Identify the process

JEE Main Guidance › Thermal physics questions › Identify the process

For a certain process ,the molar heat capacity of an ideal gas is C_V+ R/2.
Then identify the process
a)PV=constant
b)P/V=constant
c)V²/P=constant

#Physics #Thermal physics

UP 0 DOWN 0 1 3
Post on FacebookPost anonymously?

3 Answers

106

Asish Mahapatra ·2009-08-24 19:02:45

C = Cv + R/2
=> Î”Q = nCÎ”T = nCvÎ”T + nRÎ”T/2
=> Î”Q = Î”U + nRÎ”T/2
=> W = nRÎ”T/2

Consider pVⁿ=c
W = âˆ«c/VⁿdV
= cV^-n+1/(-n+1) l_V1^V2
W= nRÎ”T/(1-n)

Comparing both of these
1-n = 2
=> n=-1

So P/V = const

UP 0 DOWN 0
Post on FacebookPost anonymously?

kaymant ·2009-08-27 19:47:56

@asish, what was the reason to believe that we should have pVⁿ = C?
You should have proceeded as follows:
since
Î´W = nR2 dT
we get p dV = nR2 dT
i.e. dVdT = nR2p = nRV2nRT (from the ideal gas equation pV = nRT)
i.e. dVdT = V2T
i.e 2 dVV - dTT = 0
Integrating we get
ln V² - ln T = constant
i.e. V²T = constant
which is same as Vp = constant

UP 0 DOWN 0
Post on FacebookPost anonymously?

champ ·2009-08-27 22:25:15

Thank you :-)

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

Close [X]

Identify the process

3 Answers

Your Answer

Add Image

Similar Questions