Question

write all the properties of Isochoric process like. slop, work etc.

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Answer 1

Answer:

For Isochoric;

1. P-T graph slope is inversely proportional to its volume.
2. If slope pass through 100℅ origin then only it is Isochoric ghraph.
3. For P-T graph, V3>V2>V1

• WORK DONE =0 (∆V=0).

• BULK MODULUS = INFINITY (∆V=0)

• ACC. FIRST LAW,

Q=∆U.

• C(isochoric)= C(v)

• ∆U=nCv∆T

• Q=nCv∆T

• P/T=constant

PLS MARK ME AS BRAINLIEST.

Answer 2

$\huge{ \orange{ \underline{ \overline{ \boxed{ \sf{ \blue{ANSWER}}}}}}}$

$\underline{\underline{\sf{\green{DEFINITION :}}}}$

Isochoric Process : A thermodynamic process in which volume remains constant is called isochoric process.

SOME KEY POINTS FOR ISOCHORIC PROCESS :

$\green{\boxed{\underline{\underline{\sf{Slope \: of\: P-V \:Graph :}}}}}$

• The slope of P-V graph is infinitely.

$\longrightarrow \sf{ \tan \theta \: = \frac{dp}{dv} }$

As, Volume is constant

$\longrightarrow \sf{ \tan \theta \: = \frac{dp}{0} }$

$\boxed{\longrightarrow \sf{ \tan \theta \: = \infty \: }}$

$\green{\boxed{\underline{\underline{\sf{Gay \: Lussac's\: Law \: :}}}}}$

• It obeys Gay Lussac Law which tells that Pressure is directly proportional to temperature.

$\longrightarrow \sf{P \propto \: T }$

$\green{\boxed{\underline{\underline{\sf{Work\: Done \: :}}}}}$

• Work done for Isochoric Process is zero since volume is constant.

$\green{\boxed{\underline{\underline{\sf{Bulk \: Modulus \: :}}}}}$

• Bulk Modulus for Isochoric Process is infinity.

$\longrightarrow \sf{B = \frac{dp}{ (\frac{ - dv}{v} )} }$

$\longrightarrow \sf{B \: = \frac{dp \times v}{ - dv}}$

As Volume is constant,

$\longrightarrow \sf{B \: = \frac{dp \times v}{0}}$

$\boxed{\longrightarrow \sf{ B= \infty \: }}$

$\green{\boxed{\underline{\underline{\sf{Heat (Q) \: :}}}}}$

$\longrightarrow$ Q = ∆U + W

$\longrightarrow$ Q = ∆U ( As, W = 0 for isochronic process)

$\longrightarrow \sf Q = nC_v$ ∆T

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