A fermenter is maintained at 35⁰C by water circulating at a rate of 0.5 kg s^-1 in a cooling coil inside the vessel. The inlet and outlet temperatures of the water are 8⁰C and 15⁰C respectively. The length of the cooling coil is increased by 50%. In order to maintain the same fermentation temperature, the rate of heat removal must be kept the same. Determine the new cooling-water flow rate and outlet temperature by carrying out the following calculations. The heat capacity of the cooling water can be taken as 4.18 kJ kg^- 1 o C^- 1. If the length of the coil is increased by 50⁰C the area available for heat transfer, A ', also increases by 50% so that A' = 1.5 A. The value of the overall heat-transfer coefficient is not expected to change very much. For the new coil, what is the value of UA’  ______________

TLS Online TPP Program

#Question id: 14496

#Section 1: Engineering Mathematics

4 coins are tossed. Then the probability that at least one head turns up is

TLS Online TPP Program

#Question id: 14497

#Section 1: Engineering Mathematics

In a throw of 3 dice the probability that at least one die shows up 1 is

TLS Online TPP Program

#Question id: 14498

#Section 1: Engineering Mathematics

Match the following :

   

TLS Online TPP Program

#Question id: 14499

#Section 1: Engineering Mathematics

Three machines A, B and C produce respectively 60%, 30% and 10% of the total number of items of a factory. The percentages of defective output of these machines are respectively 2%, 3% and 4%. An item is selected at random and found defective. Find the probability that the item was produced by machine C.

TLS Online TPP Program

#Question id: 14500

#Section 1: Engineering Mathematics

A fair die is tossed 180 times. The expected number of sixes is

TLS Online TPP Program

#Question id: 14501

#Section 1: Engineering Mathematics

In a population having 50% rice consumers, what is the probability that three or less out of 10 are rice consumers?