Answer to Question #120354 in Molecular Physics | Thermodynamics for usman

Question

under a pressure of 14nm-2, some air has a volume of 1.5m3. determine its volume when its pressure is 10nm-2. assuming the temperature is kept constant

Answer 1

Given data

Initial pressure is $P_1=14 N/m^2$

Final pressure is $P_2=10 N/m^2$

Initial volume is $V_1=1.5 m^3$

According to Boyle's law,

$P_1V_1=P_2V_2$

The final volume is

$V_2=\frac{P_1V_1}{P_2}=\frac{(14 N/m^2)(1.5 m^3)}{10 N/m^2}=2.1 m^3$