A 200. gram sample of a salt solution contains 0.050 grams of NaCl. What is he concentration of the solution in parts per million?

a)50. ppm
b)250. ppm
c)2.5 * 10^-4 ppm
d)5.0 * 10^4 ppm

To calculate the concentration of the solution in parts per million (ppm), we need to determine the ratio of the mass of NaCl to the total mass of the solution, and then multiply by 1 million.

First, we need to calculate the total mass of the solution:
Total mass of the solution = mass of NaCl + mass of solvent
Total mass of the solution = 0.050 grams + 200 grams (since the sample is 200 grams)

Next, we calculate the ratio of the mass of NaCl to the total mass of the solution:
Ratio = mass of NaCl / total mass of the solution
Ratio = 0.050 grams / (0.050 grams + 200 grams)

Simplifying the above equation gives:
Ratio = 0.050 grams / 200.050 grams

To convert this ratio to parts per million (ppm), multiply by 1 million:
Concentration in ppm = Ratio * 1,000,000

Calculating the concentration gives us:
Concentration in ppm = (0.050 grams / 200.050 grams) * 1,000,000

Concentration in ppm ≈ 250

So, the concentration of the solution in parts per million (ppm) is approximately 250.

Therefore, the answer is b) 250. ppm.

To calculate the concentration of the salt solution in parts per million (ppm), we need to first determine the amount of salt in grams per liter (g/L), and then convert it to ppm.

First, we have a 200. gram sample of the salt solution, which contains 0.050 grams (given) of NaCl.

To find the concentration in g/L, we divide the mass of NaCl by the volume of the solution in liters.

Since we don't have the volume of the solution, we need to assume it is 1 liter (L) for the sake of calculation. Therefore, the concentration of the solution would be:
0.050 grams / 1 liter = 0.050 g/L

To convert this concentration to ppm, we multiply by 1,000,000 (since ppm is parts per million):
0.050 g/L * 1,000,000 = 50 ppm

So, the concentration of the solution is 50 ppm.

Therefore, the correct answer is:
a) 50 ppm.

You can do this one of several ways.

ppm means parts per million.
0.05 g NaCl/200 g sample.

#1.
0.05g NaCl/200 g soln = 2.5E-4g NaCl/g soln. Now must multiply numerator and denominator by 1E6 (a million) to give you
2.5E-4*1E6 g NaCl/1E6 g soln = 2.5E2/1E6 g soln = 250 ppm.

#2.
Scale it up by units.
0.05 gNaCl/200 g soln. Multiply by 5 to obtain g NaCl/1000 g soln
0.05*5/200*5 = 0.25 g NaCl/1000 g soln
Now multiply by 1000 to get to a million.
0.25*1000 g NaCl/1000*1000g soln = 250 g NaCl/1,000,000 g soln = 250 ppm.

#3. You do #2 in one step.
0.05g NaCl/200 g soln = 0.05*x/(200*x)
What must x be to get to 1,000,000. That is 1,000,000/200 = 5,000 so multiply both numerator and denominator by 5,000.
0.05*5000 g NaCl/200*5000 =
250 g NaCl/1,000,000 = 250 ppm.