Question

how much thermal energy is needed to raise the temperature of 10.0g of water 15.0 celsius

Answer 1

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**.