Answer to Question #196806 in Mechanical Engineering for muhammed mudhasir

Question #196806

Specific volume 7.40 m3 of air per minute at 31˚C DBT and 18.5˚C WBT is passed over the cooling

coil whose surface temperature is 4.4˚C. The coil cooling capacity is 3.56 tons of refrigeration

under the given condition of air. Determine DBT and WBT of the air leaving the cooling coil.


1
Expert's answer
2021-05-25T02:12:02-0400

Mass flow rate = 7.40 m3 /min = 1.23 *7.40 =9.102 kg/min = 0.1517 kg/s

Heat observed by the coil from air

qˉ=12.50.1517=82.39947\bar{q}= \frac{12.5}{0.1517}=-82.39947 The negative sign shows heat is absorbed.

q=cp[T2T1]DBT    82.39947=1.005[T231]DBTq=c_p[T_2-T_1]_{DBT} \implies -82.39947 =1.005[T_2-31]_{DBT}

[T2]DBT=50.989520C[T_2]_{DBT}=-50.98952 ^0C

qˉ=12.50.1517=82.39947\bar{q}= \frac{12.5}{0.1517}=-82.39947 The negative sign shows heat is absorbed.

q=cp[T2T1]WBT    82.39947=1.005[T218.5]WBTq=c_p[T_2-T_1]_{WBT} \implies -82.39947 =1.005[T_2-18.5]_{WBT}

[T2]WBT=63.489520C[T_2]_{WBT}=--63.48952 ^0C


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