A 2 mm diameter, spherical air bubble is suspended in an insulating fluid . with a focused laser, the bubble is heated so that the bubble radius increases by 90% . For spherical bubble the pressure difference between the bubble and surrounding fluid is given by delta P = 2s/r , where s is the interfacial tension and r is the radius of the bubble . assuming the interfacial tension is constant at 0.70 N/m, the initial bubble temperature is 300K, and the surrounding fluid has a pressure of 100 kPa calculate (a) the mass of the bubble , (b) the final temperature of the bubble ,(c) the work done by the gas , and(d) the laser energy required to perform the expansion.
Additionally , is this is a realistic scenario?? Why? What assumption are most likely to fail? Note the volume of the bubble is related to the radius by V=(4/3)pr3