Question

The equation of state corresponding to 8 gm of Oxygen (O2) is : PV=RT,RT/4,RT/3 or RT/2?

Answer 1

Answer: Option (b) is the correct answer.

Step-by-step explanation:

According to ideal gas equation, the product of pressure and volume is equal to the product of universal gas constant and absolute temperature.

Mathematically, PV = nRT ........... (1)

where P = pressure

V = volume

n = number of moles

R = gas constant

T = temperature

Also, number of moles =
`(mass of atom)/(molar mass of the atom)`

Therefore, number of moles of oxygen atom will be as follows.

Number of moles =
`(mass of atom)/(molar mass of the atom)`

=
`(8)/(32)`

=
`(1)/(4)`

Thus, putting the value of n into equation (1) as follows.

PV = nRT

or PV =
`(1)/(4)RT`

Answer 2

In PV = nRT, n is the number of moles. When 8 grams of oxygen are present,
n = 8/32 = 1/4
So PV = RT/4