Question #149189
f 150cm3 of steam at 100∘C is added to 250cm3 water at 40∘C, how much steam(in cm3) is condensed into water at 100∘C?
1
Expert's answer
2020-12-10T11:09:30-0500

V1=150 sm3, V2=250 sm3, t1=100°C, t2=40°C,V_1=150 ~sm^3,~V_2=250 ~sm^3,~t_1=100°C,~t_2=40°C,

L=2.3106 Jkg, c=4200 Jkg°C,ρ1=0.6 kgm3, ρ2=1000 kgm3.L=2.3\cdot10^6~\frac{J}{kg},~c=4200~\frac{J}{kg\cdot °C}, \rho_1=0.6~\frac{kg}{m^3},~\rho_2=1000~\frac{kg}{m^3}.


Q1=Lρ1V1=207 J.Q_1=L\rho_1V_1=207~J.

Q2=cρ2V2(t1t2)=63000 J.Q_2=c\rho_2V_2(t_1-t_2)=63000~J.

Q1Q2,Q_1\ll Q_2, so full steam (150 sm3150 ~sm^3) is condensed into water at 100°C.


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