Respuesta :
ANSWER
The mass of NaOH in grams is 4.0 grams
EXPLANATION
Given data
The volume of the solution = 100 ml
The molarity of the solution = 1 M
To find the mass of NaOH in grams. follow the steps below
Step 1: Find the number of moles by applying the molarity formula
[tex]n\text{ = C}\times v[/tex]Where
n = the number of moles
C = Concentration in molarity
v = volume of the solution in liters
Step 2:convert the volume of the solution from ml to l
[tex]\begin{gathered} \text{ 1ml is equivaent to 0.001l} \\ Hence,\text{ } \\ 100ml\text{ = 100 }\times\text{ 0.001} \\ 100ml\text{ = 0.1l} \end{gathered}[/tex]Step 3: substitute the given data into the formula in step 1
[tex]\begin{gathered} n\text{ = cv} \\ n\text{ = 1 }\times\text{ 0.1} \\ n\text{ = 0.1 mol} \end{gathered}[/tex]Hence, the number of moles of NaOH is 0.1 mol
Step 4: Find the mass in grams by using the below formula
[tex]\text{ Mole = }\frac{\text{ mass}}{\text{ molar mass}}[/tex]Recall, that the molar mass of NaOH is 39.997 g/mol
Step 5: substitute the given data into the formula in step 4
[tex]\begin{gathered} \text{ Mole = }\frac{\text{ mass}}{\text{ molar mass}} \\ 0.1\text{ = }\frac{mass}{39.997} \\ cross\text{ multiply} \\ mass\text{ = 0.1 }\times\text{ 39.997} \\ \text{ Mass = 3.997 grams} \\ \text{ Mass}\approx\text{ 4.0 grams} \end{gathered}[/tex]Hence, the mass of NaOH in grams is 4.0 grams
