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What is the percent ionization of a 0.1 M solution of acetic acid (pKa = 4.76) at 25°C, if its ionization constant (Ka) changes to 1.32 x 10^-5 when the temperature is raised to 50°C?

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First, we need to find the ionization constant  Ka  at 25C using the given pKa value:pKa = -log Ka 4.76 = -log Ka Ka = 10^-4.76   1.74 x 10^-5Now, we will use the ionization constant  Ka  at 50C, which is given as 1.32 x 10^-5.The ionization reaction for acetic acid  CH3COOH  is:CH3COOH  CH3COO- + H+Let x be the concentration of CH3COO- and H+ ions at equilibrium. Then, the concentration of CH3COOH at equilibrium will be  0.1 - x .The ionization constant  Ka  expression is:Ka = [CH3COO-][H+]/[CH3COOH]At 50C, we have:1.32 x 10^-5 =  x  x / 0.1 - x We can assume that x is very small compared to 0.1, so we can approximate:1.32 x 10^-5   x^2 /0.1Now, we can solve for x:x^2 = 1.32 x 10^-5 * 0.1x^2 = 1.32 x 10^-6x  1.15 x 10^-3Now, we can find the percent ionization:Percent ionization =  x / initial concentration  * 100Percent ionization =  1.15 x 10^-3 / 0.1  * 100Percent ionization  1.15%So, the percent ionization of a 0.1 M solution of acetic acid at 25C, if its ionization constant  Ka  changes to 1.32 x 10^-5 when the temperature is raised to 50C, is approximately 1.15%.

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