Answer to Question #197465 in Inorganic Chemistry for Tolu

Question

The pressure applied by a boy on a bicycle pump was 2 Pascal. If the volume was increased to 2/3 the initial volume. Calculate the final pressure.

Answer 1

Initial pressure, $P_1=2\space Pa$

Initial volume, $V_1=V$

Final pressure, $P_2=P$

Final Volume, $V_2=V+\dfrac{2}{3}V=\dfrac{5}{3}V$

$P_1V_1=P_2V_2$

$P=\dfrac{P_1V_1}{V_2}=\dfrac{2\times V}{\dfrac{5}{3}V}$

$P=1.2\space Pa$