$(a)\;(\large\frac{L_{1}}{L_{2}})^{\large\frac{2}{3}}\qquad(b)\;\large\frac{L_{1}}{L_{2}}\qquad(c)\;\large\frac{L_{2}}{L_{1}}\qquad(d)\;(\large\frac{L_{2}}{L_{1}})^{\large\frac{2}{3}}$

Answer : $\;(\large\frac{L_{2}}{L_{1}})^{\large\frac{2}{3}}$

Explanation :

For an adiabatic process

$PV^{r} =Constant$

$TV^{r-1} = Constant$

$T_{1}V_{1}^{r-1} = T_{2} V_{2}^{r-1}$

$\large\frac{T_{1}}{T_{2}} = (\large\frac{V_{2}}{V_{1}})^{r-1} = (\large\frac{L_{2}A}{L_{1}A})^{\large\frac{3}{5} -1}= (\large\frac{L_{2}}{L_{1}})^{\large\frac{2}{3}}$

Ask Question

Tag:MathPhyChemBioOther

Take Test

...