ΔT=34.5°C
b)ΔT=1.74°C
c) ΔT=17.5°C
d)ΔT=6.4°C

Answer 1

To find the change in temperature, we can use the formula: ΔT = q / (m * c), where q is the energy lost, m is the mass of the iron sample, and c is the specific heat of iron. Plugging in the values, the change in temperature is approximately 34.5°C.

Step-by-step explanation:

To find the change in temperature (ΔT), we can use the formula:

ΔT = q / (m * c)

Where:
q is the energy lost (782.9 J)
m is the mass of the iron sample (32.9 g)
c is the specific heat of iron (0.449 J/g°C)

Plugging in the values, we get:
ΔT = 782.9 J / (32.9 g * 0.449 J/g°C) = 34.49°C

Therefore, the change in temperature is approximately 34.5°C.