The volume of a gas varies inversely as the pressure upon it. If the volume of the gas is 160 cubic centimeters at a pressure of 108 centime

Question

The volume of a gas varies inversely as the pressure upon it. If the volume of the gas is 160 cubic centimeters at a pressure of 108 centimeters, find the volume when the pressure is 87 centimeters. Round decimal answers to the tenths’ place.

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Gabriella 1 week 2021-09-07T21:58:22+00:00 1 Answer 0

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    2021-09-07T21:59:35+00:00

    Answer:

    The new volume is 198.62\ cm^3.        

    Step-by-step explanation:

    We are given with the volume of a gas varies inversely as the pressure upon it.

    Initial volume is 160 cubic centimetres and initial pressure is 108 Pa. It is required to find the volume when the pressure is 87 centimetres.

    According to given condition,

    V\propto \dfrac{1}{P}

    P_1V_1=P_2V_2

    V_2 is new volume

    V_2=\dfrac{P_1V_1}{P_1}\\\\V_2=\dfrac{160\times 108}{87}\\\\V_2=198.62\ cm^3

    So, the new volume is 198.62\ cm^3.

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45:7+7-4:2-5:5*4+35:2 =? ( )