Nuclear Fission Mass Calculation

Question

A nuclear power plant produces thermal power at a rate of $$1 	ext{ GW}$$. Using the data in the table, calculate the approximate mass, in grams, of uranium-235 (U-235) that undergoes fission if the plant operates for $$1$$ hour.

**Data Table:**
| Quantity             | Value                                                |
|----------------------|------------------------------------------------------|
| Power Conversion     | $$1 	ext{ GW} = 10^9 	ext{ W}$$                   |
| Time Conversion      | $$1 	ext{ hour} = 3600 	ext{ s}$$                 |
| Molar Mass (U-235)   | $$235 	ext{ g/mol}$$                                |
| Avogadro's Number    | $$6.022 	imes 10^{23} 	ext{ nuclei/mol}$$         |
| Energy per Fission   | $$200 	ext{ MeV}$$                                  |
| Energy Conversion    | $$1 	ext{ MeV} = 10^6 	ext{ eV}$$                 |
| Energy Conversion    | $$1 	ext{ eV} = 1.602 	imes 10^{-19} 	ext{ J}$$ |

Accepted Answer

$$44 	ext{ g}$$

Answer

$$440 	ext{ g}$$

Answer

$$0.44 	ext{ g}$$

Answer

$$4.4 	ext{ g}$$

Quantity	Value
Power Conversion	$1 \text{ GW} = 10^9 \text{ W}$
Time Conversion	$1 \text{ hour} = 3600 \text{ s}$
Molar Mass (U-235)	$235 \text{ g/mol}$
Avogadro’s Number	$6.022 \times 10^{23} \text{ nuclei/mol}$
Energy per Fission	$200 \text{ MeV}$
Energy Conversion	$1 \text{ MeV} = 10^6 \text{ eV}$
Energy Conversion	$1 \text{ eV} = 1.602 \times 10^{-19} \text{ J}$

Nuclear Fission Mass Calculation

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