Vitamin a has a molecular formula c 20 h 30 o. How much no of molecules will vitamin a contian in 500mg capsule? ?
Plz tell me now tomorrow is my test .I will be very grateful of u. .
the molar mass is 20*C+30*H+O
where C,H,O are the atomic masses of the atoms.
Now divide 500g/molarmass * Avogadro's Number
review what moles are
To calculate the number of molecules in a given amount of a substance, we need to use the Avogadro's number, which is approximately 6.022 x 10^23 molecules per mole.
First, we need to determine the molar mass of Vitamin A (C20H30O). To do that, we need to calculate the sum of the atomic masses of all the atoms in one molecule of Vitamin A.
The atomic masses are as follows:
- C (Carbon): 12.01 g/mol
- H (Hydrogen): 1.01 g/mol
- O (Oxygen): 16.00 g/mol
For 20 Carbon atoms: 20 x 12.01 g/mol = 240.2 g/mol
For 30 Hydrogen atoms: 30 x 1.01 g/mol = 30.3 g/mol
For 1 Oxygen atom: 1 x 16.00 g/mol = 16.0 g/mol
Now, we can calculate the molar mass:
Molar mass of Vitamin A = 240.2 g/mol + 30.3 g/mol + 16.0 g/mol = 286.5 g/mol
Next, we need to convert the given mass of 500 mg into grams:
500 mg = 500/1000 = 0.5 g
Now we can use the following formula to calculate the number of moles:
Moles = Mass (g) / Molar mass (g/mol)
Moles = 0.5 g / 286.5 g/mol ≈ 0.001743 moles
Finally, to find the number of molecules, multiply the number of moles by Avogadro's number:
Number of molecules = Moles x Avogadro's number
Number of molecules = 0.001743 moles x 6.022 x 10^23 molecules/mol
Plugging in the values:
Number of molecules ≈ 1.048 x 10^21 molecules
Therefore, there are approximately 1.048 x 10^21 molecules of Vitamin A in a 500 mg capsule. Good luck with your test!