Dalton's law of partial pressure states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of each individual gas in the mixture. This means that each gas in a mixture exerts its own pressure independently of the other gases present. The partial pressure of a gas is the pressure that gas would exert if it were the only gas in the container.
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Google Gemini AI
Jun 23
Dalton's Law of Partial Pressures
Statement: The total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of the individual gases.
Definition of Partial Pressure: The partial pressure of a gas in a mixture is the pressure that the gas would exert if it occupied the entire volume of the mixture alone.
Mathematical Equation: ``` Total Pressure = P = P1 + P2 + P3 + ... + Pn ``` where:
- P is the total pressure - Pi is the partial pressure of the ith gas - n is the number of gases in the mixture
Assumptions:
- The gases are non-reacting, meaning they do not interact chemically with each other. - The gases behave ideally, obeying the ideal gas law. - The gases are all at the same temperature.
Applications:
- Determining the partial pressure of individual gases in a mixture - Calculating the total pressure of a gas mixture - Analyzing the effects of different gas compositions on pressure - Used in fields such as scuba diving, meteorology, and gas chromatography
Example:
Suppose we have a mixture of nitrogen (N2) and oxygen (O2) in a closed container. The partial pressure of nitrogen is 20 kPa and the partial pressure of oxygen is 80 kPa. According to Dalton's law, the total pressure of the mixture is:
``` P = P1 + P2 P = 20 kPa + 80 kPa P = 100 kPa ```