How much heat is required to raise the temperature of 25g of water from 25.0°C to 30.0°C? The specific heat of water is 4.184J/g°C.

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**Question:**

How much heat is required to raise the temperature of 25g of water from 25.0°C to 30.0°C? The specific heat of water is 4.184J/g°C.

**Explanation:**

To determine the amount of heat (Q) required to raise the temperature of a substance, you can use the specific heat formula:

\[ Q = mc\Delta T \]

Where:
- \( Q \) is the heat added (in Joules, J)
- \( m \) is the mass of the water (in grams, g)
- \( c \) is the specific heat capacity (in Joules per gram per degree Celsius, J/g°C)
- \( \Delta T \) is the change in temperature (in degrees Celsius, °C)

In this problem:
- The mass \( m \) is 25g
- The specific heat capacity \( c \) of water is 4.184J/g°C
- The change in temperature \( \Delta T \) is \( 30.0°C - 25.0°C = 5.0°C \)

By substituting these values into the formula, we get:

\[ Q = 25 \text{g} \times 4.184 \text{J/g°C} \times 5.0°C \]
\[ Q = 523 \text{J} \]

Therefore, the heat required to raise the temperature of 25g of water from 25.0°C to 30.0°C is 523 Joules.
Transcribed Image Text:**Question:** How much heat is required to raise the temperature of 25g of water from 25.0°C to 30.0°C? The specific heat of water is 4.184J/g°C. **Explanation:** To determine the amount of heat (Q) required to raise the temperature of a substance, you can use the specific heat formula: \[ Q = mc\Delta T \] Where: - \( Q \) is the heat added (in Joules, J) - \( m \) is the mass of the water (in grams, g) - \( c \) is the specific heat capacity (in Joules per gram per degree Celsius, J/g°C) - \( \Delta T \) is the change in temperature (in degrees Celsius, °C) In this problem: - The mass \( m \) is 25g - The specific heat capacity \( c \) of water is 4.184J/g°C - The change in temperature \( \Delta T \) is \( 30.0°C - 25.0°C = 5.0°C \) By substituting these values into the formula, we get: \[ Q = 25 \text{g} \times 4.184 \text{J/g°C} \times 5.0°C \] \[ Q = 523 \text{J} \] Therefore, the heat required to raise the temperature of 25g of water from 25.0°C to 30.0°C is 523 Joules.
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