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`5g` ice at `0^(@)C` is mixed with `5g` of steam at `100^(@)C`. What is the final temperature? |
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Answer» Given, mass of the steam, m=1g Temperature `DeltaT = T_(2)-T_(1)` = 100-0=`100^(@)`C Heat required to melt ice at `0^([email protected])C=Q_(1)=m_(i)c_(w)DeltaT = 5xx1xx100`=500cal This heat rejected can melt the ice completely but cannot raise the temperature of water from 0 to `100^(@)`C as there is a deficiency of heat = `Q_(1) + Q_(2)-Q_(3)`=(900-540)cal = 360 cal `therefore` Resulting temperature `=100^(@)`C-(Heat deficient)/(Thermal capacity of system i.e., 6 g water) `=100^(@)C-(360 cal)/(6gxx1calg^(-1^(@))C^(-1))=100^(@)C -(360^(@)C)/6 =100^(@)C-60^(@)C=40^(@)`C |
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