Suppose i have a bucket full of water in a closed room,the water is

[Dale]

There is not enough information given. The entropy of a gas depends on other things besides just the temperature (and I don't know how to calculate the entropy of a solid):
http://hyperphysics.phy-astr.gsu.edu/hbase/therm/entropgas.html

However, given the right conditions for the other variables (e.g. a large volume) then it is certainly possible for the low-temperature gas to have more entropy than the high-temperature solid. Given other conditions (e.g. a small volume) then it is possible for the solid to have more entropy.

This is why sublimation occurs more at low pressure than at high pressure.

 

[nouveau_riche]

There is not enough information given. The entropy of a gas depends on other things besides just the temperature (and I don't know how to calculate the entropy of a solid):
http://hyperphysics.phy-astr.gsu.edu/hbase/therm/entropgas.html

However, given the right conditions for the other variables (e.g. a large volume) then it is certainly possible for the low-temperature gas to have more entropy than the high-temperature solid. Given other conditions (e.g. a small volume) then it is possible for the solid to have more entropy.

This is why sublimation occurs more at low pressure than at high pressure.

yes entropy can be high even if the system has high thermal energy
you described well for my original question,thanks
just last think that still is doubtful-does SLOT was verified in my original question,it was clear that the temperature of water in bucket and in air both goes down,but what about entropy?

 

[Dale]

does SLOT was verified in my original question,it was clear that the temperature of water in bucket and in air both goes down,but what about entropy?

Entropy goes up.