An electric generator coupled to a windmill produces an average electric power output of 15 kW. The power is used to charge a storage battery. Heat transfer from the battery to the surroundings occurs at a constant rate of 1.8 kW. Determine, for 8 hours of operation: A) the total amount of energy stored in the battery, ink J B) the value of the stored energy, in $, if electricity isvalued at $0.08 per kW⋅h

Question

An electric generator coupled to a windmill produces an average electric power output of 15 kW. The power is used to charge a storage battery. Heat transfer from the battery to the surroundings occurs at a constant rate of 1.8 kW. Determine, for 8 hours of operation:  A) the total amount of energy stored in the battery, ink J  B) the value of the stored energy, in $, if electricity isvalued at $0.08 per kW⋅h

Tuthornt · Accepted Answer

Stored energy in battery, Est=15−1.8=13.2kW  In kW⋅h,Est=13.2×8=105.6kW⋅h  But 1kW⋅h=3.6×103kJ  Est=(105.6×3.6×103)kJ  The value of the stored energy = (105.6×0.08)$

Jeffrey Jordon · Accepted Answer

The electric power generated by the windmill =P= 15 kW.Heat dissipation by the battery =Q= 1.8 kW.The power is generated for 1 hour.we know, 1 kW = 1 kJ/sP=15⋅60⋅60=54000kJQ=1.8⋅60⋅60=6480kJ△E=P−Q△E=54000−6480△E=47520kJTotal amunt of energy stored in the battery is 47520 kJ.&amp;nbsp;

nick1337 · Accepted Answer

Answer:A) The total amount of energy stored in the battery is 120 kW*h.B) The value of the stored energy is 9.6 dollars.Explanation:A) Calculating the total amount of energy stored in the battery:The average electric power output of the generator is given as 15 kW, and it operates for 8 hours. To find the total amount of energy stored in the battery, we need to calculate the energy transferred to the battery in kilowatt-hours (kW*h).The formula to calculate energy is:Energy=Power×TimeUsing this formula, we can calculate the energy transferred to the battery:Energy=15kW×8hours=120kW*hTherefore, the total amount of energy stored in the battery is 120 kW*h.B) Calculating the value of the stored energy in dollars:The value of electricity is given as 0.08 dollars per kilowatt-hour (kW*h). To calculate the value of the stored energy, we need to multiply the energy (in kW*h) by the cost per kW*h.Using the given information, we can calculate the value of the stored energy:Value&amp;nbsp;of&amp;nbsp;stored&amp;nbsp;energy=Energy×Cost&amp;nbsp;per&amp;nbsp;kW*hValue&amp;nbsp;of&amp;nbsp;stored&amp;nbsp;energy=120kW*h×0.08dollars&amp;nbsp;per&amp;nbsp;kW*h=9.6dollarsTherefore, the value of the stored energy is 9.6 dollars.

An electric generator coupled to a windmill produces an average electric power output of 15 kW. The power is used to charge a storage battery. Heat tr

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