QuestionWhat pressure of carbon dioxide is needed to maintain a $\mathrm{CO}_{2}$ concentration of 0.67 M in a can of grape soda if the constant for $\mathrm{CO}_{2}$ is $1.3 \times 10^{-3} \mathrm{M} /$ atm at $25^{\circ} \mathrm{C}$ ?
Give your answer in atm to the nearest tenth. Do not put units in the answer space.

Studdy Solution
Solve for the pressure of carbon dioxide.
To find $P$, divide both sides of the equation by $1.3 \times 10^{-3}$:
$$P = \frac{0.67}{1.3 \times 10^{-3}}$$
Calculate the value:
$$P \approx 515.38$$
Round to the nearest tenth:
The pressure of carbon dioxide is approximately $\boxed{515.4}$ atm.