During a laboratory experiment, an ideal gas is contained in a cylinder with a movable piston. Initially, the gas has a temperature of 300 K. The gas is heated, receiving 500 J of heat. Simultaneously, it does 200 J of work on the surroundings as it expands. Based on the First Law of Thermodynamics, calculate the change in the internal energy of the gas during this process. Regarding this, judge the following statements as true (T) or false (F):

(__)The change in the internal energy of the gas is 300 J.

(__)The internal energy of the gas decreased during the process.

(__)The internal energy of the gas increased during the process.

Select the alternative with the correct order of judgment: