  # Hol. H.W. Class 12 Sci.

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THE JAIN INTERNATIONAL SCHOOL, KANPUR

SUMMER VACATION HOMEWORK (2016-2017)

CLASS-XII Science

ENGLISH:  Read the Novel- ‘The Invisible Man’

SCIENCE

PHYSICS:  Solve NCERT Questions of the chapters covered in your registers.

Do the assigned project.

CHEMISTRY: Solve the given worksheet in Notebook.

BIOLOGY:  Complete your project assigned.

Write all the experiments in your lab manual. (Leave space for Observation).

MATH:  :  Solve the given work sheet in notebook.

OPTIONAL SUBJECTS

PHYSICAL EDUCATION: complete the given project work.

COMPUTER SCIENCE:    File to be completed and ‘Work Done Throughout the Year’.

INFORMATION PRACTICES: File to be completed and ‘Work Done Throughout the year’.

FASHION STUDIES: Complete project on ‘Fashion Capitals’.

_______________________­­­­HAPPY HOLIDAYS__________________________

THE JAIN INTERNATIONAL SCHOOL, KANPUR

CLASS- XII (2016-17)

SUB: CHEMISTRY                       WORKSHEET                       SUMMER HOLIDAY HOME-WORK

Q1)

a)A cubic solid is made up of two elements X and Y. Atoms Y are present at the corners of the cube and atoms X at the body center. What is the formula of the compound? What are the co- ordination numbers of X and Y?Ans XY, 8

b)A compound is formed by the two elements M & N. the element N forms ccp and atoms of M occupy 1/3rd   of tetrahedral voids. What is the formula of compound?                                                   Ans- M2N3

c)Ferric oxide crystallizes in the hcp array of oxide ions with two of the every octahedral void occupied by   the ferric ions. Derive the formula of ferric oxide.                                                                              Ans Fe2O3

Q2)    Niobium crystallizes in body-centered cubic structure. If density is 8.55 g cm–3, calculate atomic radius of niobium using its atomic mass 93 u.                                                                                                Ans- 14.29 nm

Q3)    If the radius of the octahedral void is r and radius of the atoms in close packing is R, derive relation between r and R.

Q4)    Silver forms ccp lattice and X-ray studies of its crystals show that the edge length of its unit cell is 408.6 pm. Calculate the density of silver (Atomic mass = 107.9 u).                                                    Ans- 10.5 g cm-3

Q5)    KF has NaCl structure. What is the distance between K+ and F- in KF, if its density is 2.48 g/cm3.

Ans- 268.7 pm

Q6)    CsCl has cubic structure. If  Its density is 3.99 g/cm3.What is the distance between Cs+&Cl¬ions  (atomic mass of Cs is 133)                                                                                                                       Ans- 357 pm

Q7)    Concentrated nitric acid used in laboratory work is 68% nitric acid by mass in aqueous solution. What should be the molarity of such a sample of the acid if the density of the solution is 1.504 g mL-1                 Ans- 16.23 M

Q8)    How many ml of 0.1 M HCL are required to react completely with 1 g mixture of Na2CO3 and NaHCO3 containing equimolar amount of both?                                                                                            Ans- 157.8 mL

Q9)    200 cm3 of an aqueous solution of a protein contains 1.26 g of the protein. The osmotic pressure of such a solution at 300 K is found to be 2.57 × 10-3 bar. Calculate the molar mass of the protein.              Ans- 61,038

Q10) If N2 gas is bubbled through water at 293K, how many milimoles of N2 gas would dissolve in 1 liter of water. Assume that N2 exerts a partial pressure of 0.987 bars. Given that Henry’s constant for N2 at 293K is 76.48 kbar.                                                                                                                                            Ans- 0.716

Q11) Two elements A and B form compounds having formula AB2 and AB4. Whendissolved in 20 g of benzene (C6H6), 1 g of AB2 lowers the freezing point by2.3 K whereas 1.0 g of AB4 lowers it by 1.3 K. The molar depression constantfor benzene is 5.1 K kg mol–1. Calculate atomic masses of A and B.   Ans- A = 25.58 u and B = 42.64 u

Q12) A solution is prepared by dissolving 2 g of sucrose and 2g of urea in 100 g water at 298K. Calculate the VP of the solution, if the VP of pure water is 23.756 torr.                                                                    Ans- 23.590 torr

Q13)

a)         A 5% solution (by mass) of cane sugar in water has freezing point of 271K.Calculate the freezing point of 5% glucose in water if freezing point of purewater is 273.15 K.                                                     Ans- 269.07K

b)         18 g of glucose, C6H12O6, is dissolved in 1 kg of water in a saucepan.At what temperature will water boil at 1.013 bar? Kb for water is 0.52K kg mol-1.                                                                          Ans- 373.202 K

(water boils at 373.15 K at 1.013 bar pressure)

Q14)

a)         19.5 g of CH2FCOOH is dissolved in 500 g of water. The depression in the freezingpoint of water observed is 1.00 C. Calculate the van’t Hoff factor and dissociationconstant of fluoroacetic acid.

b)         Determine the amount of CaCl2 (i = 2.47) dissolved in 2.5 litre of water such that its osmotic pressure is 0.75 atm at 27° C.                                                                                                                       Ans- 0.03 mol

Q15) Phenol associate in benzene to a certain extent for a dimer. 2g of phenol when dissolved in 100g of benzene lowers the freezing point by 0.69oC. Calculate degree of association of phenol.

(Kf= 5.12 K mol- kg)

_______________________­­­­HAPPY HOLIDAYS__________________________

THE JAIN INTERNATIONAL SCHOOL, KANPUR

CLASS- XII (2016-17)

SUB: Mathematics                         WORKSHEET                       SUMMER HOLIDAY HOME-WORK

1. Find the values of ‘a’ and ‘b  so that function is a continuous function

2. Determine f(0) so that the function f(x) defined by        F(x) =                                                                           3. Let f(x) =  c

If f(x) is continuous at x= , find a&b

4. The points of discontinuity of the function

F(x) =

5. Discuss the differentiability of f(x) = x|x| at x=0

6. For what values of a&b is the function

F(x) =  is differentiable at x=c

7. Differentiate  w.r.t.(sinx)x

8. Find   ,   xy=yx

10. If y=2x tan-1x –log (1+x2), prove that  = 2 tan-1x

9. If xy =ex-y, then prove that  = 2 tan-1 x

10. If y= Asinx +B cosx then show that

11. If x =sin and y=sinpt, then show that  +

y= (tan-1x)2 , show that (1+x2)2y2 + 2x (1+x

If y=  ,show that (1-x2) -3x  -  y = 0

If y =, find        14. If = xy , show

_______________________­­­­HAPPY HOLIDAYS__________________________