The ratio of species heats <math> <mrow> <mrow> <mo>(</mo> <mrow> <mfrac> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>P</mi> </mrow> </msub> </mrow> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>V</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> </math> in terms of degree of freedom (f) is given by:

<!- [if gte mso 9]><xml> </xml><! [endif]-> C P C v = y = 1 + 2 / f

The ratio of species heats <math> <mrow> <mrow> <mo>(</mo> <mrow> <mfrac> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>P</mi> </mrow> </msub> </mrow> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>V</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> </math> in terms of degree of freedom (f) is given by:

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Thermodynamic Process Physics Thermodynamics Physics Class 11th

The ratio of species heats $(\frac{C_{P}}{C_{V}})$ in terms of degree of freedom (f) is given by:

Option 1 -

$(1 + \frac{f}{3})$

Option 2 -

$(1 + \frac{2}{f})$

Option 3 -

$(1 + \frac{f}{2})$

Option 4 -

$(1 + \frac{1}{f})$

1 View | Posted 2 months ago

Asked by Shiksha User

1 Answer

Answered by

alok kumar singh | Contributor-Level 10

2 months ago

Correct Option - 2

Detailed Solution:

$\frac{C_{P}}{C_{v}} = y = 1 + 2 / f$

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A calorimeter of water equivalent $20 g$ contains $180 g$ of water at $25^{?} C$ , ' $m$ ' grams of steam at $100^{?} C$ is mixed in it till the temperature of the mixture is $31^{?} C$ . The value of

alok kumar singh

Heat lost by steam $=$ Heat gained by water and calorimeter.

$\begin{array}{r} m \times 540 + m \times 1 \times (100 - 31) = 200 \\ 540 m + 69 m = 1200 \\ m = \frac{1200}{609} \approx 2 \end{array}$

Match List I with List II.

List I List II

(a) Isothermal (i) Pressure constant

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(d) Isobaric (iv) Heat content is constant

Choose the correct answer from the options given below:

alok kumar singh

In isothermal process, temperature is constant.

In isochoric process, volume is constant.

In adiabatic process, there is no exchange of heat.

In isobaric process, pressure is constant

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alok kumar singh

N_a -> Avogadro’s Number

$J β^{2} \equiv [μ k R] \Rightarrow β^{2} \equiv [k R] \Rightarrow β \equiv [k] \equiv [M L^{2} T^{- 2} K^{- 1}]$

, and

-> $S \equiv α^{2} β \Rightarrow [M L^{2} T^{- 2} K^{- 1}] \equiv α^{2} [M L^{2} T^{- 2} K^{- 1}] \Rightarrow α \equiv [M^{0} L^{2} T^{0} K^{0}]$ Dimensionless

In the reported figure, hear energy absorbed by a system in going through a cyclic process is_______ pJ.

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Heat absorbed in cyclic process = Work done = 100? Joule

The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0°C to 50°C when no work is done is___________. (R is the universal gas constant)

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Since process is isochoric, so

$Q = n C_{v} Δ T = n (\frac{f}{2} R) Δ T = 4 (\frac{5}{2} \times R) (50) = 500 R$

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The ratio of species heats $(\frac{C_{P}}{C_{V}})$ in terms of degree of freedom (f) is given by: