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Chapter 12: Problem 30

Write the equation that expresses Dalton's law of partial pressures.

Short Answer

Expert verified
The equation representing Dalton's Law of partial pressures is: \(P_T = P_1 + P_2 + P_3 + ... + P_n\).

Step by step solution

01

Definition of Dalton's law

Dalton's Law 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. A partial pressure is the pressure that each gas in a mixture would exert independently if it occupied the same volume on its own.
02

Expressing the law mathematically

To express this law in mathematical term, let's represent each individual gas with the letter \(P\) subscripted with a number. So the first gas is \(P_1\), the second gas is \(P_2\), the third gas is \(P_3\) and so on until \(P_n\), where \(n\) is the total number of individual gases. Then, under Dalton's law, the total pressure (denoted by \(P_T\)) can be represented as the sum of all these individual pressures: \(P_T = P_1 + P_2 + P_3 + ... + P_n\).
03

Final equation of Dalton's Law

The equation that represents Dalton's Law of partial pressures is then: \(P_T = P_1 + P_2 + P_3 + ... + P_n\) where \(P_T\) is the total pressure of the gas mixture, and \(P_1, P_2, P_3,...,P_n\) represent the partial pressure of each gas component.

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