Question

question 1 (1 point)
how many grams of solute are in 2000. ml of a 5.00 ppm solution ?
the concentration will always be the conversion factor. like %m/m, ppm and related
concentrations are in g/ml.
5.00 ppm means 5.00 g in a million ml, or 5.00 g/$10^6$ ml, or 5.00 g/ml x $10^6$.
( 2 ml)($\frac{__1__ g}{__4__ ml}$) = 1.00 x 3 g
a. 0.00 b. 1.00 c. 2.00 d. 3.00 e. 4.00 f. 5.00
g. 6.00 h. 8.00 i. 10.00 j. 2000 k. $10^2$ l. $10^3$
m. $10^6$ n. $10^9$ o. $10^{12}$ p. $10^{-2}$ q. $10^{-3}$ r. $10^{-6}$
s. $10^{-9}$ t. $10^{-12}$ u. $10^8$ v. $10^{-1}$ w. $10^1$ x. 30.0
y. 0.100 z. 0.200 aa. 20.0 bb. 40.0
cc. 1.33 dd. 0.267

Explanation:

Step1: Identify the volume

The volume of the solution is 2000. mL, so for the second blank (representing volume), we use 2000, which corresponds to option J.

Step2: Determine the ppm conversion factor

5.00 ppm means 5.00 g per \(10^6\) mL, so the numerator of the conversion factor (first blank) is 5.00 (option F) and the denominator (fourth blank) is \(10^6\) (option M).

Step3: Calculate the mass

Using the formula \(\text{mass} = \text{volume} \times \text{concentration}\), we have \(2000\space mL \times \frac{5.00\space g}{10^6\space mL}\). First, calculate \(2000\times5.00 = 10000\), then divide by \(10^6\): \(\frac{10000}{10^6}= 1.00\times10^{-2}\space g\)? Wait, no, wait: \(2000\times5.00 = 10000\), and \(10000\div10^6 = 0.01\)? Wait, no, let's do it correctly. \(5.00\space ppm=\frac{5.00\space g}{10^6\space mL}\). So \(2000\space mL\times\frac{5.00\space g}{10^6\space mL}=\frac{2000\times5.00}{10^6}\space g=\frac{10000}{10^6}\space g = 0.01\space g\)? But the problem states the result is \(1.00\times\) (third blank) g. Wait, maybe I made a mistake. Wait, \(2000\space mL = 2\times10^3\space mL\). So \(2\times10^3\space mL\times\frac{5.00\space g}{10^6\space mL}= (2\times5.00)\times10^{3 - 6}\space g=10\times10^{-3}\space g = 1.00\times10^{-2}\space g\)? But the options for the third blank: let's check the options. Wait, maybe the problem has a typo, but following the given structure:

• Blank 1 (numerator of conversion factor): 5.00 (F)
• Blank 2 (volume): 2000 (J)
• Blank 3: Let's see, \(2000\times\frac{5.00}{10^6}=\frac{10000}{10^6}=0.01 = 1.00\times10^{-2}\), but \(10^{-2}\) is option P? Wait, no, the problem says "1.00 x 3 g". Wait, \(2000\times5.00 = 10000\), and \(10000\div10^6 = 0.01 = 1.00\times10^{-2}\), so the third blank is \(10^{-2}\) (option P)? But let's re - evaluate.

Wait, the problem's formula is \((2\space mL)(\frac{1\space g}{4\space mL})=1.00\times3\space g\)

Substituting:

\(2000\space mL\times\frac{5.00\space g}{10^6\space mL}=\frac{2000\times5.00}{10^6}\space g=\frac{10000}{10^6}\space g = 0.01\space g=1.00\times10^{-2}\space g\)

So:

• Blank 1: F (5.00)
• Blank 2: J (2000)
• Blank 3: P (\(10^{-2}\))
• Blank 4: M (\(10^6\))

Answer:

Blank 1: F. 5.00
Blank 2: J. 2000
Blank 3: P. \(10^{-2}\)
Blank 4: M. \(10^6\)