An ideal gas unergoes a cycle of processes as shown in d p-v diagram gases, which statement correctly escribe the situation

a. The internal energy of the gas increases over one complete cycle
b. Over the entire cycle, work is done by the gas.
C. The gas absorbs more heat than it releases heat over the whole cycle
d. The gas gives out more heat than it absorbs over the whole cycle

To determine the correct statement, we need to analyze the information provided in the given p-v diagram for the gas cycle.

a. The internal energy of the gas increases over one complete cycle:
This statement cannot be determined solely based on the p-v diagram. The internal energy is related to the temperature of the gas, and the p-v diagram does not provide any information about temperature changes. Therefore, we cannot conclude whether the internal energy increases or decreases over the cycle based on the given diagram.

b. Over the entire cycle, work is done by the gas:
To determine whether work is done by the gas or not, we need to look at the area enclosed by the cycle on the p-v diagram. If the area is positive, then work is done by the gas. If the area is negative, then work is done on the gas. By calculating the area enclosed by the cycle on the p-v diagram, we can determine whether work is done by the gas or not.

C. The gas absorbs more heat than it releases heat over the whole cycle:
This statement cannot be determined solely based on the p-v diagram. The p-v diagram only shows information about the pressure and volume changes, but it does not provide information about heat transfer. Therefore, we cannot determine whether the gas absorbs more heat than it releases based on the given diagram.

d. The gas gives out more heat than it absorbs over the whole cycle:
Just like statement C above, this statement also cannot be determined based solely on the p-v diagram. The diagram only provides information about the pressure and volume changes but does not show any information about heat transfer. Therefore, we cannot determine whether the gas gives out more heat than it absorbs based on the given diagram.

In conclusion, based on the given p-v diagram, we cannot determine which statement is correct. To determine the correct statement, additional information about temperature changes and heat transfer would be required.