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Standard X

Physics

Change of State

A solid at in...

Question

A solid at initial temperature $0^{\circ} C$ is heated. A graph showing changes to the heat supplied is given below. What is the mass of solid substance? [Specific heat capacity of solid: $500 J / k g K$ ]

0.025 k g

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25 k g

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0.25 k g

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2.5 k g

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Solution

The correct option is A $0.025 k g$
Given:
Specific heat capacity of the substance: $c = 500 J / k g K$

From A to B,
X-axis gives heat absorbed, $Q = 1000 J$
Y-axis gives temperature change,
$Δ T = 80 - 0$
$Δ T = 80 K$

We know if a substance is heated without changing its phase then heat supplied is given by:
$Q = m c Δ T$
$1000 = m \times 500 \times 80$
$m = 0.025 k g = 25 g$

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