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Ideal Gas Equation

If for two ga...

Question

If for two gases of molecular weights $M_{A}$ and $M_{B}$ at temperature $T_{A}$ and $T_{B}$ ; $T_{A} M_{B} = T_{B} M_{A}$ , then which property has the same magnitude for both the gases.

Density

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Pressure

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Kinetic energy per mol

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RMS speed

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Solution

The correct option is D RMS speed
Given that $T_{A} M_{B} = T_{B} M_{A} = T_{B} M_{A} \Rightarrow \frac{T_{A}}{M_{A}} = \frac{T_{B}}{M_{B}}$
We know that $U_{r m s} = \sqrt{\frac{3 R T}{M}}$
$U_{r m s A} = \sqrt{\frac{3 R T_{A}}{M_{A}}}$ and $U_{r m s B} = \sqrt{\frac{3 R T_{B}}{M_{B}}}$
$U_{r m s A} = U_{r m s B}$

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Ideal Gas Equation

Standard XI Chemistry

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If for two gases of molecular weights MA and MB at temperature TA and TB; TAMB=TBMA, then which property has the same magnitude for both the gases.

The correct option is D RMS speedGiven that TAMB=TBMA=TBMA⇒TAMA=TBMB We know that Urms=√3RTM Urms A=√3RTAMA and Urms B=√3RTBMB Urms A=Urms B

If for two gases of molecular weights $M_{A}$ and $M_{B}$ at temperature $T_{A}$ and $T_{B}$ ; $T_{A} M_{B} = T_{B} M_{A}$ , then which property has the same magnitude for both the gases.