A square-shaped balloon has a side length L=0.25m, and its volume is given by V=L^3. It contains air at pressure 1.5 bar. The side length L increases to L=0.5m during heat transfer. During this process, the internal pressure p is found to be proportional to 1/L (as p*V^(1/3) = constant). The process takes place at ground level in a standard atmosphere at temperature T0=288K and pressure p0=1 bar.
(a) Determine the value for work done by the system of internal air on the balloon.
(b) Calculate the work done by the balloon during the process (atmospheric p0=1bar).
Work is done when a force is applied over a certain distance. When inflating a balloon, work is done by the person blowing into the balloon. The force applied by the person's breath over a certain distance causes the balloon to expand, which is considered as work being done.
The work done when inflating a balloon is positive. This is because the force applied by the person's breath is in the same direction as the displacement of the balloon. Positive work is done when the force and displacement are in the same direction.
Yes, the work done when inflating a balloon can depend on the type of gas used. Different types of gases have different compressibility and density, which can affect the amount of work required to inflate the balloon. For example, helium gas is less dense and more compressible than air, so it would require less work to inflate a balloon with helium compared to air.
The size of the balloon can affect the work done when inflating it. A larger balloon would require more work to inflate compared to a smaller balloon, as the person would need to apply a greater force over a longer distance to expand the larger balloon. However, the type of gas used and the elasticity of the balloon also play a role in the amount of work done.
Yes, the work done when inflating a balloon can be calculated using the formula W = F x d, where W is the work done, F is the force applied, and d is the distance over which the force is applied. The unit of work is joules (J). However, the calculation may not be accurate as it does not take into account factors like the elasticity of the balloon and the energy lost due to air resistance.