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An element with density 2.8 g cm^{–3} forms a f.c.c. unit cell with edge length 4 x 10^{–8} cm. Calculate the molar mass of the element.
(Given : N_{A} = 6.022 x 10^{23} mol ^{–1})
Concept: Calculations Involving Unit Cell Dimensions
Write the IUPAC name of the given compound:
Concept: Nomenclature of Coordination Compounds - Naming of Mononuclear Coordination Compounds
When a co-ordination compound CrCl_{3}.6H_{2}O is mixed with AgNO_{3}, 2 moles of AgCl are precipitated per mole of the compound. Write
(i) Structural formula of the complex.
(ii) IUPAC name of the complex.
Concept: Nomenclature of Coordination Compounds - Naming of Mononuclear Coordination Compounds
Write down the IUPAC name of the following complex: [Cr(NH_{3})_{2}Cl_{2}(en)]Cl (en = ethylenediamine)
Concept: Nomenclature of Coordination Compounds - Naming of Mononuclear Coordination Compounds
Draw the geometrical isomers of complex [Pt(NH_{3})_{2}Cl_{2}].
Concept: Isomerism in Coordination Compounds > Stereoisomerism
Write the IUPAC name of the complex [Cr(NH_{3})_{4} Cl_{2}]Cl.
Concept: Nomenclature of Coordination Compounds - Naming of Mononuclear Coordination Compounds
Using IUPAC norms write the formulae for Potassium trioxalatoaluminate(III)
Concept: Importance and Applications of Coordination Compounds
What is meant by positive deviations from Raoult's law? Give an example. What is the sign of ∆_{mix}H for positive deviation?
Concept: Vapour Pressure of Liquid > Vapour Pressure of Liquid- Liquid Solutions
The rate constant for the first-order decomposition of H_{2}O_{2} is given by the following equation:
`logk=14.2-(1.0xx10^4)/TK`
Calculate E_{a} for this reaction and rate constant k if its half-life period be 200 minutes.
(Given: R = 8.314 JK^{–1} mol^{–1})
Concept: Temperature Dependence of the Rate of a Reaction
What is rate of reaction?
Concept: Rate of a Chemical Reaction
From the given cells:
Lead storage cell, Mercury cell, Fuel cell and Dry cell
Answer the following:
(i) Which cell is used in hearing aids?
(ii) Which cell was used in Apollo Space Programme?
(iii) Which cell is used in automobiles and inverters?
(iv) Which cell does not have long life?
Concept: Batteries > Primary Batteries
State any three points of importance of business environment
Concept: Concept of Business Environment
The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and their monthly expenditures are in the ratio 5 : 7. If each saves Rs 15,000 per month, find their monthly incomes using matrix method. This problem reflects which value?
Concept: Inverse of Matrix > Inverse of a Square Matrix by the Adjoint Method
If ` f(x)=|[a,-1,0],[ax,a,-1],[ax^2,ax,a]| ` , using properties of determinants find the value of f(2x) − f(x).
Concept: Properties of Determinants
Three schools A, B and C organized a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand made fans, mats and plates from recycled material at a cost of Rs 25, Rs 100 and Rs 50 each. The number of articles sold are given below:
SchoolArticle | |||
A | B | C | |
Hand-fans | 40 | 25 | 35 |
Mats | 50 | 40 | 50 |
Plates | 20 | 30 | 40 |
Find the funds collected by each school separately by selling the above articles. Also find the total funds collected for the purpose.
Write one value generated by the above situation.
Concept: Multiplication of Two Matrices
Using properties of determinants, prove that
`|[b+c , a ,a ] ,[ b , a+c, b ] ,[c , c, a+b ]|` = 4abc
Concept: Properties of Determinants
If x = a sin 2t (1 + cos2t) and y = b cos 2t (1 – cos 2t), find the values of `dy/dx `at t = `pi/4`
Concept: Derivatives of Functions in Parametric Forms
Find `intsqrtx/sqrt(a^3-x^3)dx`
Concept: Methods of Integration: Integration by Substitution
Integrate the following w.r.t. x `(x^3-3x+1)/sqrt(1-x^2)`
Concept: Evaluation of Simple Integrals of the Following Types and Problems
Evaluate :
`∫_(-pi)^pi (cos ax−sin bx)^2 dx`
Concept: Evaluation of Definite Integrals by Substitution