Question:
The molar specific heats of an ideal gas at constant pressure and volume are denoted by $C_p$ and $C_V$ respectively. If $ γ = \frac{C_P}{C_v}$ and R is the universal gas constant, then $C_V$ is equal to
The molar specific heats of an ideal gas at constant pressure and volume are denoted by $C_p$ and $C_V$ respectively. If $ γ = \frac{C_P}{C_v}$ and R is the universal gas constant, then $C_V$ is equal to
Updated On: May 21, 2024
- $\frac{1+γ}{1-γ}$
- $\frac{R}{1-γ}$
- $\frac{1-γ}{R}$
- $γR$
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B): $\frac{R}{1-γ}$
Was this answer helpful?
0
0
Top Questions on Ideal Gases
- The following graph represents the T-V curves of an ideal gas ( where T is the temperature and V the volume) at three pressures P1, P2 and P3 compared with those of Charles's law represented as dotted lines.
Then the correct relation is :- NEET (UG) - 2024
- Physics
- Ideal Gases
- The canonical partition function of an ideal gas is given by \( Q(T,V,N) = \frac{1}{N!} \left( \frac{V}{\lambda(T)^3} \right)^N \), where \( T \), \( V \), \( N \), and \( \lambda(T) \) denote temperature, volume, number of particles, and thermal de Broglie wavelength, respectively. Let \( k_B \) be the Boltzmann constant and \( \mu \) be the chemical potential. Using \( \ln(N!) = N \ln(N) - N \), if the number density \( \left( \frac{N}{V} \right) \) is \( 2.5 \times 10^{25} \) m\(^{-3} \) at temperature \( T \), then \( e^{\mu/(k_B T)} / (\lambda(T))^3 \times 10^{-25} \) is ___ m\(^{-3} \) (rounded off to one decimal place).
- GATE PH - 2024
- Physics
- Ideal Gases
- The r.m.s. speed of hydrogen atom at room temperature (300 K) is 2000 m/s. What is the r.m.s. speed of hydrogen atom on the surface of sun where temperature is T = 2x106 K?
- CUET (PG) - 2023
- Physics
- Ideal Gases
- The molar volume of an ideal gas at 500 K and 100 bar is 0.416 dm3 mol-1. Under the same conditions the molar volume of carbon di oxide is 0.366 dm3 mol-1. Based on this information which statement is correct for carbon dioxide.
- CUET (PG) - 2023
- Chemistry
- Ideal Gases
- What is the relation between Boyle temperature (TB) and critical temperature (Tc) of a gas?
- CUET (PG) - 2023
- Physics
- Ideal Gases
Questions Asked in NEET exam
- Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The potential (V) at any axial point, at 2 m distance(r) from the centre of the dipole of dipole moment vector \(\vec{P}\) of magnitude, 4 × 10-6 C m, is ± 9 × 103 V.
(Take \(\frac{1}{4\pi\epsilon_0}=9\times10^9\) SI units)
Reason R : \(V=±\frac{2P}{4\pi \epsilon_0r^2}\), where r is the distance of any axial point, situated at 2 m from the centre of the dipole.
In the light of the above statements, choose the correct answer from the options given below :- NEET (UG) - 2024
- Magnetic Field
- Given below are two statements:
Statement I: Mitochondria and chloroplasts both double membranes bound organelles.
Statement II: Inner membrane of mitochondria is relatively less permeable, as compared chloroplast. I
In the light of the above statements, choose the mis appropriate answer from the options given below- NEET (UG) - 2024
- Cell structure and organelles
- Match List I with List II:Choose the correct answer from the options given below:
List I
List II
A Mesozoic Era I Lower invertebrates B Proterozoic Era II Fish & Amphibia C Cenozoic Era III Birds & Reptiles D Paleozoic Era IV Mammals - NEET (UG) - 2024
- Origin Of Life
- A parallel plate capacitor is charged by connecting it to a battery through a resistor. If I is the current in the circuit, then in the gap between the plates :
- NEET (UG) - 2024
- Capacitors and Capacitance
- The terminal voltage of the battery, whose emf is\(10V\) and internal resistance \(1\), when connected through an external resistance of \(42\) as shown in the figure is:
- NEET (UG) - 2024
- Resistance and Resistivity
View More Questions