Question

The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimeters at a pressure of 8 pounds, find the pressure when the volume is 60 cubic centimeters
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Answer 1

Answer:

According to the problem statement:

Volume of gas (V) and pressure (P) are inversely proportional, which means V is inversely proportional to 1/P, or V * P = k

(where k is a constant)

The temperature is constant

Using the given values, we can find the value of k as follows:

V1 * P1 = V2 * P2

32 * 8 = V2 * P2

256 = V2 * P2

Now, we can use the above equation to find the pressure (P2) when the volume (V2) is 60 cubic centimeters:

V2 * P2 = 256

60 * P2 = 256

P2 = 256/60

P2 = 4.27 pounds (rounded to two decimal places)

Therefore, when the volume of gas is 60 cubic centimeters, the pressure in the container is 4.27 pounds.

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