Q.

In an industrial process 10 kg of water per hour is to be heated from 20oC to 80oC. To do this steam at 150oC is passed from a boiler into a copper coil immersed in water. The steam condenses in the coil and is returned to the boiler as water at 90oC. How many kg of steam is required per hour?(Specific heat of steam = 1 calorie per gmoC, Latent heat of vaporisation = 540 cal/gm)

Moderate

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By Expert Faculty of Sri Chaitanya

a

1 gm

b

1 kg

c

10 gm

d

10 kg

answer is 2.

(Detailed Solution Below)

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Detailed Solution

Suppose m kg steam required per hourHeat released by steam in following three steps (i) When 150∘C steam ⟶Q1100∘C steam       Q1=mcSteam Δθ=m×1(150−100)=50m cal  (ii) When 100∘C steam ⟶Q2100∘C water        Q2=mLV=m×540=540m cal  (iii) When 100∘C water ⟶Q390∘C water        Q3=mcWΔθ=m×1×(100−90)=10mcalHence total heat given by the steam Q=Q1+Q2+Q3 = 600 mcal  ……..(i)Heat taken by 10 kg water   Q′=mcWΔθ=10×103×1×(80−20)=600×103cal Hence Q=Q′⇒600m=600×103      ⇒m=103gm=1kg
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