Heat capacity `(C_(p))` is an extensive property but specific heat (c) is intensive property. What will be the relation between `C_(p) " and " c` for 1 mole of water ?

Explanation

To find the relation between heat capacity \( C_p \) and specific heat \( c \) for 1 mole of water, we can follow these steps:

### Step 1: Understand the Definitions
- **Heat Capacity (\( C_p \))**: This is an extensive property, meaning it depends on the amount of substance present. It is the amount of heat required to raise the temperature of a substance by 1 Kelvin (or 1 degree Celsius).
- **Specific Heat (\( c \))**: This is an intensive property, meaning it is independent of the amount of substance. It is defined as the amount of heat required to raise the temperature of 1 gram of a substance by 1 Kelvin (or 1 degree Celsius).

### Step 2: Establish the Relationship
The relationship between heat capacity \( C_p \) and specific heat \( c \) can be expressed as:
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