Respuesta :
The mass of the piece of copper, to the nearest whole number is 121 grams.
Given the following data:
- Specific heat capacity of copper = 0.385 J/g°C
- Initial temperature = 150.0°C
- Final temperature = 225.0°C
- Quantity of heat = 3,500 Joules
To calculate the mass of the piece of copper, to the nearest whole number:
Mathematically, quantity of heat is given by the formula;
[tex]Q = mc\theta[/tex]
Where:
- Q represents the quantity of heat.
- m represents the mass of an object.
- c represents the specific heat capacity.
- [tex]\theta[/tex] represents the change in temperature.
Making "m" the subject of formula, we have:
[tex]m = \frac{Q}{c\theta}[/tex]
Substituting the given parameters into the formula, we have;
[tex]m = \frac{3500}{0.385(225-150)}\\\\m = \frac{3500}{0.385 \times 75} \\\\m = \frac{3500}{28.875}[/tex]
Mass, m = 121.21 ≈ 121 grams
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