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The difference in height of the mercury column in two arms of U tube manometer in arrangement-I is  h1=660mm. In another arrangement-II at same temperature, 222 gm of CaCl2 , is dissolved in 324 gm of water and difference in height of mercury column in two arms is found to be h2=680mm . If the value of degree of dissociation for CaCl2 , in arrangement-II is  α then the value of 6.4α  is :[Atmospheric pressure = 1atm]

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answer is 4.

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Detailed Solution

MCaCl2=111g 
nCaCl2=222111=2mole                                        nH2O=32418=18mole    
Relative lowering in vapour pressure
 R.L.V.P=P0PSP0=n1in1i+n2=10080100=i×2i×2+18
or  0.2=2i2i+18 or  0.4i+3.6=2i
So  i=2.25
For  CaCl2 i=1+(n1)α
 2.25=1+(31)α
 α=1.252=0.625
 6.4×0.625=4

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The difference in height of the mercury column in two arms of U tube manometer in arrangement-I is  h1=660mm. In another arrangement-II at same temperature, 222 gm of CaCl2 , is dissolved in 324 gm of water and difference in height of mercury column in two arms is found to be h2=680mm . If the value of degree of dissociation for CaCl2 , in arrangement-II is  α then the value of 6.4α  is :[Atmospheric pressure = 1atm]