The pressure change (dP / dt), in Pascals per second in a water pipe, is inversely proportional to the square root of "t", where "t" is time in seconds. When the tap is closed, it is considered that there is no pressure in the pipe and when the tap is opened and a second elapses, the pressure is 2 Pascals. Determine the pressure 9 seconds after opening the tap.

Asquare isothermal chip is of width w=5 mm on a side and is mounted in a substrate such that its side and back surfaces are well insulated; the front surface is exposed to the flow of a coolant at tinf=15 °c. from reliability considerations, the chip temperature must not exceed t=85 °c. if the coolant is air and the corresponding convection coefficient is h=200 w/m2 x k, what is the maximum allowable "power" of the chip? if the coolant is a liquid for which h=3000 w/m2 x k, what is the maximum allowable power of the chip?