Steam is passed into 22g of water at 20c . The mass of water that will be present when the water acquires a temp of 90c?
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Heat lost by steam = heat gained by water.
Heat required to condense steam at 100°C to water at 100°C
Q1= mL = m×540
Heat required to lower temperature of water from 100°C to 90°C
Q2 = ms( delta temp)
= m×1×(100-90)°C
Heat lost by steam = Q1 + Q2
Now, heat gained by water to raise it from 20°C to 90°C
=ms(delta temp)
=22×1×(90-20)°C
=22×70
=1540.
Now,
1540= Q1+ Q2
1540= m(10+540)
550m = 1540
m= 1540÷550
=2.83 g
Thus total amount of water
= 22 + 2.83 g
= 24.83g
This is the required answer.
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