Question 3 A 1.0-liter solution is made by dissolving n moles of HCI in water. HCl is a strong acid and Kw= 1.00x1014. Calculate the pH of the solution and check whether we can use the assumption that the contribution to the hydronium ion concentration from water can be neglected if: (a) If n 5.0x10-6 (mol) (b) If n = 5.0x107 (mol) (c) The relative error we can accept for the calculation of [H*] is within 5% of the value we would obtain if all sources of hydronium ion were included; that is, assuming we can neglect one (or more) of the sources of hydronium ion. What is the minimum value of n that is acceptable to still use the assumption (i.e., to neglect the contribution of water to the total hydronium ion concentration)?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Question 3
A 1.0-liter solution is made by dissolving n moles of HCl in water. HCl is a strong acid and Kw = 1.00x1014,
Calculate the pH of the solution and check whether we can use the assumption that the contribution to
the hydronium ion concentration from water can be neglected if:
(a) If n 5.0x106 (mol)
(b) If n = 5.0x107 (mol)
(c) The relative error we can accept for the calculation of [H*] is within 5% of the value we would obtain
if all sources of hydronium ion were included; that is, assuming we can neglect one (or more) of the
sources of hydronium ion. What is the minimum value of n that is acceptable to still use the
assumption (i.e., to neglect the contribution of water to the total hydronium ion concentration)?
Transcribed Image Text:Question 3 A 1.0-liter solution is made by dissolving n moles of HCl in water. HCl is a strong acid and Kw = 1.00x1014, Calculate the pH of the solution and check whether we can use the assumption that the contribution to the hydronium ion concentration from water can be neglected if: (a) If n 5.0x106 (mol) (b) If n = 5.0x107 (mol) (c) The relative error we can accept for the calculation of [H*] is within 5% of the value we would obtain if all sources of hydronium ion were included; that is, assuming we can neglect one (or more) of the sources of hydronium ion. What is the minimum value of n that is acceptable to still use the assumption (i.e., to neglect the contribution of water to the total hydronium ion concentration)?
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