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Calculate the increase in energy (in jou...

Calculate the increase in energy (in joule) per atom of a piece of aluminium when its temperature is raised by `1^(@)C`. Given 27 g of aluminium contains `6xx10^(23)` atoms, and specific heat capacity of aluminium `="0.2 cal .g"^(-1).^(@)C^(-1)`.

Text Solution

Verified by Experts

Heat required to raise the temperature of 1 g aluminium through `1^(@)C=1xx0.2xx1="0.2 cal"=0.2xx4.2 J=0.84J`.
Number of atoms in 1 g of aluminium `=(6xx10^(23))/(27)`
Hence, increase in energy per atom `=(0.84)/((6xx10^(23))/(27))J`
`=3.78xx10^(-23)J`
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