Answer:
67 kPa
Explanation:
Given that,
Initial volume, V₁ = 25 cm³
Initial pressure, P₁ = 100 kPa
Final volume, V₂ = 15 cm³
We need to find the change in pressure of the gas. The relation between the volume and pressure of a gas is given by :
[tex]P\propto \dfrac{1}{V}\\\\\dfrac{P_1}{P_2}=\dfrac{V_2}{V_1}\\\\P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{100\times 25}{15}\\\\=166.66\ kPa[/tex]
or
= 167 kPa
The change in pressure,
= P₂ - P₁
= 167 kPa - 100 kPa
= 67 kPa
Hence, the correct option is (a).
