Solve the problem.
-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 204 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 68 cubic inches.
A) 39 pounds per square inch
B) 28 pounds per square inch
C) 42 pounds per square inch
D) $$\frac { 34 } { 7 }$$
Pounds per square inch

Question

Quizplus · Accepted Answer

Since the volume of a gas is inversely proportional to the pressure when the temperature is constant (Boyle's Law), we can set up the equation $P_1V_1 = P_2V_2$, where $P_1$ and $V_1$ are the initial pressure and volume, and $P_2$ and $V_2$ are the final pressure and volume. Plugging in the given values, $14 \times 204 = P_2 \times 68$. Solving for $P_2$ gives $P_2 = \frac{14 \times 204}{68} = 42$ pounds per square inch.

Solve the Problem 347\frac { 34 } { 7 }734​ Pounds Per Square Inch

Solve the Problem $\frac { 34 } { 7 }$ Pounds Per Square Inch