To calculate the thermal energy required to raise the temperature of water, you can use the formula:
\[ Q = mc\Delta T \]
where:
- \( Q \) is the thermal energy in joules (J),
- \( m \) is the mass of the water in grams (g),
- \( c \) is the specific heat capacity of water (approximately \( 4.18 , \text{J/g°C} \) for water),
- \( \Delta T \) is the change in temperature in degrees Celsius (°C).
Given:
- \( m = 10.0 , \text{g} \)
- \( c = 4.18 , \text{J/g°C} \)
- \( \Delta T = 15.0 , \text{°C} \)
Now, plug the values into the equation:
\[ Q = (10.0 , \text{g}) \times (4.18 , \text{J/g°C}) \times (15.0 , \text{°C}) \]
Calculating:
\[ Q = 10.0 \times 4.18 \times 15.0 \] \[ Q = 627.0 , \text{J} \]
So, the thermal energy needed to raise the temperature of 10.0 g of water by 15.0 °C is 627.0 joules.
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