Final answer:
When the same amount of heat is added to two identical cylinders containing the same amount of ideal monatomic gas, both cylinders experience the same temperature rise, which would be T0 assuming no work is done by the gases.
The Correct Option Is; A-T0
Step-by-step explanation:
The question deals with the thermodynamic behavior of an ideal monatomic gas when heat is added to two separate cylinders. Given that the initial quantities of gas and initial conditions are the same for both cylinders, when the same amount of heat is added, the temperature rise in both cylinders should be the same if all the heat is used for raising the temperature.
This is true under the assumption that the processes inside the cylinders only involve changes in internal energy due to temperature changes, and no work is done by the gas. Therefore, if cylinder A experiences a temperature rise of T0, then cylinder B will also have a temperature rise of T0.
This assumes that both processes are similar, and the capacity for heat absorption, which depends on their volume, moles of gas, and specific heat capacity, are equal as stated in the question.