Entropy is a measure of disorder; when a system becomes more disordered, the change in entropy is positive. When change entropy is positive, it makes the change more spontaneous. The entropy has increased in terms of the more random distribution of the energy. In essence a system becomes more stable when its energy is spread out in a more disordered state. That is really all you need to know. Reactions can happen when enthalpy is transferred to the surroundings. A reaction is favored if entropy increases: There is also a bias in nature toward increasing entropy in a system. Reactions can happen when entropy increases. Entropy is a measure of the disorder of a system. Entropy also describes how much energy is not available to do work. The more disordered a system and higher the entropy, the less of a system's energy is available to do work. The more energy that is lost by a system to its surroundings, the less ordered and more random the system is the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy.
Temperature is the change in energy due to the change in entropy. And since there is no negative sign, it is phrased as a positive energy increases when entropy is added. Now, if temperature is constant, then what you said in your question is correct if you double the energy, the entropy will also double. The more energy that is lost by a system to its surroundings, the less ordered and more random the system is. Scientists define the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. Entropy quantifies to what extent the data are spread out over its possible values. Thus high entropy means that the data are spread out as much as possible while low entropy means that the data are nearly all concentrated on one value. Entropy increases as temperature increases. An increase in temperature means that the particles of the substance have greater kinetic energy. Entropy is the loss of energy available to do work. Another form of the second law of thermodynamics states that the total entropy of a system either increases or remains constant; it never decreases. Entropy is zero in a reversible process; it increases in an irreversible process. Entropy is a measure of disorder; when a system becomes more disordered, the change in entropy is positive. When change entropy is positive, it makes the change more spontaneous. In the same way, the more ways there are to distribute energy among the molecules in a system, the higher the entropy. When the particles in a system have more freedom to move around, the energy gets spread out more, and the system becomes more stable.