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Report (any type)/Brief report
22/09/2021
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:
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I want to thank your team (Jeff) for finding a new writer when you were unable to reach my existing writer to revise my paper. I appreciate your professionalism and efforts. Thanks
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