This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
At certain temperature, the H^(+) ion concentration of water is 4 xx 10^(-7) 'M then the value of K_(w), at the same temperature is |
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Answer» `10 ^(-14) M^(2) ` ` (4xx10 ^(-17))(4XX 10^(-17)) = K_W` ` 16 xx 10 ^(-14)M^(2)(or) 1.6 xx 10^(-13)M^(2) ` |
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| 2. |
At certain temperature RMS velocity of ethane molecules is 5.33 xx 10^(4) cm s^(-1). Find the RMS velocity of carbondioxide at the same temperature. |
| Answer» SOLUTION :`4.4 XX 10^(4) cms^(-1)` | |
| 3. |
At certain temperature and under a pressure of 4 atm , PCl_(5) is 10 % dissociated . Calculate the pressure at which PCl_(5) will be 20 % dissociated at temperature remaining constant . |
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Answer» Solution :Calculation of `K_(P)` `{:(PCl_(5) (g) , to , PCl_(3) (g)+ Cl_(2) (g)) , (1 , ," "0 "" 0) , ((1 - alpha) , , ""alpha "" alpha):}` Total no. of moles in the EQUILIBRIUM mixture = `1 - alpha + alpha + alpha = (1 + alpha)` mol . Let the total pressure of equilibrium mixture = p atm Partial pressure of `PCl_(5) , P_(PCl_(5)) = (1 - alpha)/(1 + alpha)xx p` atm Partial pressure of `PCl_(3) = (alpha)/(1 + alpha) xx p` atm Partial pressure of `Cl_(2) , PCl_(2) = (alpha)/(1 + alpha) xx p` atm `K_(p) = (P_(PCl_(2)) xx P_(Cl_(2)))/(P_(PCl_(3))) = (((alpha)/(1 + alpha) p " atm" ) xx ((alpha)/(1 + alpha) p atm))/((1-alpha)/(1 + alpha) p atm) = (alpha^(2) p)/(1 - alpha^(2))` P = 4 atm and `alpha = 10% = (10)/(100) = 0.1` `K_(p) = ((0.1) xx (0.1) xx (4 atm))/(1 - (0.1)^(2)) = (0.04)/(0.99) = 0.04` atm Calculation of P under NEW condition `alpha = 0.2 , K_(p) = 0.04` atm `K_(p) = (alpha^(2) p)/(1 - alpha^(2)) ` or p = `(K_(p) ( 1 - alpha^(2)))/(alpha^(2))` `= ((0.04 atm) [(1- (0.2)^(2))])/((0.2)^(2)) = (0.04 atmxx 0.96)/(0.04)` `= 0.96` atm |
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| 4. |
At certain temperature 28 gm of N_(2) and 6 gm of H_(2) are taken in a 2 lit vessel in Haber's process if concentration of N_2 at equilibrium is |
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Answer» Greater than the concentration of `H_2` |
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| 5. |
At Boyle's temperature the value of compressibility factor Z=(PV_(m)//RT=V_("real")//V_("ideal")) has a value of 1, over wide range of pressure. This is due to the fact that in the van der Waal's equation: |
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Answer» the CONSTANT 'a' is negligible and not 'b' |
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| 6. |
At Boyle temperature, |
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Answer» the effects of the REPULSIVE and atractive INTERMOLECULAR FORCES just cancelled each other |
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| 7. |
At atmospheric pressure ices crystallised in the ......... form but at very low temperature it condenses to ......... form. |
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Answer» |
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| 9. |
At any top of the mountain the thermoneterreads 0^(@)C and the harometer reads 710 mm Hg. At the bottom of the mountain the temperature is 40^(@)C and pressure is 760mm Hg. Ratio of density of air at the top with that at the bottom is: |
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Answer» `1:1` |
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| 10. |
At any temperature ,the proton concentration of water is |
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Answer» `10^(7) M` at ` 25^(@)C, K_W =10 ^(-14) ` |
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| 11. |
At any temperature,P^(H)+P^(OH)is equal to |
| Answer» Solution :` [H^(+) ] [OH^(-)] K_W rArr P^(H)+P^(OH)= PK_W ` | |
| 12. |
At absolute zero which of the following statements about an ideal gas are correct ? a) The motion of gaseous molecules ceases b) The volume of gas increases by 273 times c) The K.E of gas molecules increases ab normally d) The volume of a gas becomes zero |
| Answer» ANSWER :D | |
| 13. |
At absoloute zero |
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Answer» Only para-hydrogen exists |
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| 14. |
At a temperature of absolute zero an intrinsic semiconductor is |
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Answer» an INSULATOR |
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| 15. |
At a particular temperature, why vapour pressure of acetone is less that than of ether ? |
