Units for specific heat capacity of a substance are

Options

A. `"cal/g/" ""^(@)C`
B. `"cal g/" ""^@ C`
C. cal/g
D. cal/`""^(@)C`

Explanation

To determine the units for specific heat capacity of a substance, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Specific Heat Capacity**:
- Specific heat capacity is defined as the amount of heat required to raise the temperature of a unit mass of a substance by 1 degree Celsius.

2. **Identify the Components of the Definition**:
- The key components are:
- Amount of heat (measured in calories)
- Unit mass (typically measured in grams)
- Temperature change (measured in degrees Celsius)

3. **Combine the Units**:
- From the definition, we can see that specific heat capacity is expressed as:
\[ \text{Specific Heat Capacity} = \frac{\text{Heat (calories)}}{\text{Mass (grams)} \times \text{Temperature Change (degrees Celsius)}} \]

4. **Write the Units**:
- Therefore, the units for specific heat capacity can be expressed as:
\[ \text{Units} = \frac{\text{calories}}{\text{grams} \times \text{degrees Celsius}} = \text{calorie per gram per degree Celsius} \]

5. **Select the Correct Option**:
- Based on the options provided:
- Option 1: calorie per gram per degree Celsius
- Option 2: calorie per gram per degree Celsius (same as option 1)
- Option 3: calorie per gram
- Option 4: calorie per degree Celsius
- The correct answer is **Option 1** (or Option 2, since they are the same).

### Final Answer:
The units for specific heat capacity of a substance are **calorie per gram per degree Celsius**.

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