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11.Thermodynamics
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મોટર ટ્યુબમાં $27 ° C$ તથા $8 $ વાતાવરણ દબાણે હવા ભરેલ છે. ટ્યુબ અચાનક ફાટતા હવાનું તાપમાન....? $(\gamma = 1.5)$

A

$27.5° C$

B

$75K$

C

$150 K$

D

$150° C$

Solution

$\frac{{{T_2}}}{{{T_1}}}\,\, = \,\,{\left( {\frac{{{P_2}}}{{{P_1}}}} \right)^{\frac{{\gamma  – 1}}{\gamma }}}\,\, \Rightarrow \,\,\frac{{{T_2}}}{{{T_1}}}\,\, = \,\,{\left( {\frac{1}{8}} \right)^{\frac{{1.5 – 1}}{{1.5}}}}$

$\, = \,\,{\left( {\frac{1}{8}} \right)^{\frac{1}{3}}}\,\, = \,\,\frac{1}{2}\,\, \Rightarrow \,\,{T_2}\,\, = \,\,\frac{{{T_1}}}{2}\, = \,\,\frac{{300}}{2}$

$\, = \,\,150\,K$

Standard 11
Physics

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