Question
This problem compares the energy output and heat transfer to the environment by two different types of nuclear power stations—one with the normal efficiency of 34.0%, and another with an improved efficiency of 40.0%. Suppose both have the same heat transfer into the engine in one day, $2.50 \times 10^{14} \textrm{ J}$ . (a) How much more electrical energy is produced by the more efficient power station? (b) How much less heat transfer occurs to the environment by the more efficient power station? (One type of more efficient nuclear power station, the gas-cooled reactor, has not been reliable enough to be economically feasible in spite of its greater efficiency.)
1. $1.50 \times 10^{13} \textrm{ J}$
2. The more efficient power plant emits $1.50 \times 10^{13} \textrm{ J}$ less energy to the environment. Notice that this is equal to the additional work done found in part (a).
Solution Video