Answer to Question #149195 in Physics for Nkosiyazi Khulekani

Question

If 150cm

3

150cm3 of steam at 100

∘

C

100∘C is added to 250cm

3

250cm3 water at 40

∘

C

40∘C, how much steam(in cm

3

cm3) is condensed into water at 100

∘

C

100∘C?

Answer 1

$$m_sR=m_wc(T-T_0)\\\rho_sV_sR=\rho_wV_wc(T-T_0) \\(0.59)(2260000)V_s=(1000)(250)(4200)(100-40)\\V_s=47250\ cm^3>V_{s0}$$

Thus, all steam is condensed into water:

$$V_s=V_{s0}=150\ cm^3$$