Determine the change in volume of 6 litres of alcohol if the pressure is decreased from 200 cm of Hg to 75 cm. [velocity of sound in alcohol is 1280 m/s, density of alcohol = 0.81 gm/c c, density of Hg `- 13.6 gm//c c` and `g = 9.81 m//s^(2)`]

Explanation

To solve the problem of determining the change in volume of 6 liters of alcohol when the pressure is decreased from 200 cm of Hg to 75 cm of Hg, we can follow these steps:

### Step 1: Understand the relationship between pressure and volume
According to the bulk modulus of a substance, the relationship between change in pressure (ΔP) and change in volume (ΔV) is given by:
\[ \beta = -\frac{ΔP}{\frac{ΔV}{V_1}} \]
Where:
...