the total mass of bricks in a storage heater is 100kg. the bricks have a specific heat capacity of 1700j kg-1 k-1. if the heater was on for 9 hours, what power was supplied

To find the power supplied to the storage heater, we can use the formula for thermal energy:

\[
Q = mc\Delta T
\]

where:
- \( Q \) is the thermal energy in joules (J),
- \( m \) is the mass of the bricks (100 kg),
- \( c \) is the specific heat capacity (1700 J/kg·K),
- \( \Delta T \) is the temperature change in Kelvin (K), which is missing.

Since we don't know \( \Delta T \), let's assume the heater supplies all of the energy in the form of heat. To find the power (\( P \)), we can rearrange the formula for power:

\[
P = \frac{Q}{t}
\]

where:
- \( P \) is the power in watts (W),
- \( Q \) is the energy (which is \( mc\Delta T \)),
- \( t \) is the time in seconds (9 hours = 9 × 3600 seconds = 32,400 seconds).

We can solve this equation if you provide the temperature change \( \Delta T \), as it's essential to calculate the thermal energy.

Would you like to proceed with an assumption, or can you provide the temperature change?

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Here are some relative questions:
1. How much energy is needed if the temperature change is known?
2. What if the heater operates for a different duration?
3. What is the role of specific heat capacity in this context?
4. How does changing the mass of bricks affect the energy needed?
5. How would power requirements change for different materials?

**Tip**: Always ensure the units are consistent when calculating energy, power, or time.

The total mass of bricks in a storage heater is 100kg. The bricks have a specific heat capacity of 1700 J/kg·K. If the heater was on for 9 hours, what power was supplied?

Learn how to calculate the power supplied to a storage heater with a mass of 100kg and a specific heat capacity of 1700 J/kg·K. This physics problem explores thermodynamics concepts and energy calculations, requiring knowledge of heat energy, specific heat capacity, and power. Suitable for high school students in Grades 10-12.

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