A sample of nitrogen gas has a volume of 15mL at a pressure of 0.50 atm. What is the pressure if the volume is changed to 30.0mL?

1 Answer
Aug 12, 2016

Answer:

That sample of gas has a new pressure of #0.25 atm#

Explanation:

The answer can be determined by using Boyle's Law:
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Let's identify our known and unknown variables.

#color(brown)("Knowns:"#
#P_1#= 0.50 atm
#V_1#= 15 mL
#V_2#= 30.0 mL

#color(blue)("Unknowns:"#
#P_2#

Rearrange the equation to solve for the final pressure by dividing both sides by #V_2# to get #P_2# by itself like this:

#P_2=(P_1xxV_1)/V_2#

Plug in your given values to obtain the final pressure:

#P_2=(0.50\atm xx 15\ cancel"mL")/(30.0\cancel"mL")# = #0.25 atm#