Question #9f08e
1 Answer
Boyle's Law states that pressure is indirectly proportional to volume when the temperature and moles of the gas are constant.
This relationship can be modelled by the equation:
#P_1V_1=P_2V_2#
where:
When pressure is indirectly proportional to volume, this means that
say, for example, if the pressure was increased by a factor, the volume would decrease by the
Similarly, if the volume was increased by a factor, the pressure would decrease by the
For example, if the initial pressure was
Algebraically, we can solve for the final volume using Boyle's Law formula, assuming that the temperature and moles of the gas are constant:
#P_1V_1=P_2V_2#
#(2atm)(4L)=(1atm)(V_2)#
#V_2=((2color(red)cancelcolor(black)(atm))(4L))/((1color(red)cancelcolor(black)(atm)))#
#V_2=8# #L#
Thus, the volume has increased from
Graphically, the relationship between pressure and volume can be represented as: