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How many calories of heat are needed to convert [tex]$2.5 \text{ g}$[/tex] of zinc from a solid to a liquid without its temperature changing?

Give your answer rounded to the nearest whole number. Do not include the units with your answer.

Sagot :

GinnyAnswer
To solve this problem, we need to determine the amount of heat required to convert 2.5 grams of zinc from a solid to a liquid without changing its temperature. This process involves the concept of latent heat of fusion, which is the heat required per gram to change a substance from solid to liquid at its melting point.

Given the information:
- Mass of zinc ([tex]\(m\)[/tex]) = 2.5 grams
- Latent heat of fusion for zinc ([tex]\(L\)[/tex]) = 112 cal/g

The formula to calculate the heat ([tex]\(Q\)[/tex]) needed to melt a substance is:
[tex]\[ Q = m \times L \][/tex]

Substituting the given values:
[tex]\[ Q = 2.5 \, \text{grams} \times 112 \, \text{cal/gram} \][/tex]

Performing the multiplication:
[tex]\[ Q = 280 \, \text{cal} \][/tex]

Finally, rounding the answer to the nearest whole number:
[tex]\[ Q = 280 \][/tex]

Therefore, the amount of heat needed to convert 2.5 grams of zinc from a solid to a liquid without changing its temperature is 280.
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