# 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: