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The volume of a gas in a container at a constant temperature varies inversely as the pressure. The volume is 25 cubic centimeter at a pressure of 11 pounds. Use a proportion to find the pressure when the volume is 59 cubic centimeters.

Answer :

Answer:

Pressure would be approximately 4.66 pounds.

Step-by-step explanation:

Given:

Volume of gas (V) = 25 cubic cm

Pressure of the  gas (P) = 11 pounds

We need to find the pressure when volume is 59 cubic cm.

Solution:

Now Given:

[tex]V[/tex] ∝ [tex]\frac{1}{P}[/tex]

so we can say that;

[tex]V =\frac kP[/tex]

where k is a constant.

When V = 25 cubic cm, P =11 pounds.

[tex]25 = \frac{k}{11}\\\\k= 25\times 11 = 275\ cm^3.pounds[/tex]

So the equation becomes as.

[tex]V = \frac{275}{P}[/tex]

Now we need to find the pressure when Volume is 59 cubic cm.

[tex]59 =\frac{275}{P}\\\\P=\frac{275}{59}\\\\P\approx 4.66\ pounds[/tex]

Hence Pressure would be approximately 4.66 pounds.

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