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Q.

For a reversible isothermal expansion of an ideal gas

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a

ΔSsys =ΔSsurr =0

b

ΔSsys =ΔSsurr 

c

ΔSsys =ΔSsurr = negative 

d

ΔSsys =ΔSsurr = positive 

answer is B.

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Detailed Solution

In the reversible isothermal expansion, temperature of the system and surroundings are taken to be identical. Since heat absorbed by the system is equal to the heat lost by the surroundings, ΔSsys  and ΔSsum  will have equal value but carry opposite sign.

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For a reversible isothermal expansion of an ideal gas