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Ksenya-84 [330]
3 years ago
8

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.
Mathematics
1 answer:
erica [24]3 years ago
6 0

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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