The volume of gas varies inversely as the pressure. A volume of gas is 120 cubic feet under 6 pounds of pressure. What is the volume at the same temperature when the pressure is 8 pounds?

The volume of gas is 80 cubic feet at the same temperature when the pressure is 8 pounds.

Step-by-step explanation:

The given is,

                Volume of gas is 120 cubic feet under 6 pounds of pressure.

                Volume of gas varies inversely as the pressure.

                Pressure is 8 pounds

Step:1

               From the given,

               Volume of gas varies inversely as the pressure,

                                   ∝  .......................................(1)

               Ratio of volume to pressure of gas is,

                                                = = 20

Step:2

              Pressure of gas is increased 6 to 8 pounds,

              Change in pressure = 8 - 6 = 2 pounds

              Change in volume = Ratio × change in pressure

                                              = 20 × 2 = 40 cubic feet

Step:3

             From the equation (1),

             The pressure is increased, the volume of gas is reduced.

             Volume of gas at pressure of 8 pounds = 120 - 40

                                                                                = 80 cubic feet

Result:

             The volume of gas is 80 cubic feet at the same temperature when the pressure is 8 pounds.

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