| Answer» SOLUTION :This is because the INTERMOLECULAR forces of ATTRACTION in acetone are stronger than those present in ETHER. | |
| 16. |
At a particular temperature, a certain quantity ofgas occupies a volume of 74 "cm"^3 at a pressure of 760 mm. If the pressure is decreased to 740 mm, what will be the volume ofthe gas at the sametemperaute ? |
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Answer» Solution :In this case, `P_1 = 760 mm "" P_2 = 740 mm` `V_1 = 74 cm^3 "" V_2` = ? ACCORDING to Boyle.s LAW, at CONSTANT temperature `P_1 V_1 = P_2 V_2` or `V_2= (P_1 V_1)/(P_2) = (760xx74)/(740) = 76 cm^3` |
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| 17. |
At a particular temperature and pressure, if the number of moles of an ideal gas is increased by 50% then- |
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Answer» final VOLUME of the gas will be 1.5 times of its iniital volume |
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| 18. |
At a particular temperature and atmospheric pressure, the solid and liquid phases of a pure substance can exist in equilibrium. Which of the following term defines this temperature ? |
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Answer» NORMAL melting point |
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| 19. |
At a particular temperature and atmospheric pressure, the solid and liquidphases of a pure substance can exist in equilibrium. Which of substance can exist in equilibrium. Which of the following term defines this temperature ? |
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Answer» Normal melting POINT |
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| 20. |
At a given temperature, When an acid is added to water then the value of K_(w) |
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Answer» Decreases |
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| 21. |
At a given temperature the ratio of RMS and average velocities is |
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Answer» `1.086:1` |
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| 22. |
At a given temperature, Ke is 4 for the reaction H_(2(g)) + CO_(2(g)) hArr H_(2)O_((g)) + CO_((g)). Initially 0.6 moles each of H_(2) and CO_(2) are taken in 1lit flask. The equilibrium concentration of H_(2) O_((g)) is |
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Answer» 0.4M `K_(c)=(X^(2))/((0.6-x)^(2))=4 implies (x)/(0.6-x)=2` x=1.2-3x, 3x=1.2, `x=0.4=[H_(2)O]` |
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| 23. |
At a given temperature and pressure, the equilibrium constant values for the equilibria 3A_2+B_2+2Coverset(K_1)hArr 2A_3BCoverset(K_2)hArr(3)/(2)[A_2]+1/2+C The relation between K_1 and K_2 is …….. |
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Answer» `K_1=(1)/(sqrt(k_2))` `IMPLIES``K_1=([A_2]^(3)[B_2][C]^(2))/([A_3BC]^(2))`...(2) COMPARING (1) & (2), `K_2^2 =(1)/(K_1)impliesK_2=K_1^(-1/2)` |
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| 24. |
At a given temperature and pressure, the equilibrium constant values for the equilibria 3A_(2)+B_(2)+2Coverset(K_(1))(hArr)2A_(3)BC and A_(3)BCoverset(K_(2))(hArr)3/2[A_(2)]+(1)/(2)B_(2)+C The relation between K_(1) and K_(2) is |
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Answer» `K_(1)=(1)/(sqrt(K_(2)))` |
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| 25. |
At a given temperature and pressure, the equilibrium constant values for the equilibria 3A_2 + B_2 + 2C overset(K_1)hArr 2A_3 BC and A_3 BC overset(K_2)hArr 3/2[A_2] + 1/2B_2 +C The relation between K_1 and K_2 is |
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Answer» `k_1 = 1/sqrtK_2` `K_2= ([A]^(3/2)[B_2]^(1/2)[C])/([A_3BC])` `rArr K_2^2 =([A_2]^3[B_2][C]^2)/([A_3BC]^2)`...(2) COMPARING (1) & (2), `K_2^2 = 1/K_1 rArrK_2= K_1^((-1)/2)` |
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| 26. |
At a given temperature and pressure, 20mL of air diffused through a porous membrance in 15 second. Calculate the volume of carbon dioxide which will diffuse in 10 seconds if the vapour density of air is 14.48 |
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Answer» |
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| 27. |
At a constant volume, a quantity of an ideal gas has a pressureof 800 mm Hg at 300 K. At what pressure, the temperature will be halved ? |
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Answer» 1400 MM HG |
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| 28. |
