KnowledgeBoat Logo
|

Physics

A solid metal of mass 150 g melts at it's melting point of 800° C by providing heat at the rate of 100 W. The time taken for it to completely melt at the same temperature is 4 min. What is the specific latent heat of fusion of the metal?

Calorimetry

101 Likes

Answer

Given,

m = 150 g = 0.15 kg

P = 100 W

t = 4 min = 240 s

specific latent heat of fusion of the metal = ?

Heat supplied = P x t

Substituting the values we get,

Heat supplied=100×240Heat supplied=24000J\text{Heat supplied} = 100 \times 240 \\[0.5em] \text{Heat supplied} = 24000 J

We know,

Q = m x L

Substituting the values we get,

24000=0.15×LL=240000.15L=160,000L=1.6×105 J kg124000 = 0.15 \times \text{L} \\[0.5em] \Rightarrow \text{L} = \dfrac{24000}{0.15} \\[0.5em] \Rightarrow \text{L} = 160,000 \\[0.5em] \Rightarrow \text{L} = 1.6 \times 10^{5} \text{ J kg}^{-1}

Hence, specific latent heat of fusion of the metal = 1.6 x 105 J kg-1

Answered By

40 Likes


Related Questions