Question bank/JEE Main/Physics

JEE MainPhysicsModerateKinetic theory of gasses

Consider a mixture of n moles of helium gas and 2n moles of
oxygen gas (molecules taken to be rigid)as an ideal gas. Its CP/CV value

will be:

ds 2n eksYl dh feJ.k xSl ekus rks bl feJ.k

Show answer and solution
γmix=n1Cp1+n2Cp2n1Cv1+n2cv2\gamma_{mix} = \frac{n_{1}C_{p_{1}} + n_{2}C_{p_{2}}}{n_{1}C_{v_{1}} + n_{2}c_{v_{2}}}
=n(52R)+2n(72R)n(32R)+2n(52R)= \frac{n\left( \frac{5}{2}R \right) + 2n\left( \frac{7}{2}R \right)}{n\left( \frac{3}{2}R \right) + 2n\left( \frac{5}{2}R \right)}
=5+143+10=1913= \frac{5 + 14}{3 + 10} = \frac{19}{13}

Source: Grass-G / Ph-27 Physics paper 2 15 Jan.docx

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