Pressure of an ideal gas is obtained from kinetic gas equation. The kinetic gas equation is: PV=13(mNA)u2=13Mu2, where, mNA=M(molar mass)NA=Avogadro's numberu=root mean square velocityTranslational kinetic energy of n mole12Mu2=32(PV)=32(nRT)Average translational kinetic energy per molecule=32(RTNA)=32(KT)urms=√3PVM=√3RTM=√3Pdand uav=√8RTπMThe mass of molecule A is twice the mass of molecule B. The rms speed of A is twice the rms speed of B. If two samples A and B contain same number of molecules, what will be the ratio of pressures of 2 samples in 2 separate containers of equal volume?

Pressure of an ideal gas is obtained from kinetic gas equation. The ki

1.	Pressure of an ideal gas is obtained from kinetic gas equation. The kinetic gas equation is: PV=13(mNA)u2=13Mu2, where, mNA=M(molar mass)NA=Avogadro's numberu=root mean square velocityTranslational kinetic energy of n mole12Mu2=32(PV)=32(nRT)Average translational kinetic energy per molecule=32(RTNA)=32(KT)urms=√3PVM=√3RTM=√3Pdand uav=√8RTπMThe mass of molecule A is twice the mass of molecule B. The rms speed of A is twice the rms speed of B. If two samples A and B contain same number of molecules, what will be the ratio of pressures of 2 samples in 2 separate containers of equal volume?
Answer» Pressure of an ideal gas is obtained from kinetic gas equation. The kinetic gas equation is: $P V = \frac{1}{3} (m N_{A}) u^{2} = \frac{1}{3} M u^{2}$ , where, $m N_{A} = M$ (molar mass) $N_{A} = Avogadro's number$ $u = root mean square velocity$ $Translational kinetic energy of n mole \frac{1}{2} M u^{2} = \frac{3}{2} (P V) = \frac{3}{2} (n R T)$ $Average translational kinetic energy per molecule = \frac{3}{2} (\frac{R T}{N_{A}}) = \frac{3}{2} (K T)$ $u_{r m s} = \sqrt{\frac{3 P V}{M}} = \sqrt{\frac{3 R T}{M}} = \sqrt{\frac{3 P}{d}}$ and $u_{a v} = \sqrt{\frac{8 R T}{π M}}$ The mass of molecule A is twice the mass of molecule B. The rms speed of A is twice the rms speed of B. If two samples A and B contain same number of molecules, what will be the ratio of pressures of 2 samples in 2 separate containers of equal volume?

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