
Cortisone is a molecular substance containing 21 atoms of carbon per molecule. The mass percentage of carbon in cortisone is 69.98%. What is the molecular mass of cortisone?
Answer
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Hint: We know that mass percentage is a way of expressing the concentration of components in a mixture. So, from the mass percentage definition we can easily find the molar mass of compound or mixture.
Complete Step by step answer:
- We have given that cortisone is a molecular substance which has 21 atoms of carbons per molecule, also the mass percentage of carbon in cortisone is 69.98%.
- Now, let us understand what mass percentage is. Mass percentage can be defined as the mass of an element present in 100g of its compound or mixture.
- So here let us consider we have 100g of cortisone that means that 100g of cortisone 69.98g is carbon, this is the information we get from the mass percentage of carbon.
- Therefore, we can say in 1g of carbon we will have of cortisone. Also the mass of carbon is 12g, then the mass of 21 atoms of carbon will be
Hence 252g of carbon will have
Molecular mass of cortisone =
Molecular mass of cortisone = 360.10g
Approximately we can say the molecular mass of cortisone is 360g.
Note: Apart from using the definition we can also find the molecular mass of cortisone by mathematical equation. Bye definition of mass percentage,
Here, we can consider solute as the carbon atom and the solution is cortisone.
Also given that the mass percentage of carbon is 69.98.
Substituting this into the equation, we get
Therefore, the molecular mass of cortisone is 360.10g.
Complete Step by step answer:
- We have given that cortisone is a molecular substance which has 21 atoms of carbons per molecule, also the mass percentage of carbon in cortisone is 69.98%.
- Now, let us understand what mass percentage is. Mass percentage can be defined as the mass of an element present in 100g of its compound or mixture.
- So here let us consider we have 100g of cortisone that means that 100g of cortisone 69.98g is carbon, this is the information we get from the mass percentage of carbon.
- Therefore, we can say in 1g of carbon we will have
Hence 252g of carbon will have
Molecular mass of cortisone =
Approximately we can say the molecular mass of cortisone is 360g.
Note: Apart from using the definition we can also find the molecular mass of cortisone by mathematical equation. Bye definition of mass percentage,
Here, we can consider solute as the carbon atom and the solution is cortisone.
Also given that the mass percentage of carbon is 69.98.
Substituting this into the equation, we get
Therefore, the molecular mass of cortisone is 360.10g.
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