3. Magnetic susceptibility of a gas dissolved in liquid can be measured with a capillary viscometer in a magnetic field, H. The capillary is 1 m long, with a radius of 0.5 mm. (a) Write the balance of forces acting on the fluid in this system. Solve for the volumetric flow rate. The magnetic force acting on the fluid is F = (KHO + SKGas) AH, where A is the cross-section area and K is the volume magnetic susceptibility. [3] (b) Experiments find the difference between the volumetric flow rate for nitric oxide (NO) dissolved in water and pure water depends on H according to: VH0 - VH0+NO = -4.73 10-H. Calculate the volume magnetic susceptibility of NO. The solubility of NO in water is SNO = 0.0418 cm NO cm HO. [4]