Respuesta :

The amount of heat needed to melt the block of lead is [tex]5.4\cdot 10^4 J[/tex]

Explanation:

The amount of heat needed to melt a solid substance already at its melting point is given by the equation

[tex]Q=m \lambda_f[/tex]

where

m is the mass of the substance

[tex]\lambda_f[/tex] is the specific latent heat of fusion

In this problem, we have a block of lead already at its melting point, [tex]327^{\circ}C[/tex]. Its mass is

m = 200 g = 0.2 kg

and its specific latent heat of fusion is

[tex]\lambda_f = 2.7\cdot 10^5 J/kg[/tex]

Therefore, the amount of heat needed for the block to completely melt is

[tex]Q=(0.2)(2.7\cdot 10^5)=5.4\cdot 10^4 J[/tex]

Learn more about specific heat:

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