energy content of 1kg of coal is 29.3 times 10 to the power of 6 J by taking a unit ratio, determine how many times more energy the fission of 1kg uranium 235 creates than burning 1kg coal

To compare the energy produced by fission of 1 kg of uranium-235 (U-235) with the energy produced by burning 1 kg of coal, we need to follow these steps:

1. **Energy content of 1 kg of coal**:  
   Given that the energy content of 1 kg of coal is \( 29.3 \times 10^6 \, \text{J} \).

2. **Energy content of 1 kg of uranium-235 (U-235)**:  
   The energy released by the fission of 1 kg of uranium-235 is approximately \( 8.2 \times 10^{13} \, \text{J} \) (This is a standard figure for uranium fission).

3. **Unit ratio** (how many times more energy U-235 produces than coal):
   \[
   \text{Energy ratio} = \frac{\text{Energy from 1 kg of U-235}}{\text{Energy from 1 kg of coal}} = \frac{8.2 \times 10^{13} \, \text{J}}{29.3 \times 10^6 \, \text{J}}
   \]

   Simplifying this:
   \[
   \text{Energy ratio} = \frac{8.2 \times 10^{13}}{29.3 \times 10^6} = 2.8 \times 10^6
   \]

Thus, the fission of 1 kg of uranium-235 produces approximately **2.8 million times more energy** than burning 1 kg of coal.

Would you like a detailed explanation of each step?

Here are 5 related questions:
1. What are the key differences in the processes of nuclear fission and coal combustion?
2. How much uranium-235 is typically used in a nuclear power plant?
3. What are the environmental impacts of burning coal vs. nuclear fission?
4. How does the energy density of other fuels compare to uranium and coal?
5. How is energy from nuclear fission converted into electricity?

**Tip**: The high energy density of uranium-235 is why it's used in nuclear reactors, making it much more efficient than traditional fossil fuels like coal.

The energy content of 1kg of coal is 29.3 times 10 to the power of 6 J. By taking a unit ratio, determine how many times more energy the fission of 1kg uranium-235 creates than burning 1kg coal.

Discover how to calculate the energy ratio between 1kg of uranium-235 and 1kg of coal. This problem involves key mathematical concepts such as unit ratio and exponents, showing that uranium-235 produces 2.8 million times more energy than coal. Suitable for Grades 9-12.

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