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Page 1 2024 Q1 - 2024 (01 Feb Shift 1) The ratio of 14 C 12 C in a piece of wood is 1 8 part that of atmosphere. If half life of 14 C is 5730 years, the age of wood sample is ______ years. Q2 - 2024 (01 Feb Shift 2) The following data were obtained during the first order thermal decomposition of a gas A at constant volume: A(g)? 2B(g) + C(g) S.No Time/s Total pressure /(atm) 1. 0 0.1 2. 115 0.28 The rate constant of the reaction is _____ × 10 -2 s -1 (nearest integer) Q3 - 2024 (27 Jan Shift 1) Consider the following data for the given reaction 2HI (g) ? H 2(g) + I 2(g) 1 2 3 HI molL -1 0.005 0.01 0.02 Rate molL -1 s- 1 7.5 × 10 -4 3.0 × 10 -3 1.2 × 10 -2 The order of the reaction is __ Page 2 2024 Q1 - 2024 (01 Feb Shift 1) The ratio of 14 C 12 C in a piece of wood is 1 8 part that of atmosphere. If half life of 14 C is 5730 years, the age of wood sample is ______ years. Q2 - 2024 (01 Feb Shift 2) The following data were obtained during the first order thermal decomposition of a gas A at constant volume: A(g)? 2B(g) + C(g) S.No Time/s Total pressure /(atm) 1. 0 0.1 2. 115 0.28 The rate constant of the reaction is _____ × 10 -2 s -1 (nearest integer) Q3 - 2024 (27 Jan Shift 1) Consider the following data for the given reaction 2HI (g) ? H 2(g) + I 2(g) 1 2 3 HI molL -1 0.005 0.01 0.02 Rate molL -1 s- 1 7.5 × 10 -4 3.0 × 10 -3 1.2 × 10 -2 The order of the reaction is __ Q4 - 2024 (27 Jan Shift 2) Time required for completion of 99.9% of a First order reaction is __ times of half life ?? 1/2 of the reaction. Q5 - 2024 (29 Jan Shift 1) For a reaction taking place in three steps at same temperature, overall rate constant K = K 1 K 2 K 3 . If Ea 1 , Ea 2 and Ea 3 are 40,50 and 60kJ/mol respectively, the overall Ea is ______kJ/mol. Q6 - 2024 (29 Jan Shift 2) The half-life of radioisotopic bromine - 82 is 36 hours. The fraction which remains after one day ______ is × 10 -2 (Given antilog 0.2006 = 1.587) Q7 - 2024 (30 Jan Shift 1) The rate of first order reaction is 0.04 molL -1 s -1 at 10 minutes and 0.03 molL -1 s -1 at 20 minutes after initiation. Half life of the reaction is minutes. (Given log2 = 0.3010, log3 = 0.4771) Q8 - 2024 (30 Jan Shift 2) NO 2 required for a reaction is produced by decomposition of N 2 O 5 in CCl 4 as by equation 2N 2 O 5 (g)? 4NO 2 (g) + O 2 (g) The initial concentration of N 2 O 5 is 3mol L -1 and it is 2.75mol L -1 after 30 minutes. The rate of formation of NO 2 is x × 10 -3 mol L -1 min -1 , value of x is Q9 - 2024 (31 Jan Shift 1) Integrated rate law equation for a first order gas phase reaction is given by (where ?? ?? is initial pressure and P t is total pressure at time t) (1) k = 2.303 t × log P i 2P i -P t (2) k = 2.303 t × log 2P i 2P i -P t (3) k = 2.303 t × log 2P i -P t P i (4) ?? = 2.303 ?? × ?? ?? 