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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Water
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pantpranav (367)

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It takes 15 minutes to raise a certain amount of water from 00 C to boiling point using a heater. Then it takes 1 hour 20 minutes more to convert all the water into vapour. Find the latent heat of vapourisation of water.



    
babanbanerjee (47)

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Let there be 'm' gm of water.
We know Specific Heat capacity(c) of water is 1cal/gm/deg.cel.
Therefore heat supplied by the heater in 15mins = mct=1*m*(100-0)=100m cals.
So heat supplied per minute = 100m/15 cals=6.67m cals
Therefore the heater can supply in 80mins(1hr 20mins)=6.67*80=534mcals(approx.)
 
Now again
Q=mL(L=Specific Latent Heat)
So, 534m=mL
Finally hence L=534cals/gm.
                           Ans.
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akhil_o (2709)

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its direct: heat supplied is equal in unit time,
so L/C*100=t1/t2
so
L=C*80/15*100
=5.33C*100
=533 cals/g

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varundhawan5792 (0)

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is the answer 533.33 cal/g or 2240 J/g
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