A substance initially in the solid state at $0^{\circ} C$ is heated. The graph showing the variation in temperature with the amount of heat supplied is shown below. If the mass of the substance is 20g, find the latent heat of fusion of the substance.

$20000 J k g^{- 1}$

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$30000 J k g^{- 1}$

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$40000 J k g^{- 1}$

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$50000 J k g^{- 1}$

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Solution

The correct option is D
$50000 J k g^{- 1}$

Given:
Mass of substance $= 20 g = \frac{20}{1000} k g = 0.02 k g$
BC $\to$ solid changes to liquid (temperature constant)
$∴$ Amount of heat required = mass $\times$ latent heat of fusion
$\Rightarrow (2000 - 1000) J = 0.02 \times L$
$\Rightarrow L = \frac{1000}{0.02} = \frac{1000 \times 100}{2} = 50000 J k g^{- 1}$

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A substance initially in the solid state at 0∘C is heated. The graph showing the variation in temperature with the amount of heat supplied is shown below. If the mass of the substance is 20g, find the latent heat of fusion of the substance.

The correct option is D 50000 J kg−1 Given: Mass of substance =20g=201000 kg=0.02 kg BC → solid changes to liquid (temperature constant) ∴ Amount of heat required = mass × latent heat of fusion ⇒(2000−1000)J=0.02×L ⇒L=10000.02=1000×1002=50000 J kg−1

A substance initially in the solid state at $0^{\circ} C$ is heated. The graph showing the variation in temperature with the amount of heat supplied is shown below. If the mass of the substance is 20g, find the latent heat of fusion of the substance.