NEST (NISER) problems

1107 problems for NEST (NISER) practice, in Physics, Chemistry, Mathematics and Biology, each with a worked solution. Try each one on paper first, then check your answer.

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1.

Chlorine is slowly passed into a solution that has 0.100 mol of potassium bromide and 0.100 mol of… New

High School (11–12) · Groups 17 and 18: Halogens and Noble GasesJEE AdvancedNEETA-Level+24A-LevelIBStemPy Lab

Hard

2.

Aqua regia is made by mixing 30.0 mL of concentrated hydrochloric acid (12.0 mol/L) with 10.0 mL of… New

High School (11–12) · Groups 17 and 18: Halogens and Noble GasesJEE AdvancedNEETA-Level+24A-LevelIBStemPy Lab

Hard

3.

A sample of 24.53 g of XeF6 (245.3 g/mol) is hydrolysed completely to XeO3 (179.3 g/mol) and… New

High School (11–12) · Groups 17 and 18: Halogens and Noble GasesJEE AdvancedNEETA-Level+24A-LevelIBStemPy Lab

Hard

4.

At 600 K the equilibrium constant of N₂ + 3H₂ ⇌ 2NH₃ is Kp = 4.43 × 10⁻³ bar⁻²… New

High School (11–12) · Groups 15 and 16: Nitrogen and Oxygen FamiliesJEE AdvancedA-LevelIB+23A-LevelIBStemPy Lab

Hard

5.

A sample of 6.54 g of zinc, with a molar mass of 65.4 g/mol, reacts completely with dilute nitric… New

High School (11–12) · Groups 15 and 16: Nitrogen and Oxygen FamiliesJEE AdvancedA-LevelIB+23A-LevelIBStemPy Lab

Hard

6.

A sample of 41.7 g of phosphorus pentachloride (208.5 g/mol) is hydrolysed completely by excess… New

High School (11–12) · Groups 15 and 16: Nitrogen and Oxygen FamiliesJEE AdvancedA-LevelIB+23A-LevelIBStemPy Lab

Hard

7.

Potassium superoxide is used in a breathing unit for a closed room… New

High School (11–12) · Groups 15 and 16: Nitrogen and Oxygen FamiliesJEE MainJEE AdvancedA-Level+24A-LevelIBStemPy Lab

Hard

8.

A 25.0 mL sample of a solution of sulphur dioxide needs 20.0 mL of 0.0200 mol/L acidified potassium… New

High School (11–12) · Groups 15 and 16: Nitrogen and Oxygen FamiliesJEE MainJEE AdvancedA-Level+24A-LevelIBStemPy Lab

Hard

9.

A converter is fed with 2 mol of sulphur dioxide for each 1 mol of oxygen… New

High School (11–12) · Groups 15 and 16: Nitrogen and Oxygen FamiliesJEE MainJEE AdvancedA-Level+24A-LevelIBStemPy Lab

Hard

10.

A piece of copper of mass 12.7 g (63.5 g/mol) is warmed with an excess of concentrated sulphuric… New

High School (11–12) · Groups 15 and 16: Nitrogen and Oxygen FamiliesJEE MainJEE AdvancedA-Level+24A-LevelIBStemPy Lab

Hard

11.

Boric acid behaves as a monobasic acid, B(OH)₃ + 2H₂O ⇌ [B(OH)₄]⁻ + H₃O⁺, with pKa = 9.24… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE AdvancedA-LevelIB+23A-LevelIBStemPy Lab

Hard

12.

Diborane burns completely in oxygen: B₂H₆(g) + 3O₂(g) → B₂O₃(s) + 3H₂O(g)… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE AdvancedA-LevelIB+23A-LevelIBStemPy Lab

Hard

13.

An electrolytic cell for aluminium carries a current of 150 kA for 6.0 hours at a voltage of 4.30 V… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE AdvancedA-LevelIB+23A-LevelIBStemPy Lab

Hard

14.

At room temperature and ordinary pressure, graphite is the more stable form of carbon by Δ G =… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE MainJEE AdvancedA-Level+24A-LevelIBStemPy Lab

Hard

15.

A solid mixture of calcium carbonate and sodium hydrogencarbonate has a mass of 10.00 g… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE MainJEE AdvancedA-Level+24A-LevelIBStemPy Lab

Hard

16.

Tremolite has the formula Ca₂Mg₅(Si₄O₁₁)₂(OH)₂… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE MainJEE AdvancedA-Level+24A-LevelIBStemPy Lab

Hard

17.

A zeolite has the formula Na₁₂[(AlO₂)₁₂(SiO₂)₁₂]· 27H₂O and a molar mass of 2191 g/mol… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE MainJEE AdvancedA-Level+24A-LevelIBStemPy Lab

Hard

18.

Lead(IV) oxide reacts with concentrated hydrochloric acid and gives chlorine: PbO₂ + 4HCl → PbCl₂ +… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE AdvancedNEETA-Level+24A-LevelIBStemPy Lab

Hard

19.

Thallium forms a compound with the formula TlI₃… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE AdvancedNEETA-Level+24A-LevelIBStemPy Lab

Hard

20.

Magnesium silicide (76.70 g/mol) of mass 15.34 g reacts with excess hydrochloric acid and forms… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE AdvancedNEETA-Level+24A-LevelIBStemPy Lab

Hard

21.

A sample of 100.0 g of lead(II) oxide (223.20 g/mol) is heated in air at about 750 K until it is… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE AdvancedNEETA-Level+24A-LevelIBStemPy Lab

Hard

22.

A flask holds a mixture of 6.41 g of calcium carbide (64.10 g/mol) and 2.88 g of aluminium carbide… New

High School (11–12) · Groups 13 and 14: Boron and Carbon FamiliesJEE AdvancedNEETA-Level+24A-LevelIBStemPy Lab

Hard

23.

A solution of D-glucose in water has stood for a day… New

High School (11–12) · BiomoleculesJEE AdvancedBoard ExamA-Level+25A-LevelIBStemPy Lab

Hard

24.

D-galactose has the Fischer pattern R L L R for C-2 to C-5, where R means the -OH is on the right… New

High School (11–12) · BiomoleculesJEE AdvancedBoard ExamA-Level+25A-LevelIBStemPy Lab

Hard

25.

A syrup contains 100 g of sucrose (342.30 g/mol) and is hydrolysed completely… New

High School (11–12) · BiomoleculesJEE AdvancedBoard ExamA-Level+25A-LevelIBStemPy Lab

Hard