Question

The volume of a gas in a container varies inversely as the pressure on the gas. If a gas has a volume of 208 cubic inches under a pressure of 4 pounds per square inch, what will be its volume if the pressure is increased to 5 pounds per square inch? Round your answer to the nearest integer if necessary.

please i need help asap

Answer 1

• 166.4 in³

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Inverse variation equation:

• y = k/x, where k - constant

We have:

• V = k/P, where V - volume, P - pressure

Substitute initial values and find the value of k:

• 208 = k/4
• k = 208*4
• k = 832

The equation now becomes:

• V = 832/P

Find the value of V when P = 5:

• V = 832/5
• V = 166.4

Hence the answer is 166.4 in³.