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The volume of a gas in a container at a constant temperature varies inversely as the pressure. The volume is 23 cubic centimeters at a pressure of 9 pounds. Use a
proportion to find the pressure when the volume is 44 cubic centimeters.
pounds.

Respuesta :

calculista

Answer:

[tex]4.70\ lb/cm^2[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]yx=k[/tex] or [tex]y=k/x[/tex]

Let

y -----> the volume of a gas in cubic centimeters

x ----> the pressure in lb/cm^2

we have

For y=23, x=9

Find the value of k

[tex]k=yx[/tex] -----> [tex]k=23(9)=207[/tex]

so

The equation that represent the proportion is

[tex]yx=207[/tex]

For y=44

substitute in the equation and solve for x

[tex]44x=207[/tex]

[tex]x=4.70\ lb/cm^2[/tex]

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