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Quantity of heat gained by 100 kg of iro...

Quantity of heat gained by 100 kg of iron in raising its temperature by `10^(@)C` is `11xx10^(4)cal`. If a heater can supply heat at the rate of 1000 J `s^(-1)`, how much time does it take to heat an iron block of mass 2.5 kg when the mecury level in a Fahrenheit thermometer rises by 45 divisions.

Text Solution

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Find the mass of the iron from given data.
Find the amount of heat gained by iron to raise its temperature by `10^(@)C` from the given data.
Find the specific heat of the iron from the formula, `Q=msDeltatheta`.
Find the corresponding temperature change in Celsius scale, when there is temperature change of 45 divisions in Fahrenheit scale from the formula
`(DeltaC)/(100)=(DeltaF)/(180)" "(1)`
Find how much amount of heat energy Q. is required for 2.5 kg iron block to increase its temperature by `.DeltaC`.
Make use of `Q.=2.5xxsxxDeltaC" "(2)`
Check the units of Q..
If it is in calorie, convert it into joule.
Then, find the amount of time taken to produce Q by dividing Q. by 1000.
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