Question

question 4
2 pts
calculate the density, in g/l, of cl₂(g) at stp.
0.316 g/l
46.9 g/l
3.16 g/l
2.13 g/l
1.58 g/l

Explanation:

Step1: Recall the formula for density of a gas

Density ($
ho$) of a gas is given by $
ho=\frac{m}{V}$. At STP (Standard Temperature and Pressure: $T = 273\ K$, $P=1\ atm$), 1 mole of any ideal gas has a volume $V = 22.4\ L$. The molar mass ($M$) of $Cl_2$: $M=(2\times35.45)\ g/mol=70.9\ g/mol$.

Step2: Calculate the density

Using $
ho=\frac{M}{V_{molar\ at\ STP}}$, substitute $M = 70.9\ g/mol$ and $V_{molar\ at\ STP}=22.4\ L/mol$.
$
ho=\frac{70.9\ g}{22.4\ L}\approx3.16\ g/L$

Answer:

3.16 g/L