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

2023 · Q127
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. /2023 · Q127

Heat and Thermodynamics question

2023 · Q127

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1

The temperature of a gas is −50∘C-50^{\circ} \mathrm{C}−50∘C. To what temperature the gas should be heated so that the rms speed is increased by 333 times?

  1. A
    3295∘C3295^{\circ} \mathrm{C}3295∘C
  2. B
    3097 K3097 \mathrm{~K}3097 K
  3. C
    223 K223 \mathrm{~K}223 K
  4. D
    669∘C669^{\circ} \mathrm{C}669∘C
View written solutionFree

Correct answer: A

$$v_{\mathrm{rms}} \propto \sqrt{T}$$

$$\frac{\mathrm{v}_{1}}{\mathrm{v}_{2}}=\sqrt{\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}}$$

$=$ let initial speed is $\mathrm{v}$

As speed is increased by $3$ times so final speed become $4 v$

$$\Rightarrow \frac{\mathrm{v}}{4 \mathrm{v}}=\sqrt{\frac{223}{\mathrm{~T}}}$$

$$\mathrm{T}=3568 \mathrm{~K}$$

So temp. in $${ }^{\circ} \mathrm{C}=3568-273=3295^{\circ} \mathrm{C}$$

PreviousNext

More from Heat and Thermodynamics

  • A Carnot engine has an efficiency of 50% when its source is at a temperature 327∘C. The temperature of the sink is :-2023 · MCQ
  • An ideal gas follows a process described by the equation PV2=C from the initial (P1​,V1​,T1​) to final (P2​,V2​,T2​) thermodynamic states, where C is a constant. Then2022 · MCQ
  • Two rods one made of copper and other made of steel of same length and same cross sectional area are joined together. The thermal conductivity of copper and steel are 385 J s−1 K−1 m−1 and 50 J s−1 K−1 m−1 respectively. The…2022 · MCQ
  • Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic), the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct…2022 · MCQ
  • An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric and isochoric. The curve which represents the adiabatic process among 1, 2, 3 and… Includes diagram2022 · MCQ
  • The volume occupied by the molecules contained in 4.5 kg water at STP, if the intermolecular forces vanish away is2022 · MCQ
  • A cup of coffee cools from 90∘C to 80∘C in t minutes, when the room temperature is 20∘C. The time taken by a similar cup of coffee to cool from 80∘C to 60∘C at a room temperature same at 20∘C is :2021 · MCQ
  • Match Column - I and Column - II and choose the correct match from the given choices. Includes table2021 · MCQ