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A boy drinks 500 mL of 9% glucose solution. Calculate the number of glucose molecules has consumed (NA = 6.02×1023): [Give answer in the multiple of 1023 rounded up to two decimal places]
Correct answer is between '1.45,1.55'. Can you explain this answer?
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A boy drinks 500 mL of 9% glucose solution. Calculate the number of gl...
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A boy drinks 500 mL of 9% glucose solution. Calculate the number of gl...
The first step is to calculate the amount of glucose in the solution. To do this, we can use the formula:
Amount of glucose = volume of solution * concentration of glucose
Given that the volume of the solution is 500 mL and the concentration of glucose is 9%, we can plug these values into the formula:
Amount of glucose = 500 mL * 9% = 500 mL * 0.09 = 45 grams
Next, we need to convert the amount of glucose from grams to moles. To do this, we can use the molar mass of glucose, which is 180.16 g/mol. We can calculate the number of moles using the formula:
Number of moles = Amount of glucose / molar mass
Number of moles = 45 g / 180.16 g/mol = 0.249 moles
Finally, to calculate the number of glucose molecules, we can use Avogadro's number (NA = 6.02 x 10^23 molecules/mol). We can multiply the number of moles by Avogadro's number to get the number of glucose molecules:
Number of glucose molecules = Number of moles * Avogadro's number
Number of glucose molecules = 0.249 moles * 6.02 x 10^23 molecules/mol
Number of glucose molecules = 1.497 x 10^23 molecules
Amount of glucose = volume of solution * concentration of glucose
Given that the volume of the solution is 500 mL and the concentration of glucose is 9%, we can plug these values into the formula:
Amount of glucose = 500 mL * 9% = 500 mL * 0.09 = 45 grams
Next, we need to convert the amount of glucose from grams to moles. To do this, we can use the molar mass of glucose, which is 180.16 g/mol. We can calculate the number of moles using the formula:
Number of moles = Amount of glucose / molar mass
Number of moles = 45 g / 180.16 g/mol = 0.249 moles
Finally, to calculate the number of glucose molecules, we can use Avogadro's number (NA = 6.02 x 10^23 molecules/mol). We can multiply the number of moles by Avogadro's number to get the number of glucose molecules:
Number of glucose molecules = Number of moles * Avogadro's number
Number of glucose molecules = 0.249 moles * 6.02 x 10^23 molecules/mol
Number of glucose molecules = 1.497 x 10^23 molecules
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A boy drinks 500 mL of 9% glucose solution. Calculate the number of glucose molecules has consumed (NA = 6.02×1023): [Give answer in the multiple of 1023 rounded up to two decimal places]Correct answer is between '1.45,1.55'. Can you explain this answer?
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