hellium gas is added to a balloon already partially filled with helium gas.why does the balloon inflate?

The balloon inflates when more helium gas is added because the added helium gas particles increase the pressure inside the balloon. The helium gas particles move randomly and constantly collide with the inner walls of the balloon, exerting force on the walls. As more gas particles are added, the number of collisions with the walls and the force exerted on them increases, causing the balloon to expand. Since helium gas is lighter than air, the increased pressure inside the balloon causes it to inflate and also makes it buoyant in air.

The balloon inflates when helium gas is added to it due to a principle called the ideal gas law and the concept of partial pressure.

When helium gas is added to the balloon, it increases the number of gas particles inside the balloon. According to the ideal gas law, the pressure exerted by a gas is directly proportional to the number of gas particles present. So, when more helium gas is added, the total pressure inside the balloon increases.

Additionally, the concept of partial pressure comes into play. Partial pressure refers to the pressure exerted by an individual gas component in a mixture of gases. In this case, the original partially filled balloon contains a mixture of helium gas and air (which includes other gases like nitrogen and oxygen). When more helium gas is added, it increases the partial pressure of helium inside the balloon, which in turn increases the total pressure.

As a result, the increased pressure inside the balloon forces it to expand and inflate, as it tries to equalize the pressure inside and outside of the balloon.

The balloon inflates when helium gas is added because of the principle of buoyancy. Buoyancy is the upward force exerted on an object immersed in a fluid (in this case, the gas inside the balloon) due to the difference in density between the object and the fluid.

Helium gas is less dense than the surrounding air, which means that it has a lower mass per unit volume. When more helium gas is added to the balloon, the overall density of the gas inside the balloon decreases further. This creates a density imbalance between the gas inside the balloon and the surrounding air, causing the balloon to experience an upward force that exceeds its weight, resulting in inflation.

To calculate the buoyant force, you need to know the densities of the balloon gas and the surrounding air, as well as the volume of the balloon. The buoyant force can be obtained using the equation:

Buoyant Force = (Density of Fluid) x (Volume of Displaced Fluid) x (Acceleration due to Gravity)

The volume of the displaced fluid is equivalent to the volume of the balloon, and the density of the fluid is the density of the surrounding air. By comparing the buoyant force to the weight of the balloon, you can determine whether the balloon will float or sink. In this case, when helium gas is added, the buoyant force exceeds the weight of the balloon, causing it to inflate.