Question

a system gains heat from the surroundings and has work done on it by the surroundings. what are the signs of qsystem and wsystem?

Answer 1

First Law of Thermodynamics is defined that the increase in internal energy of system is equal to the sum of heat supplied to the system and work done on system. In words, U = Q + W.

Since heat is gained here, Q is positive. Since work is done on system, W is positive.