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In the Joule experiment, a mass of 20 kg...

In the Joule experiment, a mass of 20 kg falls through 1.5m at a constant velocity to stir the water in a calorimeter. If the calorimeter has a water equivalent of 2 g and contains 12 g of water, what is f, the mechanical equivalent of heat, for a temperature rise of `5.0^@C`?

Text Solution

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Change in potential energy is `DeltaU=mgh=20xx10xx1.5=300J`. This change in potential energy is utilized to increase the temperature of calorimeter and water `Q=W Delta T+ mc Delta T` (W is the water equivalent of calorimeter)
`:. Q=2xx(5.0)+(12)(1)(5.0)=70cal`
Hence `Qf=DeltaUimpliesf=(DeltaU)/(Q)=(300)/(70)=4.2J`
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