A beaker of water is heated by burning a specific quantity of fuel below it. 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 = 4200 J/kg °C)change in thermal energy = mass of water × specific heat capacity of water × temperature change
Question
A beaker of water is heated by burning a specific quantity of fuel below it. 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 = 4200 J/kg °C)change in thermal energy = mass of water × specific heat capacity of water × temperature change
Solution
To calculate the energy released by the burning fuel, we can use the formula for change in thermal energy:
Change in thermal energy = mass of water × specific heat capacity of water × temperature change
Given:
- Mass of water (m) = 100g = 0.1 kg (since 1g = 0.001 kg)
- Specific heat capacity of water (c) = 4200 J/kg °C
- Temperature change (ΔT) = 20°C
Substituting these values into the formula, we get:
Change in thermal energy = 0.1 kg × 4200 J/kg °C × 20°C
Change in thermal energy = 8400 J
Therefore, the energy released by the burning fuel is 8400 Joules.
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