Answer to Question #100508 in Molecular Physics | Thermodynamics for Harsha

Question

m3 of air are stored at a pressure of 8105 N/m2. What would be the volume of the air at a pressure of 105 N/m2 if the temperature were unchanged

Answer 1

As in the question initial volume is missing so we assume it as 1 m³

PV=nRT

if the temperature is kept constant then PV= constant which is boyle's law

P₁V₁=P₂V₂

substituting the values in the equation

$\implies$ 1.8.10⁵ = V₂.10⁵

$\implies$ V₂ = 8m³

Volume of the air at pressure of 10⁵ N/m² is 8m³