If Cp,C- and C of CO2 gas are equal at T1,T2 and T3 temperatures then

UMP=UAVS=Urms=2RTM=8RTπM=3RTM =2RT44=8RT44=3RT442T2=8T2π=3T32T1=2.54T2=3T3T1<T2<T3

If Cp,C- and C of CO2 gas are equal at T1,T2 and T3 temperatures then

UMP=UAVS=Urms=2RTM=8RTπM=3RTM =2RT44=8RT44=3RT442T2=8T2π=3T32T1=2.54T2=3T3T1<T2<T3

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If $C_{p}, \bar{C} and C$ of CO₂gas are equal at T₁,T₂ and T₃ temperatures then

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$T_{1} < T_{2} < T_{3}$

$T_{1} > T_{2} > T_{3}$

$T_{3} > T_{1} > T_{2}$

$T_{1} = T_{2} = T_{3}$

answer is A.

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Detailed Solution

$U_{MP} = U_{AVS} = U_{rms} = \sqrt{\frac{2 RT}{M}} = \sqrt{\frac{8 RT}{πM}} = \sqrt{\frac{3 RT}{M}} \begin{array}{l} = \sqrt{\frac{2 RT}{44}} = \sqrt{\frac{8 RT}{44}} = \sqrt{\frac{3 RT}{44}} \\ 2 T_{2} = \frac{8 T_{2}}{π} = 3 T_{3} \\ 2 T_{1} = 2.54 T_{2} = 3 T_{3} \\ T_{1} < T_{2} < T_{3} \end{array}$