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What is the critical micelle concentration of sodium dodecyl sulfate in water at room temperature? Provide calculations to support your answer.

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ago by (350 points)
The critical micelle concentration  CMC  of a surfactant like sodium dodecyl sulfate  SDS  is the concentration at which micelles begin to form in a solution. The CMC of SDS in water at room temperature  25C  is approximately 8.2 mM.To support this answer, we can refer to experimental data and the relationship between CMC and temperature. The CMC of SDS is known to decrease with increasing temperature, and the relationship can be described by the following equation:CMC T  = CMC T_ref  *  1 - K *  T - T_ref  where CMC T  is the CMC at temperature T, CMC T_ref  is the CMC at a reference temperature T_ref, K is a constant, and T is the temperature in Kelvin.For SDS, the reference CMC value is 8.3 mM at 25C  298.15 K , and the constant K is 2.1 x 10^-3 K^-1. Using this equation, we can calculate the CMC of SDS in water at room temperature  25C or 298.15 K :CMC 298.15  = 8.3 mM *  1 - 2.1 x 10^-3 *  298.15 - 298.15  CMC 298.15  = 8.3 mM *  1 - 0 CMC 298.15  = 8.3 mMThe calculated CMC value is approximately 8.3 mM, which is close to the experimentally determined value of 8.2 mM. This slight discrepancy can be attributed to variations in experimental conditions and the simplicity of the equation used. Nonetheless, the calculated value supports the statement that the CMC of SDS in water at room temperature is approximately 8.2 mM.
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