Mathematics, 14.04.2020 19:02 jonnycampbell223

Solution A is an $80\%$ acid solution. Solution B is a $30\%$ acid solution. (a) Find the amount of Solution A (in mL) that must be added to $500$ mL of Solution B in order to produce a $70\%$ acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a $100$ mL solution that is $50\%$ acid. (c) Does there exist a combination of Solution A and Solution B that is $90\%$ acid

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Answers

Answer from: paaoolav

(a) $2000\text{ ml}$ (b) $40\text{ ml and }60\text{ ml}$ (c)NO

Step-by-step explanation:

GIVEN: Solution A is an $\$80\%$ acid solution. Solution B is a $\$30\%$ acid solution.

TO FIND: (a) Find the amount of Solution A (in mL) that must be added to $500 \text{ml}$ of Solution B in order to produce a $70\%$ acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a $100 \text{ml}$ solution that is $50\%$ acid. (c) Does there exist a combination of Solution A and Solution B that is $90\%$ acid.

SOLUTION:

(a)

Let total amount of solution A added be

Total amount of mixture $=500+x\text{ ml}$

As resulting solution is $70\%$ acid solution.

Amount of acid in final solution is sum of acid in both solutions

$\frac{70}{100}(500+x)=\frac{80}{100}x+\frac{30}{100}\times500$

35000+70x=80x+15000

$x=2000\text{ ml}$

(b)

Let amount of Solution A be $x\text{ ml}$

Amount of solution B $=100-x\text{ ml}$

As resulting solution is $50\%$ acidic solution

Amount of acid in final solution is sum of acid in both solutions

$\frac{50}{100}\times100=\frac{80}{100}x+\frac{30}{100}(100-x)$

5000=80x+3000-30x

50x=2000

$x=40\text{ ml}$

Amount of solution B $=100-40=60\text{ ml}$

(c)

No as concentration of final solution can not be greater than one with higher concentration.

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹( $\frac{smaller force}{resultant}$