A sealed, rigid container of ideal gas is allowed to cool from 400K to 300K by transferring thermal energy to an external water bath. Which of the following correctly describes the signs of the entropy changes of the gas (ΔSgas) and of the water bath (ΔSbath)?
a) ΔSgas>0;ΔSbath<0
b) ΔSgas>0;ΔSbath>0
c) ΔSgas<0;ΔSbath>0
d) ΔSgas<0;ΔSbath=0