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. .
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To determine the number of molecules in the 500mg capsule of vitamin A, we can follow these steps:
1. Calculate the molar mass of vitamin A:
- The molecular formula of vitamin A is C20H30O.
- The molar mass of one carbon atom (C) is approximately 12.01 g/mol.
- The molar mass of one hydrogen atom (H) is approximately 1.008 g/mol.
- The molar mass of one oxygen atom (O) is approximately 16.00 g/mol.
- Multiply the molar mass of carbon by 20, the molar mass of hydrogen by 30, and the molar mass of oxygen by 1, respectively.
- Add the individual molar masses together to find the total molar mass of vitamin A.
2. Convert the mass of the capsule from milligrams (mg) to grams (g). There are 1000 milligrams in one gram.
3. Use Avogadro's number, which is approximately 6.022 x 10^23, to calculate the number of molecules in one mole of the compound.
4. Apply the following formula to calculate the number of molecules in the capsule:
Number of molecules = (mass of the capsule in grams / molar mass of vitamin A) x Avogadro's number.
Let's work through the calculations:
1. The molar mass of vitamin A:
- Carbon (C): 12.01 g/mol x 20 = 240.2 g/mol
- Hydrogen (H): 1.008 g/mol x 30 = 30.24 g/mol
- Oxygen (O): 16.00 g/mol x 1 = 16.00 g/mol
- Molar mass of vitamin A = 240.2 g/mol + 30.24 g/mol + 16.00 g/mol = 286.44 g/mol.
2. Convert the mass of the capsule:
- The mass of the capsule is 500 mg = 500/1000 g = 0.5 g.
3. Avogadro's number: N = 6.022 x 10^23 molecules/mol.
4. Calculate the number of molecules in the capsule:
Number of molecules = (0.5 g / 286.44 g/mol) x (6.022 x 10^23 molecules/mol).
By plugging the values into the formula and performing the calculation, you will find the number of molecules in the 500 mg vitamin A capsule.