An oil well is drilled in the atlantic ocean, where the water depth is 350 meters.
a) Suppose methane gas forms a bubble in the drilling pipe, near the ocean floor with 1 (m^3) volume and temperature 2 C. What is the pressure in Pascals at this point?
b) Since the initial temperature is much higher than the critical point, it can be treated as an ideal gas, with (PV)^gamma= k, (k is a constant). gamma= (Cp/Cv) ~ 1.3 and STP gas density p=0.7 (Kg/m^3) for methane. Neglecting the possibility of chemical interactions and kinetic energy effects, if the bubble rises quickly to the surface (P= 1.01*10^5 Pa), calculate the volume in cubic meters of the gas bubble
c) What is the temperature in Kelvin assuming an adiabatic expansion of an ideal gas. Comment as to the extent to which the adiabatic expansion modle is valid for this situation (how accurate would you guess the calculation is?)