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Transfer of heat problem?
Steam at 100°C is bubbled into 0.200 kg of water at 15°C in a calorimeter cup. How much steam will have been added when the water in the cup reaches 62°C? (Ignore the effect of the cup.)
The formula I have says to calculate the mass of the steam by:
mass of the water x heat constant of water x change in water temp / - heat constant of steam x change in steam temp.
I get .52 but that's not right. What am I missing? Please help. Thanks!
Sam, I tried the way you said and I got .15 kg but that's still not right. Could you plug the numbers into the formula you gave so I can make sure I set it up right? Thanks!
2 Antworten
- ?Lv 7vor 9 JahrenBeste Antwort
As steam cools, it first gives up the latent heat of vaporization (or condensation) as the gas turns to liquid water.
this value is about 2260 kJ/kg
Then the liquid will give up its specific heat as it cools from 100C to 62C
the specific heat of water is about 4.186 kJ/kg
If m is the mass of steam required
your equation for the solution will be
0.200(4.186)(62 - 15) = m(2260 + (4.186(100 - 62))
m = 0.016 kg
- vor 9 Jahren
you are missing the heat that will be release when water at 100°C (converted from steam) reaches 62°C.
So your final equation should be,
heat of fusion*mass of steam + heat release for water @ 100 to reach 62 = heat absorbed by water at 15 to reach 62.. Hope u got it.. Do ask me for any further if needed !!