Question

Thermal energy of 12 000 J is supplied to a 2.0 kg mass of copper. The specific heat capacity of copper is 400 J / (kg °C).What is the rise in temperature?

Answer 1

Answer:

Given : S=400Jkg

−1

C

−1

and L

f

=3.5×10

5

Jkg

−1

Mass of copper block m=2kg

Heat released by the copper block is equal to the heat gained by the ice to melt.

Let the mass of the ice melted be M.

Change in temperature of copper block ΔT=500−0=500

o

C

∴ mS(ΔT)=ML

f

Or 2×400×500=M×3.5×10

5

⟹ M=1.14kg

Answer 2

The rise in the temperature of the copper body is 15 °C.

Given:

The thermal energy supplied to the mass of copper is (Q) = 12000 Joules.

The mass of copper is (m) = 2 Kg.

The specific heat capacity of copper is (s) = 400 $\frac{J }{Kg C}$.

To Find:

The rise in temperature of copper mass =?

Solution:

The heat required to raise the temperature of the unit mass of a given substance by one-degree celsius is the specific heat of the body.

Here, the specific heat capacity of copper is 400 $\frac{J }{Kg C}$.

Now, to calculate the answer to the given question we will use the following formula:

i.e., Q  =  m × s × ΔT

where; ΔT is the rise in the temperature of the mass of copper.

∴ 12000 = 2 × 400 × ΔT

∴ 12000 = 800 × ΔT

∴ ΔT = $\frac{12000}{800}$

∴ ΔT = 15

Therefore, the rise in the temperature of the copper body is 15 °C.

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