2?? ?? -?? ?? Page 3 2024 Q1 - 2024 (01 Feb Shift 1) The ratio of 14 C 12 C in a piece of wood is 1 8 part that of atmosphere. If half life of 14 C is 5730 years, the age of wood sample is ______ years. Q2 - 2024 (01 Feb Shift 2) The following data were obtained during the first order thermal decomposition of a gas A at constant volume: A(g)? 2B(g) + C(g) S.No Time/s Total pressure /(atm) 1. 0 0.1 2. 115 0.28 The rate constant of the reaction is _____ × 10 -2 s -1 (nearest integer) Q3 - 2024 (27 Jan Shift 1) Consider the following data for the given reaction 2HI (g) ? H 2(g) + I 2(g) 1 2 3 HI molL -1 0.005 0.01 0.02 Rate molL -1 s- 1 7.5 × 10 -4 3.0 × 10 -3 1.2 × 10 -2 The order of the reaction is __ Q4 - 2024 (27 Jan Shift 2) Time required for completion of 99.9% of a First order reaction is __ times of half life ?? 1/2 of the reaction. Q5 - 2024 (29 Jan Shift 1) For a reaction taking place in three steps at same temperature, overall rate constant K = K 1 K 2 K 3 . If Ea 1 , Ea 2 and Ea 3 are 40,50 and 60kJ/mol respectively, the overall Ea is ______kJ/mol. Q6 - 2024 (29 Jan Shift 2) The half-life of radioisotopic bromine - 82 is 36 hours. The fraction which remains after one day ______ is × 10 -2 (Given antilog 0.2006 = 1.587) Q7 - 2024 (30 Jan Shift 1) The rate of first order reaction is 0.04 molL -1 s -1 at 10 minutes and 0.03 molL -1 s -1 at 20 minutes after initiation. Half life of the reaction is minutes. (Given log2 = 0.3010, log3 = 0.4771) Q8 - 2024 (30 Jan Shift 2) NO 2 required for a reaction is produced by decomposition of N 2 O 5 in CCl 4 as by equation 2N 2 O 5 (g)? 4NO 2 (g) + O 2 (g) The initial concentration of N 2 O 5 is 3mol L -1 and it is 2.75mol L -1 after 30 minutes. The rate of formation of NO 2 is x × 10 -3 mol L -1 min -1 , value of x is Q9 - 2024 (31 Jan Shift 1) Integrated rate law equation for a first order gas phase reaction is given by (where ?? ?? is initial pressure and P t is total pressure at time t) (1) k = 2.303 t × log P i 2P i -P t (2) k = 2.303 t × log 2P i 2P i -P t (3) k = 2.303 t × log 2P i -P t P i (4) ?? = 2.303 ?? × ?? ?? 2?? ?? -?? ?? Q10 - 2024 (31 Jan Shift 2) r = k A for a reaction, 50% of A is decomposed in 120 minutes. The time taken for 90% decomposition of A is _____ minutes. Answer Key Q1 (17190) Q2 (2) Q3 (2) Q4 (10) Q5 (30) Q6 (63) Q7 (24) Q8 (17) Q9 (1) Q10 (399) Solutions Q1 Q2 Page 4 2024 Q1 - 2024 (01 Feb Shift 1) The ratio of 14 C 12 C in a piece of wood is 1 8 part that of atmosphere. If half life of 14 C is 5730 years, the age of wood sample is ______ years. Q2 - 2024 (01 Feb Shift 2) The following data were obtained during the first order thermal decomposition of a gas A at constant volume: A(g)? 2B(g) + C(g) S.No Time/s Total pressure /(atm) 1. 0 0.1 2. 