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Q.

The mass of gas molecule A is twice the mass of gas molecule ‘B’. The rms speed of A is twice that of B. Two gas samples of A and B contain same number of molecules. If the ratio of pressures of two samples in separate containers of equal volume is PA= x.PB, The value of x is ________

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answer is 8.

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Detailed Solution

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Given mA=2mB or mA=2mB and CA=2xCB
no. of molecules of A= no. of molecules of B
According to kinetic gas equation PV=13mnc2
PAVA=13mAnAcA2 PBVB=13mBnBcB2PAVAPBVB=13MAnAC1213MBnBC12PA=8×PBx=8

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