Which of the following K values represents the strongest base?
A. K=1.8 x 10-5
B. K = 1.26 × 10-6
C. K = 1.26 x 10-7
D. K 3.8 × 10-10
SU



Answer :

To determine which of the given K values represents the strongest base, we need to understand that the strength of a base is related to its \(K_b\) (base dissociation constant) value. A higher \(K_b\) value indicates that the base is stronger because it means that the base ionizes more in solution, essentially meaning it produces more hydroxide ions (\(OH^-\)). Let's compare the given K values: A. \( K = 1.8 \times 10^{-5} \) B. \( K = 1.26 \times 10^{-6} \) C. \( K = 1.26 \times 10^{-7} \) D. \( K = 3.8 \times 10^{-10} \) Comparing the exponents first, since the negative exponents signify how small the number is, a less negative exponent corresponds to a bigger value. Therefore: - The exponent -5 in option A is less negative than the exponents -6, -7, and -10 in options B, C, and D respectively. - Therefore, \( 10^{-5} > 10^{-6} > 10^{-7} > 10^{-10} \). Next, we should compare the coefficients (the numbers before the \( \times 10^{-\text{exponent}} \)): - For exponents that are not equal, there is no need to compare coefficients, as the magnitude of the difference in the exponents will have a far more significant effect on the overall value. This tells us that option A must be larger than the others since its exponent is the highest. Thus, we can conclude that option A \( K = 1.8 \times 10^{-5} \) is the largest K value and hence represents the strongest base of the choices given.