The volume of a 100 cu ft air tank at 45 psig is put in a 30 cu ft air tank. What is the gauge pressure in the 30 cu ft air tank?
To find the gauge pressure in the 30 cu ft air tank, you need to use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when temperature is constant.
Boyle's Law equation:
P1 * V1 = P2 * V2
Where:
P1 = Initial pressure (in this case, 45 psig)
V1 = Initial volume (in this case, 100 cu ft)
P2 = Final pressure (what we're trying to find)
V2 = Final volume (in this case, 30 cu ft)
Rearranging the equation to solve for P2:
P2 = (P1 * V1) / V2
Now, simply substitute the known values into the equation:
P2 = (45 psig * 100 cu ft) / 30 cu ft
P2 = 150 psig
Therefore, the gauge pressure in the 30 cu ft air tank is 150 psig.