Industrial heat exchangers frequently use saturated steam for process heating requitements. As heat is transferred from

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Industrial heat exchangers frequently use saturated steam forprocess heating requitements. As heat istransferred from the steam a saturated liquid (condensate) isproduced. The condensate collects in thebottom of the heat exchanger where a float valve opens when theliquid reaches a certain level, allowingthe liquid to discharge. The float then drops down to its originalposition and the valve closes,preventing uncondensed steam from escaping. In this way the valveonly allows liquid to pass through,preventing uncondensed steam from escaping, and provides simplemeans of controlling steam flow.a. Suppose saturated steam at 25 bar is used to heat 200 kg/min ofan oil from 135oC to 185oC.Heat must be transferred to the oil at a rate of 2.50 x 104 kJ/minto accomplish this task. Thesteam condenses on the exterior of a bundle of the heat exchangertubes through which the oil isflowing. Condensate collects in the bottom of the exchanger andexits through a float valve set todischarge when 2500 g of liquid is collected. How often does thetrap discharge?b. Especially when periodic maintenance checks are not performed,float valves can fail to closecompletely and so leak steam continuously. Suppose the float valvefor the oil heater of part (a)leaks such that on the average 10% additional steam must be fed tothe heat exchanger tocompensate for the uncondensed steam released through the leak.Further suppose that the costof generating the additional steam is $7.50 per million Btu, wherethe denominator refers to theenthalpy of the leaking steam relative to liquid water at 20oC.Estimate the yearly cost of theleaks based on 24 h/day, 360 day/yr operation.