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

Two glass bulbs X and Y are connected by a very small tube having a...

Two glass bulbs X and Y are connected by a very small tube having a stop-cock. Bulb X has a volume of 100 cm3cm^{3} and contained the gas; while bulb Y was empty. On opening the stop-cock, the pressure fell down to 60%. The volume of the bulb Y must be

Options

  1. A132.32\text{c}{\textm^{3}
  2. B124\text{c}{\textm^{3}
  3. C66.66\text{c}{\textm^{3}
  4. D150\text{c}{\textm^{3}

Correct answer

C. 66.66\text{c}{\textm^{3}

Step-by-step solution

P1=1atm{P}_{1} = 1\text{atm}
P2=1 atm×60100=0.60atm{P}_{2} = \text{1 atm} \times \dfrac{60}{100} = 0.60\text{atm}
V1=100cm3{V}_{1} = 100\text{c}m^{3}
V2=?{V}_{2} = ?
At constant temperature, P1V1=P2V2{P}_{1}{V}_{1} = {P}_{2}{V}_{2}
So V2=P1V1P2{V}_{2} = \dfrac{{P}_{1}{V}_{1}}{{P}_{2}}
−1atm×100 cm30.60atm- \dfrac{1\text{atm} \times \text{100 c}m^{3}}{0.60\text{atm}}
=166.66cm3= 166.66\text{c}m^{3}
Hence, the volume of bulb Y=(166.66−100)cm3Y = ( 166.66 - 100 ) cm^{3}
=66.66cm3= 66.66cm^{3}
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