Respuesta :
Answer:
9 pounds per square inch
Step-by-step explanation:
Let V = the gas' volume and P = its pressure. Β The volume of a gas in a container varies inversely with the pressure on the gas:
Β Β V = k/P
where Β k is a constant. Β To find the value of k, plug in the one known point, V = 390 cubic inches when P = 7 pounds per square inch and solve for k:
Β Β V = k/p
Β Β 390 = k/7
Β Β 390*7 = k
Β Β 2730 = k
The full equation, then, is:
Β Β V = 2730/P
To find the volume when P = 9 pounds per square inch:
Β Β V = 2730/9 = _____ cubic inches
Answer:
The volume of the gas will be 138 cubic inches the pressure is increased to 5 pounds per square inch.
Step-by-step explanation:
Given: Volume of a gas in a container is inversely proportional to the pressure on the gas.
[tex]Volume(V)\propto \frac{1}{Pressure(P)}[/tex]
[tex]PV=constant[/tex]
[tex]P_1V_1=P_2V_2[/tex]
Given :
[tex]P_1=4 pounds/inch^2,V_1=173 inches^3[/tex]
[tex]P_2=5 pounds/inch^2,V_2=?[/tex]
[tex]P_1V_1=P_2V_2[/tex]
[tex]V_2=\frac{P_1V_1}{P_2}[/tex]
[tex]=\frac{4 pounds/inch^2\times 173 inches^3}{5 pounds/inch^2}[/tex]
[tex]V_2=138.4 inch^3\approx 138 inch^3[/tex]
The volume of the gas will be 138 cubic inches the pressure is increased to 5 pounds per square inch.
