Step 1:
Surface tension is a property of liquids caused by cohesive forces between molecules at the surface, which creates a net inward force making the surface behave like a stretched membrane.
\[ T = \frac{F}{l} \]
Step 2:
Soap acts as a surfactant. When soap is added to water, its hydrophobic tails disrupt the hydrogen bonding and cohesive forces between water molecules at the surface.
\[ T_{\text{soap solution<T_{\text{pure water \]
Step 3:
Spraying water involves creating many tiny droplets, which significantly increases the total surface area of the liquid. The work required to increase the surface area is given by:
\[ W = T \times \Delta A \]
Step 4:
By decreasing the surface tension ($T$), the amount of energy or work ($W$) required to create those droplets is reduced, making the process of spraying much easier.