# The pH of a solution is 2.57 at 25 degrees C. What is the molar concentration of hydronium ions? What is the molar concentration of hydroxide ions?

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The pH of a solution is 2.57 at 25 degrees C.

What is the molar concentration of hydronium ions?

What is the molar concentration of hydroxide ions?

The pH of a solution is 2.57 at 25 degrees C.

What is the molar concentration of hydronium ions?

What is the molar concentration of hydroxide ions?

Given the definition of

To evaluate these values, you will obviously need a calculator—I've never had one on hand.

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The molar concentration of hydronium ions in a solution with pH 2.57 at 25°C is (1.47 \times 10^{-3}) M.

The molar concentration of hydroxide ions in the same solution can be calculated using the formula (K_w = [\text{H}^+][\text{OH}^-]), where (K_w) is the ion product of water ((1.0 \times 10^{-14}) at 25°C). Thus, ([\text{OH}^-] = \frac{K_w}{[\text{H}^+]} = \frac{1.0 \times 10^{-14}}{10^{-2.57}} = 3.42 \times 10^{-12}) M.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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