Middle School

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What is the specific heat (J/g°C) of a metal whose temperature increases by 3.0°C when 17.5 g of metal is heated with 38.5 J?

Answer :

Answer:

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

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