The condition under which the gases in the two balloons have the same kinetic energy is same temperature.
Kinetic energy can be defined as a form of energy that is possessed by a physical object (body) due to its motion or a change in velocity (acceleration).
According to the kinetic molecular theory of gases, the condition under which the gases (helium and hydrogen) in the two balloons have the same kinetic energy is same temperature because they're in constant random motion.
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