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No. The calculation of entropy is more complicated than that. For example: to increase the temperature of 1 g of water by 1 degree (kelvin or celsius), you need about 4.2 joule. Now, if you increase the temperature of water from 273K (freezing point) to 373K (boiling point), for the first degree the entropy increases by approximately 4.2 joule / 273K = 0.0154 J/K. But for the last degree of increase, from 372 to 373K, the entropy increases by 4.2 joule / 372 kelvin = 0.0113 J/K. To calculate the increase in entropy, the entire range of temperatures must be divided into small intervals (in practice, there are shortcuts for the calculation). So, you see the relationship is not quite as simple as a simple proportion.

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