The formula shown below is used to calculate the energy released when a specific quantity of fuel is burned. Calculate the energy released by a burning sample of fuel if the temperature of 100g of water was raised by 20°C. (Specific heat capacity of water = 4,200J/kg °C)
Question
The formula shown below is used to calculate the energy released when a specific quantity of fuel is burned. Calculate the energy released by a burning sample of fuel if the temperature of 100g of water was raised by 20°C. (Specific heat capacity of water = 4,200J/kg °C)
Solution
The formula you're referring to wasn't provided in your question, but I assume you're referring to the formula for calculating heat energy, which is:
Q = mcΔT
where:
- Q is the heat energy,
- m is the mass of the substance (in this case, water),
- c is the specific heat capacity of the substance,
- ΔT is the change in temperature.
Given:
- m = 100g = 0.1kg (since 1g = 0.001kg),
- c = 4200J/kg°C (specific heat capacity of water),
- ΔT = 20°C.
Substituting these values into the formula, we get:
Q = 0.1kg * 4200J/kg°C * 20°C = 8400J.
So, the energy released by the burning sample of fuel is 8400 Joules.
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