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Standard XII

Chemistry

Maxwell's Distribution of Speeds

In an adiabat...

Question

In an adiabatic expansion of gas from 1 atm, 300 K to 8 atm & "T" K. Find T if ( $γ = 3 / 2$ )

350 K

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150 K

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600 K

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400 K

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Solution

The correct option is C 600 K
$P_{1}^{1 - y} T_{1}^{y} = P_{2}^{1 - y} T_{2}^{y}$
${(\frac{1}{8})}^{1 - \frac{3}{2}} = {(\frac{T_{2}}{300})}^{3 / 2}$
${(\frac{1}{8})}^{\frac{1}{2} \times \frac{2}{3}} = \frac{T_{2}}{300}$
$2 \times 300 = T_{2}$
$600 K$

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In an adiabatic expansion of gas from 1 atm, 300 K to 8 atm & "T" K. Find T if (γ=3/2)

The correct option is C 600 KP1−y1Ty1=P1−y2Ty2(18)1−32=(T2300)3/2(18)12×23=T23002×300=T2600K

In an adiabatic expansion of gas from 1 atm, 300 K to 8 atm & "T" K. Find T if ( $γ = 3 / 2$ )

The correct option is C 600 K
$P_{1}^{1 - y} T_{1}^{y} = P_{2}^{1 - y} T_{2}^{y}$
${(\frac{1}{8})}^{1 - \frac{3}{2}} = {(\frac{T_{2}}{300})}^{3 / 2}$
${(\frac{1}{8})}^{\frac{1}{2} \times \frac{2}{3}} = \frac{T_{2}}{300}$
$2 \times 300 = T_{2}$
$600 K$