In a fully surfaced submarine, a certain amount of air at temperature T1 is compressed into a tank of volume V at pressure p1 . As this submarine dives deeply, the temperature of the compressed air drops substantially to T2 , whereas the pressure becomes p2 .
(a) If the submarine needs to surface now, how much water in volume can be blown out of the ballast tanks by compressed air? Assume that the compressed air can be regarded as an ideal gas all the time. [Hint: The key is to find out the volume V2 , of the compressed air when the submarine is in deep water using the equation of state.]
(b) Use the result obtained from the preceding part to determine whether p2 < p1 , p2 = p1 , p2 > p1 . Explain why.
1 answer
a. V2 = T2/T1 * P1/P2 * V1.
1 answer