115 0.28 The rate constant of the reaction is _____ × 10 -2 s -1 (nearest integer) Q3 - 2024 (27 Jan Shift 1) Consider the following data for the given reaction 2HI (g) ? H 2(g) + I 2(g) 1 2 3 HI molL -1 0.005 0.01 0.02 Rate molL -1 s- 1 7.5 × 10 -4 3.0 × 10 -3 1.2 × 10 -2 The order of the reaction is __ Q4 - 2024 (27 Jan Shift 2) Time required for completion of 99.9% of a First order reaction is __ times of half life ?? 1/2 of the reaction. Q5 - 2024 (29 Jan Shift 1) For a reaction taking place in three steps at same temperature, overall rate constant K = K 1 K 2 K 3 . If Ea 1 , Ea 2 and Ea 3 are 40,50 and 60kJ/mol respectively, the overall Ea is ______kJ/mol. Q6 - 2024 (29 Jan Shift 2) The half-life of radioisotopic bromine - 82 is 36 hours. The fraction which remains after one day ______ is × 10 -2 (Given antilog 0.2006 = 1.587) Q7 - 2024 (30 Jan Shift 1) The rate of first order reaction is 0.04 molL -1 s -1 at 10 minutes and 0.03 molL -1 s -1 at 20 minutes after initiation. Half life of the reaction is minutes. (Given log2 = 0.3010, log3 = 0.4771) Q8 - 2024 (30 Jan Shift 2) NO 2 required for a reaction is produced by decomposition of N 2 O 5 in CCl 4 as by equation 2N 2 O 5 (g)? 4NO 2 (g) + O 2 (g) The initial concentration of N 2 O 5 is 3mol L -1 and it is 2.75mol L -1 after 30 minutes. The rate of formation of NO 2 is x × 10 -3 mol L -1 min -1 , value of x is Q9 - 2024 (31 Jan Shift 1) Integrated rate law equation for a first order gas phase reaction is given by (where ?? ?? is initial pressure and P t is total pressure at time t) (1) k = 2.303 t × log P i 2P i -P t (2) k = 2.303 t × log 2P i 2P i -P t (3) k = 2.303 t × log 2P i -P t P i (4) ?? = 2.303 ?? × ?? ?? 2?? ?? -?? ?? Q10 - 2024 (31 Jan Shift 2) r = k A for a reaction, 50% of A is decomposed in 120 minutes. The time taken for 90% decomposition of A is _____ minutes. Answer Key Q1 (17190) Q2 (2) Q3 (2) Q4 (10) Q5 (30) Q6 (63) Q7 (24) Q8 (17) Q9 (1) Q10 (399) Solutions Q1 Q2 Q3 Let, R = k[HI] n using any two of given data, 3 × 10 -3 7.5 × 10 -4 = 0.01 0.005 n n = 2 Q4 t 99.9% t 1/2 = 2.303 k a a-x 2.303 k log2 = log 100 100-99.9 log2 = log10 3 log2 = 3 0.3 = 10 Q5 ?? = ?? 1 ·?? 2 ?? 3 = ?? 1 ·?? 2 ?? 3 ·?? - ?? ?? 1 +?? ?? 2 -?? ?? 3 ?? ?? ?? ?? ?? ·?? -?? ?? /?? ?? = ?? 1 ?? 2 ?? 3 ·?? - ?? ?? 1 +?? 2 -?? ?? 3 ?? ?? E a = E a 1 + E a 2 - E a 3 = 40 + 50- 60 = 30kJ/mole Q6 Half life of bromine -82 = 36 hours Page 5 2024 Q1 - 2024 (01 Feb Shift 1) The ratio of 14 C 12 C in a piece of wood is 1 8 part that of atmosphere. If half life of 14 C is 5730 years, the age of wood sample is ______ years. Q2 - 2024 (01 Feb Shift 2) The following data were obtained during the first order thermal decomposition of a gas A at constant volume: A(g)? 2B(g) + C(g) S.No Time/s Total pressure /(atm) 1. 0 0.1 2. 