Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Specific Heat Capacities of Gases

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Specific Heat Capacities of Gases

One mole of an ideal gas is kept in a rigid container of negligible...

One mole of an ideal gas is kept in a rigid container of negligible heat capacity. If 3.0 cal3.0 \text{ cal} of heat is supplied to the gas, its temperature rises by 1^{}^{{}^{\circ}} \text{C}. This gas could be

Options

  1. Ahelium
  2. Bargon
  3. Coxygen
  4. Dcarbon dioxide

Correct answer

B. argon

Step-by-step solution

For an isochoric process, the work done is zero. According to the first law of thermodynamics, the heat supplied is equal to the change in internal energy.

ΔQ=ΔU=nCvΔT\Delta Q = \Delta U = n C_v \Delta T

Substituting the given values:

3.0=1×Cv×13.0 = 1 \times C_v \times 1

Cv=3.0 cal mol−1 K−1C_v = 3.0 \text{ cal mol}^{-1} \text{ K}^{-1}

The molar heat capacity at constant volume is related to the degrees of freedom ff by Cv=f2RC_v = \dfrac{f}{2} R.

Using R≈2 cal mol−1 K−1R \approx 2 \text{ cal mol}^{-1} \text{ K}^{-1}:

3.0=f2×23.0 = \dfrac{f}{2} \times 2

f=3f = 3

A gas with 33 degrees of freedom is a monatomic gas. Among the given options, helium and argon are monatomic gases.
Practice Specific Heat Capacities of Gases on Quantrex Academy →

More from Specific Heat Capacities of Gases

The ratio of molar heat capacities for an ideal gas is given as C_p / C_V = 7/6 . Find… Concepts Of Physics MCQ Edition [Volume 2]An ideal gas has a molar heat capacity ratio of C_p / C_V = 7/6 . Determine the change in… Concepts Of Physics MCQ Edition [Volume 2]As illustrated in the figure, a cylindrical container holds oxygen ( γ = 1.4 ) and is… Concepts Of Physics MCQ Edition [Volume 2]A vessel containing one mole of a monatomic ideal gas (molecular weight = 20 g mol^ -1 )… Concepts Of Physics MCQ Edition [Volume 2]When 50 J of heat is supplied to an ideal gas, it expands from 100 cm^3 to 200 cm^3 at a… Concepts Of Physics MCQ Edition [Volume 2]An ideal gas expands from 100 cm^3 to 200 cm^3 at a constant pressure of 2.0 × 10^5 Pa… Concepts Of Physics MCQ Edition [Volume 2]An ideal gas expands from 100 cm^3 to 200 cm^3 at a constant pressure of 2.0 × 10^5 Pa… Concepts Of Physics MCQ Edition [Volume 2]During a particular process, a monatomic ideal gas absorbs an amount of heat Q and… Concepts Of Physics MCQ Edition [Volume 2] Full Specific Heat Capacities of Gases list All Concepts Of Physics MCQ Edition [Volume 2] PYQs