Question

Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.

67

likes
337 views

Answer to a math question Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.

Expert avatar
Timmothy
4.8
97 Answers
To determine the pH of the final solution, we need to calculate the concentration of the resulting solution after mixing HCI and KOH.

Step 1: Calculate the number of moles of HCI and KOH:
- HCI: moles = volume (L) x concentration (M) = 0.150 L x 0.1 M = 0.015 mol
- KOH: moles = volume (L) x concentration (M) = 0.100 L x 0.2 M = 0.020 mol

Step 2: Determine the limiting reagent:
Since the stoichiometric ratio of HCI to KOH is 1:1, the limiting reagent is the one with the lesser number of moles, which in this case is HCI.

Step 3: Calculate the remaining moles of the excess reactant:
- Excess KOH: moles = moles - limiting reagent moles = 0.020 mol - 0.015 mol = 0.005 mol

Step 4: Calculate the total volume of the final solution:
- Total volume = volume of HCI + volume of KOH = 150 ml + 100 ml = 250 ml = 0.250 L

Step 5: Calculate the concentration of the final solution:
- Final concentration = total moles / total volume = (moles of HCI + moles of excess KOH) / total volume = (0.015 mol + 0.005 mol) / 0.250 L = 0.08 M

Step 6: Calculate the pOH of the final solution:
- pOH = -log[OH-]
- Since KOH is a strong base and fully dissociates, [OH-] = concentration of KOH = 0.2 M
- pOH = -log(0.2) = 0.70

Step 7: Calculate the pH of the final solution:
- pH + pOH = 14
- pH = 14 - pOH = 14 - 0.70 = 13.30

Answer: The pH of the final solution is 13.30.

Frequently asked questions (FAQs)
What is the slope-intercept equation of a line passing through the points (2, 4) and (5, 11)?
+
Find the limit as x approaches infinity of (3x^2 + 2x) / (x^2 + 5x + 2).
+
What is the principal period of the cotangent function f(x) = cot(x)?
+
New questions in Mathematics
A circle with a 12-inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?
Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5
(m²-121)
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
Log(45)
Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?
How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.
find x in the equation 2x-4=6
The following table shows the frequency of care for some animal species in a center specializing in veterinary dentistry. Species % Dog 52.8 Cat 19.2 Chinchilla 14.4 Marmoset 6.2 Consider that the center only serves 10 animals per week. For a given week, what is the probability that at least two are not dogs? ATTENTION: Provide the answer to exactly FOUR decimal places
7=-4/3y -1
Which of the methods below can be used to workout 95% of an amount? a. Dividing the amount 100 and multiply by 95 b. Working out 5% of the amount and taking it away from the full amount c. Dividing 95 by 100 and multiplying the answer by the amount d. Dividing the amount by 95 and then multiply by 100
A Smooth Plane is listed for $195.00. Discounts of 12% and 10% are allowed. If the customer pays cash within 30 days, an additional discount of 3% is granted. What is the cost if a carpenter takes advantage of all the discounts offered?
Calculate the difference between 407 and 27
A given initial capital in simple interest at the annual rate and for 27 months produced the accumulated capital of 6600 um if the same capital had been invested at the same rate but during 28 months the said accumulated capital would be increased in an amount corresponding to 0.75% of the initial capital Calculate the initial capital and the annual rate at which it was invested
Find the set of points formed by the expression 𝜋<|𝑧−4+2𝑖|<3𝜋.
2 - 6x = -16x + 28
An export company grants a bonus of $100,000 pesos to distribute among three of its best employees, so that the first receives double the second and the latter receives triple the third. How much did each person receive?
Let f(x)=-1/2x+5 evaluate f(-6)
Paul invites 12 friends to his birthday. He wants to give 15 candies to everyone two. The candies are sold in packs of 25. How many should he buy? packages?
Write an equation of the affine function whose graph is perpendicular to the graph of f(x) = 5x − 1 and passes through the point (5, 20).