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  • For an ideal gas relation between pressure and volume is , then coefficient of pressure expansion isOption: 1</stron

For an ideal gas relation between pressure and volume is P=KV, then coefficient of pressure expansion is

Option: 1

T


Option: 2

1/T


Option: 3

2T


Option: 4

1/2T


Answers (1)

As we learned

Co-efficient of Pressure Expansion -

\beta=\frac{\Delta P}{P_{0}}\frac{1}{\Delta \theta}

- wherein

P'=P(1+\beta \Delta \theta)

P'=Final pressure

 

 

P= KV

PV= nRT\Rightarrow V=\frac{nRT}{P}

or P=K. \frac{nRT}{P}\Rightarrow P^{2}=\left ( K\: nR \right )T

on differentiating we get

2P.\frac{dP}{dT}={knR}


\\ \text{Coefficient of pressure expansion}=\frac{1}{P} \frac{d P}{dT}= \frac{1}{P}\frac{KnR}{2P}= \frac{KnR}{2\left ( knR \right )T}= \frac{1}{2T}

Posted by

Kshitij

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