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A 100 g cube of aluminium is removed fro...

A 100 g cube of aluminium is removed from a bath of boiling water and dropped in a bath of room temperature water (2.00 litres at `20.0^(@)C`). What is the final temperature of the water assuming heat loss to the surroundings is negligible? The specific heat capacity of aluminium is 897 J/kg`.^(@)C`.

Text Solution

Verified by Experts

`+Q_(hot)=-Q_(cold)`
`+(mcAT)_("aluminium")=-(mcoverset(. .)(A)T)_("water")`
`(0.100kg)(897" "J//kg.^(@)C)(T_("final")-100^(@)C)=(2.00kg)(4182J//kg.^(@)C)(20.0^(@)C-T_("final"))`
`T_("final")=20.8^(@)C`.
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