If density of vapours of a substance of molar mass 18gm/mole at 1atm pressure and 500K is 0.36kgm^ - 3 , then value of Z for the vapours is (Take R = 0.082L atm mole^ - 1 ^ − ^ 1 )

Correct answer: B. (50)/(41) V _ real = (molarmass)/(density) = (18)/(0.36) V _ ideal = (nRT)/(P) = (1 × 0.082 × 500)/(1) So, Z = V _ real V _ ideal = (50)/(0.082 × 500) = (50)/(41)

NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Chemistry
Chapter: States of Matter

NTA Abhyas 2020 · Chemistry · States of Matter

If density of vapours of a substance of molar mass 18gm/mole at...

If density of vapours of a substance of molar mass

\text{18}\text{gm/mole}

\text{1}\text{atm}

pressure and

\text{500}\text{K}

0.36\text{kg}m^{- 3}

, then value of

\text{Z}

for the vapours is (Take

\text{R} = 0.082\text{L}{\text{atm mole}^{- 1} {\textK^{−} {}^{1}

)

Options

A $\dfrac{41}{50}$
B $\dfrac{50}{41}$
C $1.8$
D $0.9$

Correct answer

B. $\dfrac{50}{41}$

Step-by-step solution

{V}_{real} = \dfrac{molarmass}{density} = \dfrac{18}{0.36}

{V}_{ideal} = \dfrac{nRT}{P} = \dfrac{1 \times 0.082 \times 500}{1}

So,

Z = \dfrac{{V}_{real}}{{V}_{ideal}} = \dfrac{50}{0.082 \times 500} = \dfrac{50}{41}

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 2026 Molar volume (V_m) of a van der Waals gas can be calculated by expressing the van der… JEE Advanced 2025 At the sea level, the dry air mass percentage composition is given as nitrogen gas… JEE Main 2025 For a reaction, N_2 O_ 5(~g) arrow 2 NO_ 2(~g) +(1)/(2) O_ 2(~g) in a constant volume… JEE Main 2025 A closed vessel contains 10 ~g of an ideal gas X at 300 ~K , which exerts 2 atm pressure.… JEE Advanced 2024 A gas has a compressibility factor of 0 . 5 and a molar volume of 0 . 4 dm ^ 3 mol ^ - 1… JEE Advanced 2023 A certain quantity of real gas occupies a volume of 0 . 15 dm ^ 3 at 100atm and 500K when… JEE Main 2023 At 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