Question

The capacity of a storage battery, such as those used in automobile electrical systems, is rated in ampere-hours (A?h). A 50 A?h battery can supply a current of 50 Afor 1.0 h, or 25 A for 2.0 h, and so on.A) What total energy can be supplied by a 13V , 60A?h battery if its internal resistance is negligible?Answer= ...... JB) What volume (in liters) of gasoline has a total heat of combustion equal to the energy obtained in part (a)? (See Section 17.6; the density of gasoline is 90 kg/m 3.)Answer= ........ LC) If a generator with an average electrical power output of 0.45 kW is connected to the battery, how much time will be required for it to charge the battery fully?Answer= ........ h

Answer 1

Answer: (A) 780J

(B) 1.89×10^-11L

(C)1.67×10^-4 h

Explanation:

Energy of the battery = IVt

=13×60 = 780J

Heat combustion of

1g of gasoline relax 46000J

Therefore 780J will release 780/46000

= 0.017g

Density = mass/volume

Volume = mass/density

Volume =0.017× 10^-3 / 900

= 1.89× 10^-8 m3

= 1.89×10^-11 litres

P=IVt

t=P/IV

= 450/60×13

1.67×10^-4 hours