3 in 1, but not your instant coffee

Chemistry Level 2

A gas jar contains three different gass $A, B, C$ . Let $p_i$ and $x_i$ denote the partial pressure and the mole fraction of a gas, respectively. Given that

$p_A+p_B=3625 \text{ Pa}$

$x_A+x_C=0.75$

$x_A=x_B,$

what is the total pressure of the gas mixture in the gas jar in Pascals ?

The answer is 7250.

1 solution

Christopher Boo
May 4, 2014

Note that,

$p_i=x_ip$

So the first equation can be written as

$(x_A+x_B)p=3625$

The sum of the mole fractions of components is always $1$ , so from the second equation, we have

$x_B=0.25$

Substitute the value and an additional information that $x_A=x_B$ into the first equation, we get

$(0.25+0.25)p=3625$

$p=7250 \text{Pa}$

arent there three gases

Aniket Bangroo - 7 years ago

3 in 1, but not your instant coffee

The answer is 7250.

1 solution

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