The real coefficient of volume expansion of glycerine is `0.000597per^(@)C` and linear coefficient of expansion of glass is `0.000009par^(@)C` . Then the apparent volume coefficient of glycerine is

Explanation

To find the apparent volume coefficient of glycerine, we can use the relationship between the real coefficient of volume expansion of glycerine and the linear coefficient of expansion of glass. Here are the steps to solve the problem:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Real coefficient of volume expansion of glycerine, \( \beta_g = 0.000597 \, \text{per} \, ^\circ C \)
- Linear coefficient of expansion of glass, \( \alpha_{glass} = 0.000009 \, \text{per} \, ^\circ C \)

2. **Convert the Linear Coefficient of Glass to Volume Coefficient:**
- The volume expansion coefficient (\( \beta_{glass} \)) is related to the linear expansion coefficient (\( \alpha_{glass} \)) by the formula:
\[ \beta_{glass} = 3 \alpha_{glass} \]
- Substitute the value of \( \alpha_{glass} \):
\[ \beta_{glass} = 3 \times 0.000009 = 0.000027 \, \text{per} \, ^\circ C \]

3. **Calculate the Apparent Volume Coefficient of Glycerine:**
- The apparent volume coefficient of glycerine (\( \beta_{apparent} \)) can be calculated using the formula:
\[ \beta_{apparent} = \beta_g - \beta_{glass} \]
- Substitute the values:
\[ \beta_{apparent} = 0.000597 - 0.000027 \]

4. **Perform the Calculation:**
- Calculate the difference:
\[ \beta_{apparent} = 0.000570 \, \text{per} \, ^\circ C \]

5. **Final Result:**
- The apparent volume coefficient of glycerine is:
\[ \beta_{apparent} = 0.000570 \, \text{per} \, ^\circ C \]