For a fixed amount of a gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. At a pressure of 30 pounds per square inch (psi), a gas has a volume of 600 in. 3. Which function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi?

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Mathematics

Anya Flowers

29 November, 20:09

For a fixed amount of a gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. At a pressure of 30 pounds per square inch (psi), a gas has a volume of 600 in. 3. Which function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi?

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Douglas Wilkins · Answer 1

Inversely proportional - - - > denominator:

P = P_reference * V_reference/V, or P = 30*600/V = 18,000/V, where V is in cubic inch and P is in pounds per square inch.

As the volume gets greater, the P gets smaller, ...