Answer:
The new volume is [tex]198.62\ cm^3[/tex].
Step-by-step explanation:
We are given with the volume of a gas varies inversely as the pressure upon it.
Initial volume is 160 cubic centimetres and initial pressure is 108 Pa. It is required to find the volume when the pressure is 87 centimetres.
According to given condition,
[tex]V\propto \dfrac{1}{P}[/tex]
[tex]P_1V_1=P_2V_2[/tex]
[tex]V_2[/tex] is new volume
[tex]V_2=\dfrac{P_1V_1}{P_1}\\\\V_2=\dfrac{160\times 108}{87}\\\\V_2=198.62\ cm^3[/tex]
So, the new volume is [tex]198.62\ cm^3[/tex].
