Given that the concentration of CO_(2) in soda is 0.5% by weight, how many grams of CO_(2) are in the bottle? 9.988 1008 1000 g 99.88

To solve this problem, we need to find the total weight of the soda in the bottle and then calculate the weight of $CO_{2}$ based on the given concentration.<br /><br />Given information:<br />- The concentration of $CO_{2}$ in soda is $0.5\%$ by weight.<br /><br />Let's assume the weight of the soda in the bottle is $W$ grams.<br /><br />The weight of $CO_{2}$ in the bottle can be calculated as:<br />\[ \text{Weight of } CO_{2} = \frac{0.5}{100} \times W \]<br /><br />Now, let's calculate the weight of $CO_{2}$ for each option:<br /><br />1. For $W = 9.988$ grams:<br />\[ \text{Weight of } CO_{2} = \frac{0.5}{100} \times 9.988 = 0.04994 \text{ grams} \]<br /><br />2. For $W = 1008$ grams:<br />\[ \text{Weight of } CO_{2} = \frac{0.5}{100} \times 1008 = 5.04 \text{ grams} \]<br /><br />3. For $W = 10008$ grams:<br />\[ \text{Weight of } CO_{2} = \frac{0.5}{100} \times 10008 = 50.04 \text{ grams} \]<br /><br />4. For $W = 99.88$ grams:<br />\[ \text{Weight of } CO_{2} = \frac{0.5}{100} \times 99.88 = 0.4994 \text{ grams} \]<br /><br />Based on the calculations, the correct answer is:<br />\[ \text{Weight of } CO_{2} = 5.04 \text{ grams} \]<br /><br />Therefore, the correct answer is:<br />\[ \boxed{1008} \]