When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 93 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 31 cubic inches.

The new pressure of the gas is 42 pounds per square inches.

Step-by-step explanation:

When the temperature remains constant, the volume of a gas is inversely proportional to the pressure of the gas.

We can rewrite the above equation is

 [at constant temperature]

At a pressure of 14 pounds per square inches, a balloon is filled with 93 cubic inches of gas.

The volume of the gas is decreased to 31 cubic inches.

Here,

= 93 cubic inches, = 14 pounds per square inches,

=31 cubic inches, = ?

pounds per square inches

The new pressure of the gas is 42 pounds per square inches.

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