Final answer:
To determine how many teaspoons of sugar are in a 2.0 L bottle of cola, we can use dimensional analysis. First, find the number of grams of sugar in the bottle of cola by setting up a conversion. Then, convert grams of sugar to teaspoons using another conversion. The answer is 52 teaspoons of sugar.
Step-by-step explanation:
To determine how many teaspoons of sugar are in a 2.0 L bottle of cola, we can use dimensional analysis.
First, we need to find the number of grams of sugar in the 2.0 L bottle of cola. We know that a 355 mL can of cola contains 39 g of sugar, so we can set up the following conversion:
39 g sugar / 355 mL cola = x g sugar / 2000 mL cola
Cross-multiplying and solving for x, we find that x = (39 g sugar / 355 mL cola) * 2000 mL cola = 219.72 g sugar.
Next, we need to convert grams of sugar to teaspoons. We know that 1.0 teaspoons of sugar is equal to 4.2 g, so we can set up the following conversion:
4.2 g sugar / 1.0 teaspoons = 219.72 g sugar / y teaspoons
Solving for y, we find that y = (219.72 g sugar / 4.2 g sugar) * 1.0 teaspoons = 52 teaspoons of sugar.
Therefore, there are 52 teaspoons of sugar in a 2.0 L bottle of cola.