One kilogram of water at room temperature is brought into contact with a high temperature thermal reservoir. The entropy change of the universe is[2010]a)equal to entropy change of the reservoirb)equal to entropy change of waterc)equal to zerod)always positiveCorrect answer is option 'D'. Can you explain this answer?

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One kilogram of water at room temperature is brought into contact with a high temperature thermal reservoir. The entropy change of the universe is

[2010]

a)
equal to entropy change of the reservoir
b)
equal to entropy change of water
c)
equal to zero
d)
always positive

Correct answer is option 'D'. Can you explain this answer?

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One kilogram of water at room temperature is brought into contact with...

Explanation:

Reversible process: A thermodynamic process driving from initial state to final state is said to be reversible, if the system as well as its surrounding returns back to its initial state, without any change in the universe.

Irreversible process: It is a process that does not return back to its initial state.

Change in Entropy of the system can be expressed as shown below

From the above explanation, we can see that the equality sign holds good when the process undergone by the system is reversible, the inequality sign holds good if there is any irreversibility present in the process. This statement is usually called the principle of entropy increase.

For an isolated system,

ΔS > 0, for irreversible processes.

ΔS = 0, for reversible processes

ΔS < 0, the process is impossible.

However, for the reverse process, ΔS = 0 (i.e. Entropy remains constant.) .

In the question, it is not mentioned whether the process is reversible or irreversible. Therefore here we will take a general process i.e irreversible. For an irreversible process, the change in the entropy of the universe will be always positive.

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One kilogram of water at room temperature is brought into contact with a high temperature thermal reservoir. The entropy change of the universe is[2010]a)equal to entropy change of the reservoirb)equal to entropy change of waterc)equal to zerod)always positiveCorrect answer is option 'D'. Can you explain this answer?

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