A 20g mass of steam at 373k is added to 200g of liquid water at 298k...

A 20g mass of steam at 373k is added to 200g of liquid water at 298k at constant pressure. Write down equations and specify all the parameters needed to calculate dS (entropy) for this process.

Expert Solution

Given V₁ = 20 g ; V₂ = 200g ;T₁ = 373 K ; T₂ = 298 K ; C_v = 3/2 R ; R = 8.314 J/K/mol

S = C_P ln (T₂/T₁) + R ln (V₂/V₁)

At constant pressure means increase in enthalpy of the system per degree rise in temperature.

C_p - C_v = R

C_p = R + C_v

C_p = 3/2 R + R = 2.5 R = 2.5 (8.314 J/K/mol) = 20.785 J/K/mol

S = (20.785 J/K/mol) ln (298 K/ 373 K) + (8.314 J/K/mol) ln (200g/20g)

S = (20.785 J/K/mol) ln (0.7989) + (8.314 J/K/mol) ln (10)

S = (20.785 J/K/mol) (-0.2245)+ (8.314 J/K/mol) (2.3025)

S = - 4.666 J/K/mol + 19.143 J/K/mol

S = 23.809 J/K/mol

queen_honey_blossom answered 2 years ago

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