The mass of the iceberg is 71.9 kg
Explanation:
The amount of thermal energy needed to completely melt a substance at its melting point is given by
[tex]Q=\lambda m[/tex]
where
[tex]\lambda[/tex] is the latent heat of fusion
m is the mass of the substance
In this problem, we have a block of ice at its melting point (zero degrees). The amount of heat given to the block is
[tex]Q=2.40\cdot 10^7 J[/tex]
And the latent heat of fusion of ice is
[tex]\lambda = 334 J/g[/tex]
So, we can re-arrange the equation to find m, the amount of ice that will melt:
[tex]m=\frac{Q}{\lambda}=\frac{2.40\cdot 10^7}{334}=71856 g = 71.9 kg[/tex]
Learn more about specific heat:
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