Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2017
Exam
BITSAT
Year
2017
Subject
Physics
Chapter
Kinetic Theory of Gases

BITSAT 2017 · Physics · Kinetic Theory of Gases

A balloon is filled at 27 ° C and 1atm pressure by 500m^ 3 He . At...

A balloon is filled at 27°C27 ° C and 1atm1atm pressure by 500m3He500m^{3}He. At −3°C- 3 ° C and 0.5atm0. 5atm pressure, the volume of HeHe will be

Options

  1. A700m3700m^{3}
  2. B900m3900m^{3}
  3. C1000m31000m^{3}
  4. D500m3500m^{3}

Correct answer

B. 900m3900m^{3}

Step-by-step solution

We have, P1V1T1=P2V2T2\dfrac{{P}_{1}{V}_{1}}{T1} = \dfrac{{P}_{2}{V}_{2}}{T2}

or V2=P1V1T2P2T1{V}_{2} = \dfrac{{P}_{1}{V}_{1}{T}_{2}}{{P}_{2}{T}_{1}}

=1×500×(273−3)0.5×(273+27)=1×500×2700.5×300= \dfrac{1 \times 500 \times \left(273 - 3\right)}{0. 5 \times \left(273 + 27\right)} = \dfrac{1 \times 500 \times 270}{0. 5 \times 300}

V2=900m3{V}_{2} = 900m^{3}

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

In a mixture of gases, the average number of degree of freedoms per molecule is 6. The… BITSAT 2024The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas… BITSAT 2024Two vessels A and B are of the same size and are at same temperature. A contains 1 g of… BITSAT 2024A flask contains hydrogen and oxygen in the ratio of 2: 1 by mass at temperature 27^ ^ ∘… BITSAT 2023A bicycle tyre is filled with air having pressure of 270 kPa at 27^ ^ ∘ C . The… BITSAT 2023A monoatomic gas of molar mass m is kept in a insulated container. Container is moving… BITSAT 2022One mole of an ideal diatomic gas undergoes a process as shown in the figure. The molar… BITSAT 2022The temperature of an ideal gas is increased from 120 K to 480 K . If at 120 K , the root… BITSAT 2021 Full Kinetic Theory of Gases list All BITSAT PYQs