Respuesta :
Answer: The mass of β-carotene in the sample is [tex]2.43\times 10^{-6}g[/tex]
Explanation:
To calculate the mass of solute, we use the equation used to calculate the molarity of solution:
[tex]\text{Molarity of the solution}=\frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (in mL)}}[/tex]
Given mass of β-carotene = ? g
Molar mass of β-carotene = 536.85 g/mol
Molarity of solution = [tex]2.209\times 10^{-6}mol/L[/tex]
Volume of solution = 2.50 mL
Putting values in above equation, we get:
[tex]2.209\times 10^{-6}mol/L=\frac{\text{Mass of }\beta\text{ -carotene}\times 1000}{536.85\times 2.05}\\\\\text{Mass of }\beta\text{ -carotene}=\frac{2.209\times 10^{-6}\times 536.85\times 2.05}{1000}=2.43\times 10^{-6}g[/tex]
Hence, the mass of β-carotene in the sample is [tex]2.43\times 10^{-6}g[/tex]
Answer:
Mass β-carotene = 0.000002964754125 grams = 0.002964754125 mg = 2.964754125 µgrams
Explanation:
Step1: Data given
Volume = 2.50 mL = 0.0025 L
Molarity = 2.209 * 10^-6 M
The molar mass of β-carotene is 536.85 g/mol
Step 2: Calculate moles β-carotene
Moles β-carotene = molarity * volume
Moles β-carotene = 2.209 * 10^-6 M * 0.0025 L
Moles β-carotene = 0.0000000055225 = 5.5*10^-9 moles
Step 3: Calculate mass of β-carotene
Mass β-carotene = moles β-carotene ¨molar mass β-carotene
Mass β-carotene = 5.5*10^-9 moles *536.85 g/mol
Mass β-carotene = 0.000002964754125 grams = 0.002964754125 mg = 2.964754125 µgrams
