7. Consider the following processes (treat all gases as ideal). 1) The pressure

Question

7. Consider the following processes (treat all gases as ideal). 1) The pressure of 1 mole of oxygen gas is allowed to double isothermally. 2) Carbon dioxide is allowed to expand isothermally to 10 times its original volume. 3) The temperature of 1 mol of helium is increased 25 degree C at constant pressure. 4) Nitrogen gas is compressed isothermally to half its original volume. 5) A glass of water loses 100 J of energy reversibly at 30degreeC. Which of these processes lead(s) to an increase in entropy?

Explanation / Answer

For an isothermal expansion of an ideal gas, change in entropy i.e., ?U=0

In the case of options 1, 2 and 4 as the process is isothermal there will be no increase i.e., ?U=0

In case of option 5 , the temperature is constant and hence there is no increase in entropy i.e., ?U=0

In case of option 3, as the temperature is increased there will be an increase in entropy.

Hence option 3 is the correct answer.

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