Given that the pressure "P" on the quantity of a gas in a container varies inversely to its volume "V" i.e. P ∝ 1/v. When the pressure on the gas is 10 N/m², it's volume is 25 m³. The value of pressure when the volume is 20 m³ will be _____?
Given that the pressure "P" on the quantity of a gas in a container varies inversely to its volume "V" i.e. P ∝ 1/v. When the pressure on the gas is 10 N/m², it's volume is 25 m³. The value of pressure when the volume is 20 m³ will be _____?
Explanation
Since P ∝ 1/V, it means P × V = constant.
So, 10 × 25 = P × 20
Solving:
250 = 20P ⇒ P = 12.5 N/m²