John is setting up his new gaming PC, however he is worried about it overheating. He finds that the rate of heat loss (H), in W, that his cooling system can generate depends on the speed (V) and surface area (A) of his fans and the density of his coolant (rho).
A) Using the information provide above, determine the simplest expression that John can use to determine the rate of heat loss that his cooling system can generate.
B) After an initial test run John determines that his cooling system generates 45 W of heat loss. Calculate the amount of heat loss (H2), in W, that Mike expects his pump to do if its fan speed were 4.5 times greater and the coolant density was 2.5 times smaller.
C) If Mike wanted to reduce his fan speed by a factor of 3.1 in order to have his PC run silently, yet keep it dissipating the same amount of heat, by what factor (B) would he have to increase the surface area of his fans?