Heat in the amount of 100 kj is transferred directly from a hot reservoir at 1200 k to a cold reservoir at 600k. calculate the entropy change of the two reservoirs and determine if the increase of entropy principle is satisfied.

0.0833 k J/k

Explanation:

Given data in question

total amount of heat transfedded (Q) = 100 KJ

hot reservoir temperature R(h) = 1200 K

cold reservoir temperature R(c) = 600 k

Solution

we will apply here change of entropy (Δs) formula

Δs =

Δs =

Δs =

Δs = 0.0833 K J/k

this change of entropy Δs is positive so we can say it is feasible and

increase of entropy principle is satisfied

0.0837 kJ/K

Explanation:

Given:

Temperature of the cold reservoir T,cold = 600 K

Temperature of the hot reservoir T,hot= 1200 K

Heat transferred , Q=100 kJ

Now the entropy change for the cold reservoir

Now the entropy change for the cold reservoir

Therefore, the total entropy change for the two reservoir is

thus,

ΔS=0.1667-0.0833

ΔS=0.0833 kJ/K

Since, the change of entropy is positive thus we can say it is possible and

increase of entropy principle is satisfied

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