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Varvara68 [4.7K]
3 years ago
5

When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is f

illed 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.
Mathematics
1 answer:
valkas [14]3 years ago
4 0

Answer:

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.

V\propto \frac{1}{P}

We can rewrite the above equation is

\frac{V_1}{V_2}=\frac{P_2}{P_1}  [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,

V_1= 93 cubic inches, P_1 = 14 pounds per square inches,

V_2=31 cubic inches, P_2 = ?

\frac{V_1}{V_2}=\frac{P_2}{P_1}

\Rightarrow \frac{93}{31}=\frac{P_2}{14}

\Rightarrow \frac{P_2}{14}=\frac{93}{31}

\Rightarrow {P_2}=\frac{93}{31}\times 14

\Rightarrow {P_2}=42 pounds per square inches

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

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