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how many moles of nacl are contained in each volume of aqueous nacl sol…

Question

how many moles of nacl are contained in each volume of aqueous nacl solution? be sure each of your answer entries has the correct number of significant figures. note: reference the si prefixes table for additional information. part 1 of 2 4.9 l of a 0.43 m solution mol nacl part 2 of 2 320. ml of a 0.53 m solution mol nacl

Explanation:

Step1: Recall the formula for moles

The formula for moles \(n\) in a solution is \(n = C\times V\), where \(C\) is the molarity and \(V\) is the volume in liters.

Step2: Calculate for Part 1

Given \(C = 0.43\space M\) and \(V=4.9\space L\).
Substitute into the formula: \(n = 0.43\times4.9\).

$$n=0.43\times4.9 = 2.107$$

Rounding to two significant figures (since \(0.43\) has two and \(4.9\) has two), \(n = 2.1\space mol\).

Step3: Convert volume for Part 2

Given \(V = 320\space mL\). Convert to liters: \(V=\frac{320}{1000}=0.320\space L\) (three significant figures). \(C = 0.53\space M\) (two significant figures).

Step4: Calculate for Part 2

Substitute into \(n = C\times V\): \(n=0.53\times0.320\).

$$n = 0.53\times0.320=0.1696$$

Rounding to two significant figures (based on \(0.53\)), \(n = 0.17\space mol\).

Answer:

Part 1: \(2.1\space mol\)
Part 2: \(0.17\space mol\)