The value of the volume of the gas, when the pressure is increased to 40 psi is 450 in³.
At the fixed amount of gas when the temperature remains constant is inversely proportional to its pressure.
[tex]p=\dfrac{1}{v}\times C\\C=pv[/tex]
Here, (p) is the pressure, (v) is the volume and (C) is the constant.
At a pressure of 30 pounds per square inch (psi), a gas has a volume of 600 in³.
[tex]C=600\times30\\C=18000[/tex]
Now the pressure is increased to 40 psi. Let suppose the volume at this position is v in³.
[tex]C=x\times40\\18000=40v\\v=\dfrac{18000}{40}\\v=450\rm \;in^3[/tex]
Thus, the value of the volume of the gas, when the pressure is increased to 40 psi is 450 in³.
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