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PS1 Solutions

PS1 Solutions - 2.32(a First the energy balance must be...

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59 2.32 (a) First, the energy balance must be developed. Since the problem asks how much energy is stored in the battery after 10 hours of operation, the process is not steady-state. Let the battery be the system. Potential and kinetic energy effects can be neglected. Furthermore, heating of the battery as it is charged can be ignored. The energy balance is s sys W Q dt dU No shaft work is performed, but electrical is supplied to the battery, which must be accounted for in s W . The value of Q is given explicitly in the problem statement. Both of these values remain constant over time, so integration provides t W Q U s From the problem statement   s 36000 kW 1 kW 5 t Q W s Substituting these values allows the calculation of the amount of energy stored: MJ 144 kJ 000 , 144 U (b) To calculate the velocity of the falling water, an energy balance must be developed with the

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