Question

a certain organic compound o has a solubility in hexane of 66.0 g/l at 5. °c. calculate the greatest mass of o that could be dissolved in 6.0 l of hexane at temperature. you may assume the volume of the solution doesnt change as the o is dissolved. be sure your answer has the correct unit symbol and number of significant digits.

Explanation:

Step1: Use the solubility formula

Solubility \(S=\frac{m}{V}\), where \(S\) is solubility (\(\frac{g}{L}\)), \(m\) is mass (\(g\)), and \(V\) is volume (\(L\)). Rearranging for \(m\) gives \(m = S\times V\).

Step2: Substitute the values

Given \(S = 66.0\frac{g}{L}\) and \(V=6.0L\). Then \(m=66.0\frac{g}{L}\times6.0L\).

$$m = 66.0\times6.0g$$

$$m = 396g$$

But considering significant digits: \(66.0\) has three significant digits and \(6.0\) has two. When multiplying, the result should have two significant digits. So \(m = 4.0\times10^{2}g\)

Answer:

\(4.0\times 10^{2}g\)