Question

At a certain temperature the vapor pressure of water is 32 torr. The pressure of the gas in a soda bottle (carbonated water) is measured to be 890 torr. What is the pressure (in torr) of the carbon dioxide in the soda bottle?

Answer 1

Answer: The partial pressure of carbon dioxide is 858 torr

Explanation:

Dalton's law of partial pressure states that the total pressure of the system is equal to the sum of partial pressure of each component present in it.

To calculate the partial pressure of hydrogen gas, we use the law given by Dalton, which is:

$P_T=p_{CO_2}+p_{H_2O}$

We are given:

Total pressure of the carbonated drink, $P_T$ = 890 torr

Vapor pressure of water, $p_{H_2O}$ = 32 torr

Putting values in above equation, we get:

$890=p_{CO_2}+32\\\\p_{CO_2}=890-32=858torr$

Hence, the partial pressure of carbon dioxide is 858 torr.