Question

Сколько воды можно нагреть от температуры плавления до температуры кипения за счет энергии, которая выделяется при полном сгорании 10 г Урана-235? Считайте, что при делении каждого ядра выделяется 200 МэВ энергии.

Answer 1

n = 235 г/моль = 235*10^-3 кг/моль
N = 6,02*10^23 моль
E = 200·10⁶·1,6*10⁻¹⁹·(0,01/0,235)·6,02·10²³ = 0,77·10¹² Дж.
Q = cmt
m = Q/ct = 770 000 000 000/4200*100 = 1 800 грамм

Answer 2

Calculation of Energy Released by Burning Uranium-235

To calculate the amount of water that can be heated from the melting point to the boiling point using the energy released by burning 10 grams of Uranium-235, we need to determine the energy released per gram of Uranium-235 and then use that value to calculate the total energy released.

Given that each nucleus of Uranium-235 releases 200 MeV (million electron volts) of energy when it undergoes fission, we can calculate the energy released per gram of Uranium-235.

First, we need to convert the mass of Uranium-235 from grams to moles. The molar mass of Uranium-235 is approximately 235 grams/mol. Therefore, the number of moles of Uranium-235 is:

Number of moles of Uranium-235 = mass of Uranium-235 / molar mass of Uranium-235

Number of moles of Uranium-235 = 10 grams / 235 grams/mol

Now, we can calculate the total energy released by multiplying the number of moles of Uranium-235 by the energy released per nucleus:

Total energy released = number of moles of Uranium-235 * energy released per nucleus

Total energy released = (10 grams / 235 grams/mol) * (200 MeV/mol)

To convert the energy from MeV to joules, we can use the conversion factor: 1 MeV = 1.60218 x 10^-13 joules.

Therefore, the total energy released in joules is:

Total energy released (joules) = Total energy released (MeV) * (1.60218 x 10^-13 joules/MeV)

Now, we can use the energy released to calculate the amount of water that can be heated from the melting point to the boiling point.

Calculation of Water Heated from Melting Point to Boiling Point

To calculate the amount of water that can be heated from the melting point to the boiling point, we need to consider the specific heat capacity of water and the temperature difference between the melting point and boiling point.

The specific heat capacity of water is approximately 4.18 joules/gram°C.

The temperature difference between the melting point (0°C) and boiling point (100°C) is 100°C.

To calculate the amount of water heated, we can use the formula:

Amount of water heated = Total energy released (joules) / (specific heat capacity of water * temperature difference)

Substituting the values into the formula, we get:

Amount of water heated = Total energy released (joules) / (4.18 joules/gram°C * 100°C)

Now, we can calculate the amount of water that can be heated using the energy released by burning 10 grams of Uranium-235.

Please note that the calculation provided is based on the assumptions and values given. The actual amount of water heated may vary depending on various factors.

I hope this helps! Let me know if you have any further questions.