
The vapor pressure of mercury is 0.0020 mmHg at
5.3 m wide, and 3.1 m high. Calculate the mass of mercury (in grams) vaporized at equilibrium and the concentration of mercury vapor

Interpretation:
The equilibrium constants
Concept introduction:
According to Dalton’s law, the total pressure of the mixture of a nonreactive gas is equal to the partial pressure of individual gases. The pressure exerted by the individual gas is called its partial pressure.
The ratio of the concentration of products and the concentration of reactants at equilibrium state in the chemical reaction is known as equilibrium constant.
Equilibrium constant is the ratio of the concentration of reactants and products present in the chemical reaction.
For a general reaction:
The general formula for writing equilibrium expression for the reaction is given as:
Here,
A and B are reactants, C is products, and
For the general reaction:
The general formula for writing equilibrium expression for the reaction is given as:
Here,
W and X are reactants, Y and Z are products, and
Equilibrium constants of gas phase reaction are written in terms of partial pressures because concentration of gases is directly proportional to partial pressures.
The relationship between
The relationship between
and
can be expressed as:
For converting
The relationship between meter and centimeter can be expressed as:
For converting meter to centimeter, conversion factor is
The relationship between
and
For converting
to
Answer to Problem 117AP
Solution:
a)
b)
Explanation of Solution
Given information:
The vapor pressure of mercury is
a)
The vapor pressure of mercury is equivalent to the partial pressure of mercury.
The conversion of partial pressure of mercury into
Equilibrium constant is expressed without units, so the equilibrium pressure constant is
The equilibrium constant
Here,
Substitute the values of
Hence,
b) The mass of mercury (in grams) vaporized at equilibrium and concentration of mercury vapor (in
)
The laboratory measurements are given as:
Length=
Breadth=
Height=
The volume of the lab is calculated as follows:
The total mass of mercury vapor is calculated as follows:
The concentration of mercury vapor in the room is calculated as follows:
Therefore, the concentration of mercury exceeds the safety limit of
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