Power Factor Correction
Apparently you have a inductive load to a AC power supply, and want to cancel the reactive part of the load by putting a capacitor accross it.  You mention values Rs and Rl, but since you provided no definition for these, we can't tell how they are hooked up and therefore their relevance.

However, if I understand the problem correctly, this is mostly about finding the capacitance that cancels the inductance.  From basic circuits you know that the impedance magnitude of a capacitance is 1/&omega;C, and for a inductance is &omega;L.  Setting these two equal and solving for C yields C = 1/&omega;&sup2;L = 1/(2&pi;f)&sup2;L = 880 &micro;F.