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

Thermodynamics question

2023 · 8 Apr · Shift 1 · Q19
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. /JEE Main
  3. /Chemistry
  4. /Thermodynamics
  5. /2023 · 8 Apr · Shift 1 · Q19

Thermodynamics question

2023 · 8 Apr · Shift 1 · Q19

JEE MainChemistryThermodynamicsNumerical+4 / −1
When a 60 W60 \mathrm{~W}60 W electric heater is immersed in a gas for 100 s in a constant volume container with adiabatic walls, the temperature of the gas rises by 5∘C5^{\circ} \mathrm{C}5∘C. The heat capacity of the given gas is ‾JK−1\underline{\hspace{2cm}}\mathrm{J} \mathrm{K}^{-1}​JK−1 (Nearest integer)
Numerical answer
View written solutionFree

Correct answer: 1200

  1. Given data
  • Power of heater: P=60 W=60 J s−1P = 60\,\text{W} = 60\,\text{J s}^{-1}P=60W=60J s−1
  • Time for which heater is on: t=100 st = 100\,\text{s}t=100s
  • Temperature rise: ΔT=5∘C=5 K\Delta T = 5^\circ\text{C} = 5\,\text{K}ΔT=5∘C=5K
  1. Energy supplied by the heater

The electrical energy supplied is

Qsupplied=PtQ_{\text{supplied}} = PtQsupplied​=Pt

So,

Qsupplied=60×100=6000 JQ_{\text{supplied}} = 60 \times 100 = 6000\,\text{J}Qsupplied​=60×100=6000J

  1. Thermodynamic condition

The gas is in a constant volume container with adiabatic walls.

  • Adiabatic walls mean no heat is exchanged with surroundings.
  • The heater is inside the gas, so the electrical energy supplied goes entirely into increasing the internal energy of the gas.
  • At constant volume, no PVPVPV work is done.

Hence,

ΔU=6000 J\Delta U = 6000\,\text{J}ΔU=6000J

  1. Heat capacity of the gas

For the given sample of gas,

C=ΔUΔTC = \frac{\Delta U}{\Delta T}C=ΔTΔU​

Thus,

C=60005=1200 J K−1C = \frac{6000}{5} = 1200\,\text{J K}^{-1}C=56000​=1200J K−1

  1. Final answer

1200\boxed{1200}1200​

PreviousNext

More from Thermodynamics

  • For complete combustion of ethene. C2​H4​(g)+3O2​(g)→2CO2​(g)+2H2​O(l) the amount of heat produced as measured in bomb…2023 · Numerical
  • Given ΔH0 for the reaction C(graphite)+21​O2​(g)→CO(g) is : Includes table2023 · MCQ
  • The number of endothermic process/es from the following is ​. A. I2​( g)→2I(g) B. HCl(g)→H(g)+Cl(g)…2023 · Numerical
  • Solid fuel used in rocket is a mixture of Fe2​O3​ and Al(in ratio 1 : 2). The heat evolved (kJ) per gram of the mixture is ​. (Nearest integer) Given: ΔHfθ​(Al2​O3​)=−1700 kJ mol−1ΔHfθ​(Fe2​O3​)=−840 kJ mol−1…2023 · Numerical
  • The total number of intensive properties from the following is ​ Volume, Molar heat capacity, Molarity, Eθ cell, Gibbs free energy change, Molar mass, Mole2023 · Numerical
  • One mole of an ideal gas at 350 K is in a 2.0 L vessel of thermally conducting walls, which are in contact with the surroundings. It undergoes isothermal reversible expansion from 2.0 L to 3.0 L against…2023 · Numerical
  • A2​+B2​→2AB.ΔHf0​=−200 kJ mol−1 AB,A2​ and B2​ are diatomic molecules. If the bond enthalpies of A2​, B2​…2023 · Numerical
  • What happens when methane undergoes combustion in systems A and B respectively? Includes diagram2023 · MCQ