Question #177548

50 gram of water at 0°C is mixed with an equal mass of water at 80°C. Calculate the resultant increase in entropy


1
Expert's answer
2021-04-01T18:33:21-0400

Given,

mass of the water = 50gm

Temperature of the water T1=0CT_1=0^\circ C

mass of the second water =50gm

Temperature of the water (T2)=80C(T_2)=80^\circ C

Let the final temperature of the water be t.

Now, applying the conservation of energy,

Heat gain = Heat loss

50s(t0)=50s(80t)50s(t-0)=50s(80-t)

t=40Ct=40^\circ C

Change in entropy of 0C0^\circ C water = ΔQt=50×4040+273=6.39J/k\frac{\Delta Q}{t}=\frac{50\times 40}{40+273}=6.39J/k

Similarly change in entropy of 80C80^\circ C water,

=50×4040+273=6.39J/k=-\frac{50\times 40}{40+273}=-6.39J/k

Hence the total change in entropy=0J/k


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