suppose that you are to cool tap water stored in a 1L kettle at 6am. if its temperature is 8C and you have to heat it up. how much energy would you need assuming the water is pure?

specific heat of pure water is 4186 J/kg-C

input 2 decimal places

To calculate the energy required to heat water, we can use the formula:

\[
Q = mc\Delta T
\]

Where:
- \( Q \) is the energy required (in joules),
- \( m \) is the mass of the water (in kilograms),
- \( c \) is the specific heat capacity of water (4186 J/kg°C),
- \( \Delta T \) is the temperature change (in °C).

### Given:
- Volume of water = 1 liter = 1 kg (since the density of water is 1 kg/L),
- Initial temperature = 8°C,
- Let's assume you're heating the water to 100°C (the boiling point of water).

### Step-by-step calculation:
1. The mass \( m \) of water is 1 kg.
2. The temperature change \( \Delta T \) is:

\[
\Delta T = 100°C - 8°C = 92°C
\]

3. Now, substitute the values into the formula:

\[
Q = 1 \, \text{kg} \times 4186 \, \frac{\text{J}}{\text{kg} \cdot \text{°C}} \times 92 \, \text{°C}
\]

Now let's compute the energy.The energy required to heat the water from 8°C to 100°C is 385,112 J (joules).

Would you like more details or have any questions?

Here are five related questions:
1. How would the energy requirement change if you started with 2 liters of water?
2. What if the final temperature is only 50°C instead of 100°C?
3. How does the specific heat capacity affect the energy needed for different liquids?
4. Can we reduce energy consumption by covering the kettle during heating?
5. What is the role of latent heat if you want to convert water to steam?

**Tip:** For small quantities of water, covering the container can help retain heat and save energy during heating.

Suppose that you are to cool tap water stored in a 1L kettle at 6am. If its temperature is 8°C and you have to heat it up, how much energy would you need assuming the water is pure? Specific heat of pure water is 4186 J/kg°C.

Learn how to calculate the energy required to heat 1 liter of pure water from 8°C using the specific heat formula. This step-by-step solution explains the concepts of thermodynamics and energy calculations, suitable for students in Grades 9-12.

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