Question

please do 4, and 5

4. The open-circuit voltage of a battery is 12 volts and it's internal (i.e., source) resistance is one ohm. Using a load resistor as a heating element to extract maximal power from the battery to heat up a container of 1 cubic meter of water (to be used as a thermal reservoir for a steam engine). (a) How long (i.e., how many seconds) does it take to bring that water from 32 degrees Celsius to 90 degrees Celsius (b) With the above as a hot reservoir and room temperature air as a cold reservoir (at 32 degrees Celsius) how much work (per cycle) can you extract from a steam engine operated in a Carnot cycle when the maximum volume of the steam is 10 cubic meters and the minimum volume of the steam is 2 cubic meters? [The steam has a gamma -7/2.] 5. (a) repeat 4(a) if the 12 volt battery is replaced by a solar-thermal collector of collection area 2 [square meters] and the water absorbs none of the energy between 400nm and 1125nm (but absorbs all of the rest of it). 5. (b) repeat 4(b) if the Carnot cycle is replaced by a Stitling cycle 6. One mole of an ideal monatomic gas is subjected to a cycle that forms a circle on the P-V diagram as shown, Calculate the following. (a) the work done by the gas in one cycle (b) the internal energy difference between state C and state A (c) the heat absorbed by the gas in going from A to C via the path ABC of the cycle 7. see next page from book

Answer 1

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