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In an adiabatic process, the pressure is increased by 2/3

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In an adiabatic process, the pressure is increased by

Question 3 2 ​ %. If γ= 2 3 ​

, then the volume decreases by nearly:

A

9 4 ​ %

B

3 2 ​ %

C

1 %

D

4 9 ​ % Medium Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is A)

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In an adiabatic process, pressure is increased by 2/3%. If Cp / Cv =3/2, then the volume decreases by aboutA. 4/9%B. 2/3%C. 4 %S. 9/4%

In an adiabatic process, pressure is increased by 2/3%. If Cp / Cv =3/2, then the volume decreases by aboutA. 4/9%B. 2/3%C. 4 %S. 9/4%

Byju's Answer Standard XII Physics

Thermodynamic Processes

In an adiabat... Question

In an adiabatic process, pressure is increased by

2 3 % . If C P C V = 3 2

, then the volume decreases by about

A 4 9 % B 2 3 % C 4 % D 9 4 % Open in App Solution

The correct option is A

4 9 %

For an adiabatic process,

P V γ = K Here, γ = C P C V = 3 2 and K = constant ⇒ P V 3 / 2 = K Taking log both sides, log P + 3 2 log V = log K

On differentiating both sides using chain rule,

⇒ 1 P × d P + 3 2 1 V × d V = 0

For finite differences in values of

P and V

, we can write above equation as,

⇒ Δ P P + 3 2 Δ V V = 0 ⇒ Δ V V = − 2 3 Δ P P ⇒ Δ V V × 100 = − ( 2 3 ) ( Δ P P × 100 ) ⇒ Δ V V × 100 = − 2 3 × 2 3 = − 4 9 % ∴

Volume decreases by about

4 9 % Suggest Corrections 1

SIMILAR QUESTIONS

Q. During an adiabatic process, the pressure of a gas is found to be proportional to the cube of the absolute temperature. The ratio

C P C V = for the gas is

Q. The value of

γ = C P C V is 4 3

for an adiabatic process of an ideal gas for which the internal energy is given by

d U = n ( V d P + P d V ) . The value of n is

Q. In an adiabatic process, pressure is increased by

2 3 % . If C P C V = 3 2

, then the volume decreases by about

Q. In an adiabatic process, pressure is increased by

2 3 % . If C P C V = 3 2

, then the volume decreases by about

Q.

Does the number of moles of reaction products increase, decrease or remain same when each of the following equilibria is subjected to a decrease in pressure by increasing the volume?

(a) (b) (c) View More

स्रोत : byjus.com

In a adiabatic process pressure is increased by 2//3% if C(P)//C(V) = 3//2. Then the volume decreases by about

In a adiabatic process pressure is increased by 2//3% if C(P)//C(V) = 3//2. Then the volume decreases by about

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In a adiabatic process pressur...

In a adiabatic process pressure is increased by

2/3% 2/3% if C P / C V =3/2 CP/CV=3/2

. Then the volume decreases by about

Updated On: 27-06-2022

( 00 : 30 ) ADVERTISEMENT Text Solution Open Answer in App Answer

The correct Answer is

4/9% 4/9%

Answer

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एक रुद्धोष्म प्रक्रम में, एक गैस के लिए दाब में वृद्धि

2 3 23 % और C p C v = 3 2 CpCv=32

है । तब आयतन में कमी लगभग होती है :

643935128 0 2.6 K 2:09

एक रुद्धोष्म प्रक्रम में, एक गैस के लिए दाब में वृद्धि

2 3 23 % और C p C v = 3 2 CpCv=32

है । तब आयतन में कमी लगभग होती है :

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