Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
States of Matter

NTA Abhyas 2020 · Chemistry · States of Matter

C O _ 2 gas is liquefied at 27 ^ o C . Gas follows the following...

CO2C{O}_{2} gas is liquefied at 27oC{27}^{o}C. Gas follows the following graph during liquefaction for 1 mole of CO2C{O}_{2}.
C O _ 2 gas is liquefied at 27 ^ o C . Gas follows the following graph during liquefaction for 1 mole of C O _ 2 . Then
Then which statement is (are) correct in gaseous phase will
(i) The maximum density of gas is 0.1 gm/ml
(ii) The density of liquid CO2C{O}_{2} is 1 g/ml at 60 atm.
(iii) At point C 50% of CO2C{O}_{2} is liquefied.
(iv) The compressibility factor of gas at 27oC{27}^{o}C is always less than 1.
Which of the above is/are correct

Options

  1. Aonly i
  2. Bi and ii
  3. Ci,ii and iii
  4. Dall

Correct answer

C. i,ii and iii

Step-by-step solution

(A)\left(A\right) Maximum density of CO2C{O}_{2} in gaseous phase will be at point 'A'
Now: d=PMRT=60×44R×300=107gm/lt=0.107gm/ccd = \dfrac{PM}{RT} = \dfrac{60 \times 44}{R \times 300} = 107gm / lt = 0.107gm / cc
Or d=massofgasVolumeofgas=44gm440cc=0.1d = \dfrac{massofgas}{Volumeofgas} = \dfrac{44gm}{440cc} = 0.1
(B)\left(B\right) Density of liquid CO2C{O}_{2} at 60 atm (at point B)
At point B there will be only liquid CO2C{O}_{2} . So we can find out the density of density of liquid CO2C{O}_{2} only at point B.
d=MV=440.044=1gm/cc\text{d} = \dfrac{M}{V} = \dfrac{44}{0.044} = 1\text{gm/cc}
(C)\left(C\right) at point C the volume will be 0.44+0.0442≈0.22L\dfrac{0.44 + 0.044}{2} \approx 0.22\text{L}
And pressure is same so obviously approx. half of CO2C{O}_{2} is liquified
(D)\left(D\right) Z can be greater than 1 at 27οC2{7}^{ο}C. For example at point 'A' Z is 1.07, So wrong.
Practice States of Matter on Quantrex Academy →

More from States of Matter

Two cylinders, both fitted with frictionless pistons, are filled with mixtures of He and… JEE Advanced 2026Molar volume (V_m) of a van der Waals gas can be calculated by expressing the van der… JEE Advanced 2025At the sea level, the dry air mass percentage composition is given as nitrogen gas… JEE Main 2025For a reaction, N_2 O_ 5(~g) arrow 2 NO_ 2(~g) +(1)/(2) O_ 2(~g) in a constant volume… JEE Main 2025A closed vessel contains 10 ~g of an ideal gas X at 300 ~K , which exerts 2 atm pressure.… JEE Advanced 2024A gas has a compressibility factor of 0 . 5 and a molar volume of 0 . 4 dm ^ 3 mol ^ - 1… JEE Advanced 2023A certain quantity of real gas occupies a volume of 0 . 15 dm ^ 3 at 100atm and 500K when… JEE Main 2023At 600K , the root mean square ( rms ) speed of gas X (molar mass = 40 ) is equal to the… JEE Main 2023 Full States of Matter list All NTA Abhyas JEE Main PYQs