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A black body calorimeter filled with hot water cools from `60^(@)C` to `50^(@)C` in `4 min` and `40^(@)C` to `30^(@)C` in `8min`. The approximate temperature of surrounding is :A. `10^(@)C`B. `15^(@)C`C. `20^(@)C`D. `25^(@)C` |
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Answer» `(d theta)/(dt)=k(Deltatheta)=k[theta_(w)-theta_(s)]` `theta_(s)=` Temperature of surrounding `theta_(w)=(theta_(1)+theta_(2))/(2)` `(10)/(4)=k[(60+50)/(2)-theta_(s)]`……..`(i)` `(10)/(8)=k[(40+30)/(2)-theta_(s)]`……..`(ii)` equation `(i)` divided by `(ii)` gives `z=(55-theta)/(35-theta)` `70-20theta=55-theta` `theta=15^(@)` |
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