What is the specific heat (J/g C) of a metal who's temp increases by 3.0 C when 17.5 g of metal was heated with 38.5 J

0.733 J/g °C

Explanation:

Step 1 : Write formule of specific heat

Q = mc Δ T

with Q = heat transfer (J)

with m = mass of the substance

with c = specific heat ⇒ depends on material and phase (J/g °C)

Δ T = Change in temperature

in this case:

Q = 38.5 J

m = 17.5g

c = has to be determined

Δ T = 3 (°C)

Step 2: Calculating specific heat

⇒ via the formule Q = mc Δ T

38.5 J = 17.5g * c * 3

38.5 = 52.5 * c

c = 38.5 / 52.5

c = 0.733 J/g °C ⇒ 0.733 is reported to three significant digits due to the precision.

The specific heat of this metal is 0.733 J/g °C