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The specific heat of water is...

The specific heat of water is

A

`1 "cal/g".^@C`

B

`"4.2 joule/g".^@C`

C

`"4200 joule/g".^@C`

D

all of the above

Text Solution

AI Generated Solution

The correct Answer is:
### Step-by-Step Solution: 1. **Understanding Specific Heat**: - Specific heat is defined as the amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius (or one Kelvin). - The formula for specific heat (c) can be expressed as: \[ c = \frac{Q}{m \cdot \Delta T} \] where \( Q \) is the heat added, \( m \) is the mass of the substance, and \( \Delta T \) is the change in temperature. 2. **Specific Heat of Water**: - The specific heat of water is a well-known value. It is commonly accepted that the specific heat of water is: \[ c = 1 \text{ calorie/g°C} \] - This means that to raise the temperature of 1 gram of water by 1 degree Celsius, 1 calorie of heat is required. 3. **Conversion to Joules**: - To convert calories to joules, we use the conversion factor: \[ 1 \text{ calorie} = 4.2 \text{ joules} \] - Therefore, the specific heat of water in joules is: \[ c = 1 \text{ calorie/g°C} = 4.2 \text{ joules/g°C} \] 4. **Final Answer**: - Hence, the specific heat of water can be expressed as: \[ c = 4.2 \text{ joules/g°C} \] ### Conclusion: The specific heat of water is **4.2 joules per gram per degree Celsius**. ---
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