Question

A 20 kg metal rod is heated 100 degrees celsius with 2000 J of energy. What is the specific heat of the metal rod?​

Answer 1

Explanation:

Given

Mass (m) = 20kg

Temperature (Δt) = 100°C

Energy (q) = 2000J

Specific Heat (c) = ?

c = q / mΔt

c = 2000 / (100)(20)

c = 2000 / 2000

c = 1 J / g °C

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Answer 2

Given:

Mass of the metal rod $=20kg$

Temperature $=100^{o}C$

Energy $=2000J$

To find:

Specific heat of the metal rod.

Solution:

Specific heat of any material is the energy required by the material to raise its temperature from initial temperature by 1°C.

Mathematically, the energy for the specific heat is given by

$Q=mc$Δ$T$

Where, $Q$ is the heat supplied to the material of mass $m$ to raise its temperature $T$, and $c$ is the specific heat of the material.

According to the question, we have

$Q=2000J$        $;$  $m=20kg$     $;$ Δ$T=100^{o}C$

Hence, we get

$2000=(20)c(100)$

$c=\frac{2000}{2000}$

$c=1J/kg/^{o}C$

Final answer:

Hence, the specific heat of the metal rod is 1 J/kg/°C.