a) Calculate the rate constant?
b) What is the value of the half-life?
c) How long will it take for the reaction to go to 25%, 80% completion?
second order kinetics
"\\frac{1}{[A]} = \\frac{1}{[A_0]} + kt"
since it's 41.5% complete
so remaining amount is 58.5 %
[A] = 0.585 [A0]
"\\frac{1}{[A]} - \\frac{1}{[A_0]} = k\u00d7500"
"\\frac{1}{0.585[A_0]} - \\frac{1}{[A_0]} = k\u00d7500"
"\\frac{1.70-1}{[A_0]} = k\u00d7500"
"k = \\frac{0.70}{[A_0]\u00d7500}"
"k = \\frac{0.0014}{[A_0]}"
"t_{1\/2} = \\frac{1}{k[A_0]}"
"t_{1\/2} = \\frac{1}{\\frac{0.0014}{[A_0]}\u00d7[A_0]}"
"t_{1\/2} = 714.2 sec"
for 25%
"\\frac{1}{[A]} - \\frac{1}{[A_0]} = kt"
"\\frac{1}{0.75[A_0]} - \\frac{1}{[A_0]} = \\frac{0.0014}{[A_0]}\u00d7t"
"t = \\frac{0.33}{0.0014} = 235 sec"
for 80%
"\\frac{1}{[A]} - \\frac{1}{[A_0]} = kt"
"\\frac{1}{0.20[A_0]} - \\frac{1}{[A_0]} = \\frac{0.0014}{[A_0]}\u00d7t"
"t = \\frac{4}{0.0014} = 2857.14 sec"
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