Direct and inverse proportions

Question

The pressure, P pascals, of a fixed mass of gas at constant temperature is inversely proportional to the volume, 7m³ of the gas. The pressure of 2 m³ of gas in an airtight container is 500 pascals. Assuming that the temperature in the container is constant, calculate the pressure of the gas when its volume is 5m³

Answer 1

Hi Bao,

Your Question: The pressure, P pascals, of a fixed mass of gas at constant temperature is inversely proportional to the volume, m³ of the gas. The pressure of 2 m³ of gas in an airtight container is 500 pascals. Assuming that the temperature in the container is constant, calculate the pressure of the gas when its volume is 5m3

Given: Pressure is inversely proportional to Volume

When V of 2m³ P=500 pascals

T is constant

Find: Pressure when V=5m³

Since Pressure is inversely proportional to volume, this is the equation

P = k/V (K is the constant of proportionality)

P1 = k/V1 P2 = k / V2

P1 V1 = k P2 V2 = k

P1 V1 = P2 V2 becomes your formula

500 pascals * 2m³ = P2 * 5m³

P 2 = 500*2/5 = 200 pascals.

Hope this helps!