Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Heat and Thermodynamics question

2018 · Q129
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /NEET
  3. /Physics
  4. /Heat and Thermodynamics
  5. /2018 · Q129

Heat and Thermodynamics question

2018 · Q129

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1
At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth’s atmosphere?
(Given : Mass of oxygen molecule (m) = 2.76 × 10–26 kg, Boltzmann’s constant kB = 1.38 × 10–23 J K–1)
  1. A
    2.508 × 104 K
  2. B
    8.360 × 104 K
  3. C
    5.016 × 104 K
  4. D
    1.254 × 104 K
View written solutionFree

Correct answer: B

Escape velocity from the Earth’s surface is vescape = 11200 m s–1

Let at temperature T, rms speed of oxygen molecules become just sufficient for escaping from the Earth’s atmosphere.

Also, Vrms = Vescape = 3kBTmO2\sqrt {{{3{k_B}T} \over {{m_{{O_2}}}}}} mO2​​3kB​T​​

⇒\Rightarrow⇒ 11200 = 3×1.38×10−23×T2.76×10−26\sqrt {{{3 \times 1.38 \times {{10}^{ - 23}} \times T} \over {2.76 \times {{10}^{ - 26}}}}} 2.76×10−263×1.38×10−23×T​​

⇒\Rightarrow⇒ T = 8.360 × 104 K

PreviousNext

More from Heat and Thermodynamics

  • The efficiency of an ideal heat engine working between the freezing point and boiling point of water, is2018 · MCQ
  • A sample of 0.1 g of water at 100°C and normal pressure (1.013 × 105 N m–2) requires 54 cal of heat energy to convert to steam at 100°C. If the volume of the steam produced is 167.1 cc, the change in internal energy of the sample, is2018 · MCQ
  • The volume (V) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state A to state B, is Includes diagram2018 · MCQ
  • Thermodynamic processes are indicated in the following diagram. Match the following Includes table Includes diagram2017 · MCQ
  • A gas mixture consists of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is2017 · MCQ
  • A carnot engine having an efficiency of 101​ as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is2017 · MCQ
  • A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then2016 · MCQ
  • The molecules of a given mass of a gas have r.m.s. velocity of 2000 m s−1 at 27oC and 1.0 × 105 N m−2 pressure. When the temperature and pressure of the gas are respectively, 127oC and 0.05 × 105 N m−2, the r.m.s.…2016 · MCQ