The volume, v, of a certain gas varies inversely with the amount of pressure, p, placed on it. The volume of this gas is 175cm3 when 3.2cm2 of pressure is placed on it. What amount of pressure must be placed on 400cm3 of this gas?

Question

Mathematics

Jason Riggs

29 December, 19:22

The volume, v, of a certain gas varies inversely with the amount of pressure, p, placed on it. The volume of this gas is 175cm3 when 3.2cm2 of pressure is placed on it. What amount of pressure must be placed on 400cm3 of this gas?

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Answers (2)

Know the Answer?

Elianna Rubio · Answer 1

Do you need an equation or the answer?

Hugo Maynard · Answer 2

V varies inverly as p is

v=k/p where k is a constant

given

v=175 and p=3.2

find k

175=k/3.2

times both sides by 3.2

560=k

v=560/p

for v=400, find p

400=560/p

times both sides by p

400p=560

divide both sides by 400

p=1.4

answer is 1.4cm² of pressure