When a block of ice at zero degrees Celcius melts, the ice absorbs energy from its environment. As the ice is melting, the temperature of the block (remains the same, increase decrease)

I think it remains the same.

A sample of liquid ethyl alcohol is boiling. As more heat is added, the temperature of the liquid alcohol will (remain the same, increase, decrease)
I think it will increase.

3 answers

what is your question?
whether it remains the same, increase, or decrease.
right on 1, wrong on 2.
As long as ice and water are together (that is SOME ice and SOME water) the temperature of the melting mixture will stay at zero C. After the last molecule of ice as melted, then the temperature of the melt will begin to rise.
Ethyl alcohol, at the boiling point, will continue at the boiling point until all of the liquid alcohol has evaporated. After the last molecule of alcohol has evaporated, added heat will increase the temperature of the alcohol vapor. (It is possible, if heat is added VERY VERY fast for the temperature of the liquid alcohol to rise BECAUSE of insufficient mixing but I don't think that's what the question has in mind.)