Question
Q. 1.Calculate the number of HCl molecules present in 10ml of 0.1N HCl solution.
Q.2. 4.0g of NaOH are contained in one decilitre of solutions. Calculate mole fraction. Molarity and molality of NaOH. ( Given, density of solution= 1.038g/ cm3)
Q. 3. You are provided with 2 litre each of 0.5 M NaOH and 0.4M of NaOH solutions. What maximum volume of 0.30 M NaOH can be obtained from these solutions without using water at all ?
1) no of miligm eq. = 10*0.1 = 1
so no. of gm. eq. = 1/1000
since acid is monobasic so no. of moles = 1/1000
so molecules = 1/1000 * 6.023 * 1023
2) 0.1 litre soln. contains 4 gm. NaOH
so 1 litre contains 40 gm. NaOH
so 1 litre soln. contains 40/40 moles of NaOH = 1 mole so molarity = 1
now 1 litre soln. contains 40 gm NaOH
so 1*1038 gm soln. contains 40 gm. NaOH here 1038 gm/litre is density
so 1038 gm. soln. contains 40 gm. NaOH
so 1038-40 gm. solvent contains 40 gm. NaOH
so 998 gm. solvent contains 40 gm. NaOH = 1 mole
so 0.998 Kg solvent contains 1 mole NaOH
so molality = 1/0.998
998 gm water contains 40 gm. NaOH
so 998/18 mole water contains 40/40 mole NaOH
so mole fraction of NaOH = [40/40]/{[40/40]+[998/18]}
Third part is irrelevent without using water
Read 3 Solution.
ANS 1) AS V KNOW N= M X n-factor & HCl is monobasic means it's n-factor is 1 . so v can find molarity ( i.e. M =normality.)
NOW USE FORMULA M=( No. of moles of solute X 1000*)/10 (*REMEMBER IT IS IN ml SO CONVERT IT INTO L )
FROM THIS U WILL GET NO. OF MOLES & NOW U CAN FIND NO. OF HCl molecule( BY USING 1 MOLE = NA )
ANS 2 ) DENSITY OF SOLUTION IS GIVEN & VOLUME ALSO (DECILITRE) . FROM THIS U CAN FIND MASS OF SOLn
AS MASS OF NaOH IS GIVEN SO U CAN FIND MASS OF SOLVENT (mass of soln= massof solute + mass of solvent) . MIND THAT OF UNITS
NOW USE FORMULA
a) M= no. of moles of NaOH / VOLUME OF SOLn
b) m= no. of moles of NaOH/ MASS OF SOLVENT IN kg
c) MOLE FRACTn=( nA)/ (nA+nB) where nA & nB= no. of moles of NaOH &H2O RESPT. HERE V WILL TAKE SOLn of NaOH & H2O & MOLECULAR MASS OF NaOH = 40g & H2O=18g.
ans3) M IS GIVEN FOR BOTH SLUTn SO FIRST FIND NO. OF MOLES IN EACH ONE AS U R PROVIDED WITH MOLARITY & VOLUME OF EACH SOLn ). THEN U WILL GET MOLES (TOTAL) NOW ADD THEM & USE THAT NO. OF TOTAL MOLES IN FORMULA , M= NO. OF MOLES (TOTAL) / VOLUME HERE USE M= 0.03 put values 2 find volume