Home
Class 11
CHEMISTRY
The compressibility factor (Z=PV//nRT) f...

The compressibility factor `(Z=PV//nRT)` for `N_(2)` at `223 K` and `81.06 MPa` is `1.95`, and at `373 K` and `20.265 MPa`, it is `1.10`. A certain mass of `N_(2)` occupies a volume of `1.0 dm^(3)` at `223 K` and `81.06 MPa`. Calculate the volume occupied by the same quantity of `N_(2)` at `373 K` and `20.265 MPa`.

A

`3.774 dm^(3)`

B

`2.77 dm^(3)`

C

`5.07 dm^(3)`

D

`9.30 dm^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
For T = 223 K, P = 81.06 Mpa, Z = 1.95, and `V=1.0 dm^(3)=10^(3)cm^(3)`, we have
`n=(PV)/(ZRT)=(81.06xx10^(3))/(1.95xx8.314xx223)=22.42` mol
Now, at T = 373 K, P = 20,265 Mpa, Z = 1.10, the volume occupied will be
`V=(ZnRT)/(P)=(1.10xx22.42xx8.314xx373)/(20.265)=3774.0 cm^(3)`
`therefore V=3.774 dm^(3)`
Promotional Banner

Topper's Solved these Questions

  • STATES OF MATTER

    NCERT FINGERTIPS|Exercise NCERT Exemplar|10 Videos

  • STATES OF MATTER

    NCERT FINGERTIPS|Exercise NCERT (EXEMPLAR PROBLEMS)|2 Videos

  • STATES OF MATTER

    NCERT FINGERTIPS|Exercise HOTS (HIGHER ORDER THINKING SKILLS)|2 Videos

  • SOME BASIC CONCEPTS OF CHEMISTRY

    NCERT FINGERTIPS|Exercise Assertion And Reason|10 Videos

  • STRUCTURE OF ATOM

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

The compressibility factor for nitrogen at 330K and 800 atm is 1.90 and at 570K and 200 atm is 1.10 . A certain mass of N_(2) occupies a volume of 1dm^(3) at 330K and 800 atm calculate volume occupied by same quantity of N_(2) gas at 570 K and 200 atm

1 mol of SO_(2) occupies a volume of 350 mL at 300 K and 50 atm pressure. Calculate the compressibility factor of the gas.

A sample of gas occupies a volume of 9.23L at 345K and 1.40atm. What is its volume at 525K and 3.20 atm?

At a given temperature, 1 mole O_(2) occupy 20dm^(3) of volume. Thes volume occupied by 1 equivalent of O_(2) is

1.00 mol of N_(2) and 3.00 mol of H_(2) are present in a container of volume 10.0 dm^(3) at 298 K. What is the total pressure of the mixture?

Calculate the compressibility factor for SO_(2) if 1 mole of it occupies 0.35 litre at 300K and 50 atm pressure Comment on the result .

Calculate the compressibility factor for SO_(2) if 1 mole of it occupies 0.35 litre at 300K and 50 atm pressure Comment on the result .

At 300 K, a certain mass of a gas occupies 1 xx 10^(-4) dm^(3) volume. Its volume at 450 K at the same pressure is "_____________" .