(a) Figure 6 shows helium gas inside a container - Edexcel - GCSE Physics - Question 3 - 2022 - Paper 1

The particles of helium gas are in random motion. They collide with the sides of the container, transferring momentum during each collision. These frequent collisions result in an exerted force on the container's walls.

Using the equation $P_1 V_1 = P_2 V_2$, we can substitute the known values:

$105 imes 2.3 = P_2 imes 0.20$

This simplifies to:

$P_2 = \frac{105 \times 2.3}{0.20} = 1207.5 \text{ kPa}$

Rounding this value, we find that $P_2 \approx 1200 \text{ kPa}$.

The shop claims that the gas can fill at least 30 party balloons. The volume of 30 balloons is $30 \times 0.07 \text{ m³} = 2.1 \text{ m³}$. Since the total volume available at a pressure of 105 kPa is 2.3 m³, this supports the claim as 2.3 m³ is greater than 2.1 m³.