SOLUTION: Problem is under Inverse and Joint variation. The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of

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Question 161606This question is from textbook college algebra
: Problem is under Inverse and Joint variation.
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic cnetimeters (cm3) when the pressure is 150 millimeter of mercury (mm Hg), find the volume when the pressure is 200 mm Hg. This question is from textbook college algebra

Found 2 solutions by ankor@dixie-net.com, jojo14344:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cm3) when the pressure is 150 millimeter of mercury (mm Hg), find the volume when the pressure is 200 mm Hg.
:
Using the first scenario find the constant (k)
k%2F150 = 600
k = 600 * 150
k = 90000
:
Find the volume when the pressure is 200
V = k%2FP
V = 90000%2F200
V = 450 cu cm

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

You can also use Boyles's Law Formula,
P%5B1%5DV%5B1%5D=P%5B2%5DV%5B2%5D
where,
Given ------- system%28P%5B1%5D=150mmHg%2CV%5B1%5D=600cc%2CP%5B2%5D=200mmHg%2CV%5B2%5D=x%29
Continuing,
%28150%29%28600%29=%28200%29%28V%5B2%5D%29
90000=200V%5B2%5D ----> cross%2890000%29450%2Fcross%28200%29=cross%28200%29V%5B2%5D%2Fcross%28200%29
V%5B2%5D=450cc ANSWER
Thank you,
Jojo