Answer:
42 pounds per square inches.
Step-by-step explanation:
The temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas.
ā [tex]V\propto \dfrac{1}{P}[/tex]
or
[tex]V_1P_1=V_2P_2[/tex]
Volume, Vā = 183 cubic inches
Pressure, Pā = 14 pounds/square inch
We need to find the new pressure if the volume is decreased to 61 cubic inches. Let Pā is new pressure. So,
[tex]P_2=\dfrac{V_1P_1}{V_2}\\\\P_2=\dfrac{183\times 14}{61}\\\\P_2=42\ \text{pounds per square inch}[/tex]
Hence, the final pressure is 42 pounds per square inches.
