Monday, June 20, 2011

LIMITING REAGENT (The Show Stopper)

Limiting reagent(L.R.) is a reagent which is consumed earlier in a chemical reaction.
Limiting reagent determines the amount of product formed in a given chemical reaction, the maximum amount of product formed is the amount formed by the L.R.
Identification of L.R.

e.g. Suppose you are given with 5 moles of A and 4 moles of B and they react according to the following reaction                            
                                                          4A  +  3B  ----------->  5C  
                                                           5         4  
Divide the given number of moles by respective stoichiometric coefficients
                                                5/4 = 1.25      4/3 = 1.33
Reactant having  lesser value of the two will be the L.R. Thus in the above reaction A is the L.R. and B is Excess Reagent (E.R.).
Moles of excess reagent left = Initial moles of E.R. - Coefficient of E.R./Coefficient of L.R.*  Initial  
                                                                                                                                             moles of L.R.
i.e.            Amount of B left = 4-3/4*5 = 4 - 3.75 = 0.25 mole
Moles of product formed     =  Initial moles of product - Coefficient of product/Coefficient of L.R.*  Initial   
                                                                                                                                                                         moles of L.R.
i.e.   Amount of C left = 5/4 *  5 = 25/4 = 6.25 mole
Remarks:- Use this special trick for faster calculations . You can solve any question of L.R. within 30-40 seconds once you have practiced this trick properly.

Tuesday, January 25, 2011

Relation between Raoults law and Daltons Law


Relation between Raoult’s Law and Dalton’s Law :-
If the mole fractions of solute(A) and solvent(B) in liquid phase are XA and XB , and their vapour pressures in pure state are P0A and P0B respectively. Vapour pressure of the solution is P.
 If the mole fractions of solute and solvent in Vapour Phase are YA and YB respectively than-
According to Raoult’s Law PA = P0A . XA
And according to Dalton’s Law PA = YA . P
Then                                      P0A . XA = YA . P   and  P0B . XB = YB . P
ð    YA = (P0A . XA )/P , similarly for B  YB = (P0B . XB )/P
Now using                           XA + XB = 1
Substituting XA and XB,
                                                (YA .P) / P0A  + (YB .P) / P0B   = 1

ð                                              YA/P0A  + YB/P0B  = 1/P



Saturday, January 22, 2011

XII class

RAOULT'S LAW- The partial pressure of any volatile constituent of a solution at constant temperature is equal to the product of vapour pressure of pure constituent and its mole fraction.
i.e.p_i = p^{\star}_i x_i
Where Pi = Vapoue pressure of solution, p*= V.P. of pure Constituent, xi = Mole fraction of Constituent
1. Raoult's law for binary solution of two volatile liquids:-  If A is solute and B is solvent then
Graph-for-raoults-law.jpg
Once the components in the solution have reached equilibrium, the total vapor pressure p of the solution is:
p = p^{\star}_{\rm A} x_{\rm A} + p^{\star}_{\rm B} x_{\rm B} + \cdots

The figure shows the variation in V.P. with varying composition of the mixture.
2.Solid liquid solution containing non- volatile solute - 
The V.P. of a solution containing non- volatile solute is directly proportional to the mole fraction of the Solvent.
 Ps = p0 XB
 The vapour pressure of a pure solvent is always greater than the vapour pressure of solution contaning non- volatile solute.
Raoult's law is applicable only for dilute solution containing non volatile solute only.
Problem for practice-
Q. Benzene and Toluene form an Ideal solution. The vapour pressure of benzene and Toluene are 75mm and 22mm Hg respectively. If the mole fraction of benzene and toluene in vapour state are 0.63 and 0.37 respectively than calculate the vapour pressure of the ideal mixture.  (Ans- 39.68mm of Hg)

For XII

Thursday, January 20, 2011

triple point

the triple point of a substance is the temperature and pressure at which three phases ( gas, liquid, and solid) of that substance coexist in thermodynamic equilibrium
Critical point or critical temperature is the temperature after which the gas can not be liquified by application of any amount of pressure.
below critical temperature the phase existing is vapour and above critical temperature the phase is called gas.
From the graph it can be observed that below critical temperature at high pressure liquid phase exists(the right side of the continuous green curve), above critical temperature gas can not be liquified so liquid phase does not exist whatever is the magnitude of pressure.