If 30 J of energy is added to water in the form of heat at 27 °C , what is the change in entropy of water?

  1. 2.5 J/K
  2. 9.5 J/K
  3. 0.45 J/K
  4. 0.100 J/K

Answer (Detailed Solution Below)

Option 4 : 0.100 J/K
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Detailed Solution

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CONCEPT:

  • Entropy: Entropy is a measure of the disorder of a system.
    • Entropy also describes how much energy is not available to do work.

Mathematically entropy is calculated by ΔS:

\(ΔS= {Q \over T}\)

where Q is the heat transferred energy to the system during a process, and T is the temperature in K at which the process takes place.

Q → +ve (when the heat is transferred to the system)

Q → -ve (when the heat is taken out of the system)

CALCULATION:

Given that Q = 30 J and T = 27 °C = (273 + 27) K = 300 K

\(ΔS= {Q \over T} ={30 \over 300}=0.100 \space J/K\)

So the correct answer is option 4.

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