If 1g of steam is mixed with 1 g of ice, then the resultant temperature of the mixture is :
Text Solution
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Heat required by 1g ice at 0°C to melt into 1g water at 0°C,
Q 1 = mL (L = latent heat of fusion)
= 1 × 80 = 80 cal (L = 80 cal/g)
Heat required by 1g of water at 0°C to boil at 100°C,
Q 2 = ms
(s = specific heat of water)
= 1 × 1(100 – 0) (s = 1 cal/g°C)
= 100 cal
Thus total heat required by 1g of ice to reach a temperature of 100°C,
Q = Q 1 + Q 2
= 80 + 100 = 180 cal
heat available with 1g of steam to condense into 1g of water at 100°C
Q' = mL' (L' = latent heat of vaporization)
= 1 × 536 cal (L' = 536 cal/g)
= 536 cal
Obviously, the whole steam will not be condensed and ice will attain temperature of 100°C. Thus, the mixture of temperature is 100°C
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