Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.

# What does Boyle's Law state?

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: ##P_1=##initial pressure ##V_1=##initial volume ##P_2=##final pressure ##V_2=##final volume

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 ##color(red)("same")## factor.

Similarly, if the volume was **increased** by a factor, the pressure would **decrease** by the ##color(red)("same")## factor.

For example, if the initial pressure was ##color(blue)2## ##color(blue)(atm)##, the initial volume was ##color(blue)4## ##color(blue)L##, and the pressure decreased by a factor of ##color(blue)(1/2)##, the volume would increase by a factor of ##color(blue)2##.

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 ##4## ##L## to ##8## ##L##.

Graphically, the relationship between pressure and volume can be represented as: