Answer :
There are approximately 57.618 grams of sucrose in the 12 oz can of Mountain Dew when the volume of sucrose occupies 36.2 cm³ of space.
To find out how many grams of sucrose are in a 12 oz can of Mountain Dew when the volume of sucrose occupies 36.2 cm³ of space, you need to use the density of sucrose and some unit conversions.
First, you need to convert the volume from cubic centimeters (cm³) to liters (L) because the density of sucrose is typically given in grams per milliliter (g/mL) or kilograms per liter (kg/L).
1 L = 1000 cm³
So, 36.2 cm³ is equivalent to 36.2 / 1000 = 0.0362 L.
Next, you need the density of sucrose. The density of sucrose is approximately 1.59 g/mL or 1590 kg/L. We will use the value in kilograms per liter.
Now, you can calculate the mass (in grams) of sucrose using the formula:
mass (g) = volume (L) × density (kg/L)
mass (g) = 0.0362 L × 1590 kg/L = 57.618 g
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