Question

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg

Answer 1

Answer:

V₂ = 450 cm³

Step-by-step explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

$V\propto \dfrac{1}{P}$

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

$V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3$

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters