The characteristics of a certain gas are listed in the table.
Characteristics of a Gas
Characteristic Description
Compound
Chlorine gas
Condition
STP
Mass
3.2 grams
What is the expected density of the above sample of gas?
03.16 g/L
1.58 g/L
1.21 g/L
1.03 g/L

3.16g/L

Explanation:

We'll begin by obtaining an equation for the density. This is illustrated below:

From the ideal gas equation:

PV = nRT (1)

But n = Mass(m) /Molar Mass (M)

n = m/M

Substituting the value of n into equation 1, we have:

PV = nRT

PV = mRT/M

Now, divide both side by P

V = mRT/MP

Next, divide both by m

V/m = RT/MP

Next, invert the above equation

m/V = PM/RT. (2)

Recall:

Density (D) = Mass (m) /Volume (V)

D = m/V

Now, replace m/V in equation 2 by D, we have:

m/V = PM/RT

D = PM/RT

Data obtained from from the question include:

P (pressure) = stp = 1atm

T (temperature) = stp = 273K

R (gas constant) = 0.0821atm.L/Kmol

M (molar mass of Cl2) = 2 x 35.45 = 70.9g/mol

D (Density) =?

Now, applying the derived formula D = PM/RT, the density of chlorine gas (Cl2) can be obtained as follow:

D = PM/RT

D = (1 x 70.9)/(0.0821 x 273)

D = 3.16g/L

Therefore, the density of the chlorine gas is 3.16g/L

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