115 0.28 The rate constant of the reaction is _____ × 10 -2 s -1 (nearest integer) Q3 - 2024 (27 Jan Shift 1) Consider the following data for the given reaction 2HI (g) ? H 2(g) + I 2(g) 1 2 3 HI molL -1 0.005 0.01 0.02 Rate molL -1 s- 1 7.5 × 10 -4 3.0 × 10 -3 1.2 × 10 -2 The order of the reaction is __ Q4 - 2024 (27 Jan Shift 2) Time required for completion of 99.9% of a First order reaction is __ times of half life ?? 1/2 of the reaction. Q5 - 2024 (29 Jan Shift 1) For a reaction taking place in three steps at same temperature, overall rate constant K = K 1 K 2 K 3 . If Ea 1 , Ea 2 and Ea 3 are 40,50 and 60kJ/mol respectively, the overall Ea is ______kJ/mol. Q6 - 2024 (29 Jan Shift 2) The half-life of radioisotopic bromine - 82 is 36 hours. The fraction which remains after one day ______ is × 10 -2 (Given antilog 0.2006 = 1.587) Q7 - 2024 (30 Jan Shift 1) The rate of first order reaction is 0.04 molL -1 s -1 at 10 minutes and 0.03 molL -1 s -1 at 20 minutes after initiation. Half life of the reaction is minutes. (Given log2 = 0.3010, log3 = 0.4771) Q8 - 2024 (30 Jan Shift 2) NO 2 required for a reaction is produced by decomposition of N 2 O 5 in CCl 4 as by equation 2N 2 O 5 (g)? 4NO 2 (g) + O 2 (g) The initial concentration of N 2 O 5 is 3mol L -1 and it is 2.75mol L -1 after 30 minutes. The rate of formation of NO 2 is x × 10 -3 mol L -1 min -1 , value of x is Q9 - 2024 (31 Jan Shift 1) Integrated rate law equation for a first order gas phase reaction is given by (where ?? ?? is initial pressure and P t is total pressure at time t) (1) k = 2.303 t × log P i 2P i -P t (2) k = 2.303 t × log 2P i 2P i -P t (3) k = 2.303 t × log 2P i -P t P i (4) ?? = 2.303 ?? × ?? ?? 2?? ?? -?? ?? Q10 - 2024 (31 Jan Shift 2) r = k A for a reaction, 50% of A is decomposed in 120 minutes. The time taken for 90% decomposition of A is _____ minutes. Answer Key Q1 (17190) Q2 (2) Q3 (2) Q4 (10) Q5 (30) Q6 (63) Q7 (24) Q8 (17) Q9 (1) Q10 (399) Solutions Q1 Q2 Q3 Let, R = k[HI] n using any two of given data, 3 × 10 -3 7.5 × 10 -4 = 0.01 0.005 n n = 2 Q4 t 99.9% t 1/2 = 2.303 k a a-x 2.303 k log2 = log 100 100-99.9 log2 = log10 3 log2 = 3 0.3 = 10 Q5 ?? = ?? 1 ·?? 2 ?? 3 = ?? 1 ·?? 2 ?? 3 ·?? - ?? ?? 1 +?? ?? 2 -?? ?? 3 ?? ?? ?? ?? ?? ·?? -?? ?? /?? ?? = ?? 1 ?? 2 ?? 3 ·?? - ?? ?? 1 +?? 2 -?? ?? 3 ?? ?? E a = E a 1 + E a 2 - E a 3 = 40 + 50- 60 = 30kJ/mole Q6 Half life of bromine -82 = 36 hours t 1/2 = 0.693 K K = 0.693 36 = 0.01925hr -1 1 st orderrxn kinetic equation ?? = 2.303 ?? log ?? ?? -?? log a a-x = t×K 2.303 (t = 1day= 24hr) log a a- x = 24hr × 0.01925hr -1 2.303 log a?? h a- x = 0.2006 a a- x = antilog(0.2006) a a- x = 1.587 If a = 1 1 1-x = 1.587 ? 1- x = 0.6301 = Fraction remain after one day Q7 4 3 = e 600k (2-1) 4 3 = e 600k ln 4 3 = 600k ln 4 3 = 600 × ln2 t 1/2 t 1/2 = 600 ln2 ln 4 3 secRead More
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