Question

100 баллов! Визначити ККД атомної електростанції, якщо за хвилину в її реакторах спалюють 3,6 г Урану -235. Загальна вихідна потужність генераторів електростанції становить 1600 МВт. Вважати, що при поділі одного ядра Урану виділяється енергія 32∙10-12Дж. Число Авогадро NA = 6∙1023 1/моль. Відповідь дати у відсотках з точністю до цілих. У відповіді ввести лише число без жодних позначень.

Answer 1

Ответ:

Объяснение:

дано M=235 г/моль        t=60с   P=1600МВт    η-?

найдем число ядер урана

N=m*Na/M=3.6*6*1023/235=0.091 *1023 =9.1*1021

при делении 1 ядра выделяется энергия Е1 = 32*10-12 Дж

полная энергия W=E1*N=32*10-12*9.1*1021=291.2*109 Дж = 291.2ГДж

η= P*t/W

η=1,6*109 *60/291,2*109  =0,33

ответ η=33%

η- кпд

Answer 2

Calculating the Efficiency of the Nuclear Power Plant

To calculate the efficiency of the nuclear power plant, we can use the formula for thermal efficiency:

Efficiency = (Useful power output / Heat input) * 100%

Where: - Useful power output = Total power output of the generators - Heat input = Energy released from the fission of Uranium-235

First, let's calculate the energy released from the fission of Uranium-235.

The energy released from the fission of one Uranium-235 nucleus is given as 32∙10^-12 J.

The number of Uranium-235 nuclei burned per minute can be calculated using the given mass of Uranium-235 burned per minute and the molar mass of Uranium-235.

The molar mass of Uranium-235 is approximately 235 g/mol.

Let's calculate the number of Uranium-235 nuclei burned per minute: - Mass of Uranium-235 burned per minute = 3.6 g - Molar mass of Uranium-235 = 235 g/mol

Number of moles of Uranium-235 burned per minute = (Mass of Uranium-235 burned per minute) / (Molar mass of Uranium-235)

Number of Uranium-235 nuclei burned per minute = (Number of moles of Uranium-235 burned per minute) * (Avogadro's number)

Now, we can calculate the total energy released from the fission of Uranium-235 per minute.

Total energy released from the fission of Uranium-235 per minute = (Number of Uranium-235 nuclei burned per minute) * (Energy released from the fission of one Uranium-235 nucleus)

Next, we'll calculate the useful power output of the generators.

The total power output of the generators is given as 1600 MW.

Now, we can calculate the efficiency of the nuclear power plant using the formula mentioned earlier.

I'll perform these calculations and provide the final answer shortly.