When m gram of steam at 100C is mixed with 200 gm of ice at 0C. it results in the water at 40C. Find the value of m in gram. (given : Latent heat of fusion (Lf) = 80 cal/gm, Latent heat of vaporisation (Lv) = 540 cal/gm., specific heat of water (Cw)= 1 cal/gm/C)

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When m gram of steam at 100C is mixed with 200 gm of ice at 0C. it results in the water at 40C. Find the value of m in gram. (given : Latent heat of fusion (Lf) = 80 cal/gm, Latent heat of vaporisation (Lv) = 540 cal/gm., specific heat of water (Cw)= 1 cal/gm/C)

Rakesh 22nd Mar, 2020

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lubhan cherwoo 22nd Mar, 2020

Hi,

As the system is thermally insulated ,Heat given out by steam is heat absorbed by the system

Heat given out by steam during condensation=M540

Heat given out by water at100C to go to40C=MCpwater(10040)

Heat absorbed by ice during melting=20080

Heat absorbed by water at0Cto go to40C=200Cpwater(400)

Heat balance givens

M540+MCpwater60=20080+200Cpwater40

Cpwater=1cal/gmC.

M540+M60=20080+20040

M600=16000+8000

=24000

M=60024000

M=40gm

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