Answer :
The quantity of heat gained to raise the temperature from 25.0°C to 50.0°C is 10,450 Joules.
Given the following data:
- Mass of water = 100 grams
- Initial temperature = 25.0°C
- Final temperature of water = 50.0°C
- Specific heat capacity of water = 4.18 J/g°C
To find the quantity of heat gained:
Mathematically, heat capacity or quantity of heat is given by the formula;
[tex]Q = mc\theta[/tex]
Where:
- Q represents the heat capacity or quantity of heat.
- m represents the mass of an object.
- c represents the specific heat capacity.
- ∅ represents the change in temperature.
Substituting the values into the formula, we have:
[tex]Q = 100(4.18)(50 - 25)\\\\Q = 418(25)[/tex]
Quantity of heat = 10,450 Joules.
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