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63.2 G of Copper at 50°C Can Just Melt 3.8g of Ice. If the Specific Latent Heat of Ice is 336 J/G, Find the Specific Heat Capacity of Copper.

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Question

63.2 g of copper at 50°C can just melt 3.8g of ice. If the specific latent heat of ice is 336 J/g, find the specific heat capacity of copper.

Short/Brief Note
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Solution

Let the specific heat capacity of copper be s

∴ Heat lost by copper = 63.2 × s × (50 - 0) = 3160 s joule

Heat gained by ice = 3.8 × 336 joule

Since Heat gained = Heat lost

We have 3160s = 3.8 × 336 = 1276.8

Or s = (1276.8/3160) K/g °C = 0.404 J/g °C.

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