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The volume of gas kept at a constant pressure varies inversely with the temperature T. If the temperature is 50 degrees, the volume is 20 cubic feet. What will the volume be when the temperature is 100 degrees?


V=


T=

Solution? Round answer to nearest tenth (just the number, do not type cm)

Respuesta :

MrRoyal

Variation can be direct, inverse or joint

The volume when the temperature is 100 degrees is 10 cubic feet

How to determine the new volume

The variation is an inverse variation.

So, we have the following variation equation

[tex]V_1 * T_1 = V_2 * T_2[/tex]

Substitute values for the initial volume and the initial temperature

[tex]20* 50 = V_2 * T_2[/tex]

Substitute value for the final temperature

[tex]20* 50 = V_2 * 100[/tex]

Divide both sides by 100

[tex]10 = V_2[/tex]

Rewrite as:

[tex]V_2 = 10[/tex]

Hence, the new volume is 10 cubic feet

Read more about variation at:

https://brainly.com/question/6499629

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