Question

At the same temperature and pressure, which sample contains the same number of moles of particles as 1L O2?
At the same temperature and pressure, which sample contains the same number of moles of particles as 1 liter of O2(g)?

a. 2 L N2(g)
b. 1 L Ne(g)
c. 0.5 L SO2(g)
d. 1 L H2O(l)

Answer 1

Answer : The correct option is (b).

Explanation :

Using ideal gas law,

$PV=nRT$

where,

P = pressure of gas

V = volume of gas

n = number of moles

R = Gas constant

T = temperature of gas

At the same temperature and pressure, the number of moles depends on the volume of gas only. That means the number of moles is directly proportional to the volume of gas known as Avogadro's Law.

$\frac{V}{n}=constant$  (at constant pressure and temperature)

The given sample $O_2$ volume = 1 L

So, the sample having the same number of moles as $O_2$ will have the same volume as $O_2$, which is 1 L.

Hence, the correct option is (b) 1 L Ne(g) contains the same number of moles of particles as 1 L $O_2$.