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Chapter 7: Q6CP (page 299)

An electric hot plate raises its own internal energy and the internal energy of a cup of water by 8000J, and there is at the same time 1000Jtransferred to the cooler air (that is,Q=1000J ). How much energy was transferred to the hot plate in the form of electricity?

Short Answer

Expert verified

The amount of energy that was transferred to the hot plate in the form of electricity is 9000 J.

Step by step solution

01

Equation for transferred energy

Change in energy is鈭�Esys=8000Jand the transferred energy due to temperature difference is Q=-1000 J.

The formula to be used in getting the change in energy鈭�Esys=Q+Wwhere, Qis the Transferred energy due to temperature difference,Wis the mechanical energy transfer.

Solve the equation of change in energyfor W .

W=鈭�Esys-Q

02

Calculation for transferred energy

Substitute the values to the derived equation then solve.

W=鈭�Esys-Q=8000J-1000J=9000J

Therefore, the transferred energy to the hot plate is 9000J.

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