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Grade 12Thermal Physics

expansion of gases-variation with pessure

vishal chintalapati

15 Years agoGrade 12

1 Answer

Rathod Shankar AskiitiansExpert-IITB

15 Years ago

Dear vishal chintalapati,

1) for isobaric with no pressure change the volumetric thermal expansivity, which we denote $β p$ , is:

$PV = nRT \,$

$\ln\left(V\right) = \ln \left(T\right) + \ln\left(nR/P\right)$

$\beta_p = \bigg(\frac{1}{V} \frac{dV}{dT}\bigg)_p = \bigg(\frac{d(ln V)}{d T}\bigg)_p = \frac{d(ln T)}{d T} = \frac{1}{T}$

2) adibatic equation where temparature is constant

PV^{^γ} =Constant

Thanks

Rathod Shankar

IIT Bombay

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