First slide

Chemical equations and calculations

Question

Which of the following statements is/are correct? 20.0 mL of 6.0 M HCI is mixed with 50.0 mL of 2.0 M
Ba(OH)₂, and 30 mL of water is added.

Moderate

A

The concentration of $\overset{â}{O} H$ remaining in solution is 0.8 M.
B

The concentration of ${Cl}^{â}$ remaining in solution is 1.2M.
C

The concentration of Ba²⁺ remaining in solution is 1.0M
D

80 mmoles of $\overset{â}{O} H$ is in excess

Solution

$mmoles of HCl â 20 Ã 6 = 120 â 120 mmol H^{â} + 120 {mmolCl}^{â} mmoles of Ba {(OH)}_{2} â 5 Ã 2 = 100 â 100 mmol {Ba}^{2 +} + 200 mmol \overset{â}{O} H H^{â} + \overset{â}{O} H \overset{}{â} H_{2} O Total volume = 20 + 50 + 30 = 100 mL \begin{array}{l} 1 . â´ [\overset{â}{O} H] = \frac{(200 â 120) mmol}{100 mL} = 0.8 M \\ 2 . [{Cl}^{â}] = \frac{120 mmol}{100 mL} = 1.2 M \\ 3 . [{Ba}^{2 +}] = \frac{100 mmol}{100 mL} = 1.0 M \end{array} 4 . mmoles of \overset{â}{O} H left = 200 - 120 = 80 mmol$

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