How many grams of sodium chloride should be used in preparing 500 ml of a stock solution such that 50 ml?

Answers

Answer 1
Answer:

Answer: 30 grams

Step-by-step explanation: (50 mL x x%) = (1000 mL x 0.3%)

x = 6%

6% x 500 mL = 30 grams

Answer 2
Answer:

Final answer:

The calculation for the amount of sodium chloride (NaCl) in a solution depends on the desired concentration. For instance, to prepare 50 ml of a 1M solution, one would need 2.922 g of NaCl. For a 500 ml stock solution for the same, the measurement would be ten times this, or 29.22 g.

Explanation:

The question pertains to preparing a solution of sodium chloride N(aCl). The given information indicates that we have 5.30 mol NaCl L solution. To provide an accurate answer, it's necessary to know the targeted concentration for the 50 ml solution. However, lacking this data, we can consider an example where we want to prepare a 1M solution.

In such a case, using the concept of molarity (mol/L), we'd first establish how many moles of NaCl are needed. For a 1M solution, we'd need 1 mol of NaCl per liter of solution. Therefore, in order to prepare 50 ml (or 0.05 L), we require 0.05 mol of NaCl.

The given information also states that 1 mol of NaCl weighs 58.44 g. Therefore, we would need (0.05 mol) * (58.44 g/mol) = 2.922 g of NaCl for 50 ml of a 1M solution. Therefore, if preparing 500 ml of a stock solution, we would require 10 times this amount, or 29.22 g of NaCl.

This is a general guide as the specific quantity can vary based on the desired concentration of the 50 ml solution. For other concentrations, we would use the same method, simply adjusting the moles of NaCl needed as appropriate.

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What is the greatest common factor of 8m, 36m^3 and 12

Answers

Answer: 4

Step-by-step explanation:

The given expressions :8m,\ 36m^3\ and\ 12

The prime factorization of 8m is given by :-

8m=2*2*2* m

The prime factorization of 36m^3 is given by :-

36m^3=2*2*3*3* m* * m

The prime factorization of 12 is given by :-

12=2*2*3

We can see that the greatest common factor of 8m,\ 36m^3\ and\ 12 is 2*2=4

Thus, the  greatest common factor of 8m,\ 36m^3\ and\ 12=4

8m=2*2*2*m
36m^3=2*2*3*3*m*m*m
12=2*2*3

gcf=2*2
answer is 4

A= h(b+c) solve for b

Answers

A=h(b+c)
A/h=b+c
b=(A/h)-c

Answer: b=(A/h)-c
(a/h)-c=b that is the answer. remember PEMDAS

(will give brainliest)a hiker, whose eye is 1.6 meters above ground, stands 50 meters from the base of connecting her eye and the top of the cliff and a horizontal line is 58°. draw a diagram representing the situation and find the height of the cliff

Answers

Answer:

The height of the cliff is 81.6m

Step-by-step explanation:

Please see the attachment below for an illustrative diagram representing the situation.

Step-by-step explanation:

From the diagram

x = /AB/

The height of the cliff is given by ( x + 1.6m)

Considering triangle ABC which is a right-angle triangle

/AB/ is the opposite and

/BC/ is the adjacent ; /BC/ = 50m

Angle of elevation is 58°

Then, we can write that

Tan 58^(o) = (/AB/)/(50m)

/AB/ = 50 (tan58^(o))\n

/AB/ = 50 * 1.600

/AB/ = 80.0m

Hence, Side /AB/ = 80.0m

Since, /AB/ = x

∴ x = 80.0 m

Recall, the height of the cliff is given by

x + 1.6m

= 80.0m + 1.6m  

= 81.6 m

Hence, the height of the cliff is 81.6m

Answer:

80.02m

Step-by-step explanation:

Find the diagram attached. Using SOH, CAH, TOA to find the height of the cliff AC,

AC is the opposite side and BC is the adjacent

Given BC = 50m and ∠ABC = 58°

tan∠ABC = AC/BC

tan58° = AC/50

cross multiply

AC = 50tan58°

AC = 80.02m

Hence the height of the cliff is 80.02m

if a storm windows has an area of 315 square inches, what are the dimensions if the window is 6 inches higher than it is wide (w x h)

Answers

Answer:
length of window = 21 in
width of window = 15 in

Explanation:
Assume that the width of the window is w
We are given that the length is 6 in longer than the width
This means that:
length of window = w + 6

Area of rectangle is calculated as follows:
area = width * length
area = w(w+6)
315 = w(w+6)
315 = w² + 6w
w² + 6w - 315 = 0
(w-15)(w+21) = 0

This means that:
either w-15=0 .......> w = 15 in .......> accepted solution
or w+21 = 0 .........> w = -21 in .......> rejected as width of window cannot be negative

Now, we know that:
length = width + 6
length = 15 + 6
length = 21 in

Based on the above calculations:
length of window = 21 in
width of window = 15 in

Hope this helps :)
hw=315\n h=w+6\n (w+6)w=315\n w^2+6w-315=0\n w^2+21w-15w-315=0\n w(w+21)-15(w+21)=0\n (w-15)(w+21)=0\n w=15 \vee w=-21\n\n h=15+6=21\n\n\ w=15 \ in\n h=21\ in\n

Six friends are going to sit together in a roller coaster car that has six seats in how many different arrangements can they sit

Answers

They can sit in 6 different arrangements

Answer: 720

Six friends are going to sit together in a roller coaster car that has six seats in how many different arrangements can they sit

A toy store marks down every toy by 15% in June .how much does a toy cost during June

Answers

Answer:

  15% less than its regular price

Step-by-step explanation:

If the toy is marked down 15% in June, its cost during June is 15% less than its regular cost. (It will be 85% of its regular cost.)