Respuesta :
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.
[tex]V\propto \frac{1}{P}[/tex]
We can rewrite the above equation is
[tex]\frac{V_1}{V_2}=\frac{P_2}{P_1}[/tex] [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,
[tex]V_1[/tex]= 93 cubic inches, [tex]P_1[/tex] = 14 pounds per square inches,
[tex]V_2[/tex]=31 cubic inches, [tex]P_2[/tex] = ?
[tex]\frac{V_1}{V_2}=\frac{P_2}{P_1}[/tex]
[tex]\Rightarrow \frac{93}{31}=\frac{P_2}{14}[/tex]
[tex]\Rightarrow \frac{P_2}{14}=\frac{93}{31}[/tex]
[tex]\Rightarrow {P_2}=\frac{93}{31}\times 14[/tex]
[tex]\Rightarrow {P_2}=42[/tex] pounds per square inches
The new pressure of the gas is 42 pounds per square inches.
