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States of Matter Marksheet States of Matter

5.5. Pressure of l g of an ideal gas A at 27°C is found to be 2 bar. When 2 g of another ideal gas B is introduced in the same flask at same temperature, the pressure becomes 3 bar. Find the relationship between their molecular masses.
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Payal Gupta

Contributor-Level 10

5.5. Suppose molecular masses of A and B are MA and MB respectively. Then their number of moles will be

nA= 1/MA                                nB = 2/MB

Given: PA = 2 bar        and PA + PB = 3 bar

          => PB = 1bar

Since, PV = nRT

PA= nART and PBV= nBRT

Therefore, (PA / PB) = (nA / nB)= (MB / 2MA)

=> MB / MA = 2 x PA / PB = 2 x 2 /1 = 4

        => MB = 4 MA

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