At a constant temperature, a gas occupies a valume of 500 ml under a pressure of 500 ml under a pressure of 0.82 bar. What will be its volume under a pressure of 1.5 bar ? |
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Answer» Solution :`P_(1)=0*82` bar, `P_(2)=1*5` bar , `V_(1)=500 ml, V_(2) ?` `P_(1)V_(1)=P_(2),V_(2), V_(2)=(P_(1)V_(1))/(P_(2))=(0*82xx500)/(1*5)` `:. V_(2)=273*33ml` |
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| 29. |
At a constant temperature a gas is initially at 2 atm pressure. To compress it to 1/8th of its initial volume, pressure to be applied is |
| Answer» ANSWER :D | |
| 30. |
At a constant temperature, a container of fixed vo,ume holds NH_(3) and HCl gases. Can dalton's law of partial pressures be applied to this gases mixture? |
| Answer» Solution :DALTON's law of partial pressure is APPLICABLE only to a mixture composed to TWO or more nono-reacting gases. `NH_(3)` and HCl gasea react together to produce `NH_(4)Cl`. So dalton's law of partial pressure will not e applicable in this case. | |
| 31. |
At a constant pressure, the density of a certain amount of an ideal gas is "____________". |
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Answer» DIRECTLY PROPORTIONAL to the temperature |
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| 32. |
At a certain temperature 'T',the endothermic reaction A rarrB proceeds virtually to the end. Determine. (i) Signof DeltaS for this reaction(ii) sign of DeltaS for the reaction B rarr A at the temperature T, and (iii) the possibility of reaction B rarr A proceeding at a low temperature. |
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Answer» Solution :(i) Energyfactor opposes. So enthalpy factor must favour, i.e.,`DELTAS` must be positive. (II) For `A rarr B, DeltaG` is `-ve` , therefore,for `B rarr A,DeltaG` will be `+ve`. (III) For `B rarr A , DeltaH = -ve` and `DeltaS` is ALSO `-ve , i.e.,DeltaS` opposes the process but a lowtemp.,`T DeltaS`may be so low that `DeltaH`is greater in magnitude than `T DeltaS` and the process will be SPONTANEOUS. |
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| 33. |
At a certain temperature ,the solubility of the salt M_m A_nin water is .s. moles per litre. The solubility product of the salt is |
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Answer» `M^(m)A^(N) ` ` KsP=(ms) ^(m)(ns) ^(n)=m^(m) n^(n) s^(m+n) ` |
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| 34. |
At a certain temperature, the equilibrium constant K_(c) is 1 for the reaction, SO_((g))+NO_(2(g))hArrSO_(3(g))+NO_((g)) If 1.0 mol each of the four gases is taken in a one litre container the concentration of NO_(2) at equilibrium would is |
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Answer» 1.6 MOL `L^(-1)` |
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| 35. |
At a certain temperature, the degree of dissociation of PCI_(5) was found to be 0.25 under a total pressure of 15 atm. The value of K_(P) for the dissociation of PCl_(5) is |
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Answer» <P>1 Given `alpha = 0.25` Total no. of MOLES at equilibrium = `1+alpha=1.25` Total pressure = 15 atm `K_(P)=(P_(PCl_(3)) xx P_(Cl_(2)))/(P_(PCl_(5)))=(((0.25)/(1.25) xx 15)xx((0.25)/(1.25) xx 15))/(((0.75)/(1.25) xx 15))=1` |
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| 36. |
At a certain temperature the equilibrium constant K_c is 0.25 for the reaction A_(2(g))+B_(2(g)) harr C_(2(g))+D_(2(g)) Ifwetake1moleofeachofthefourgasesina10litrecontainer,whatwouldbeequilibrium concentration of A_(2(g))? |
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Answer» 0.331 M at t=0, `0.1""0.1""0.1""0.1` `Q=1 gt Kimplies` reaction PROCEEDS BACKWARD at eqm `0.1+x""0.1-x""0.1-x` `K=(1)/(4)=((0.1-x)^(2))/((0.1+x)^(2)) implies (1)/(2)=(0.1-x)/(0.1+x) implies x=(0.1)/(3)` `implies [A]_("eqm")=0.1+(0.1)/(3)=(0.4)/(3)=0.133M` |
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| 37. |
At a certain temperature 'T', endothermic reaction A rarr B proceeds virtually to the end. Determine the sign of Delta S for the reaction A rarr B and Delta G for the reverse reaction B rarr A. |
| Answer» Solution :`Delta S = +ve, Delta H = +ve, Delta G = -ve` and the reaction proceeds virtually to the end. The in REVERSE reaction `B RARR A, Delta S = -ve, Delta G = +ve`. | |
| 38. |
At a certain temperature and total pressure of 10^(5) Pa. iodine vapours conatain 40% by volume of idine atoms in the equilibrium I_(2)(g) hArr 2I(g) Calculate K_p for the equilibrium. |
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Answer» Solution :According to availabel data: Total PRESSUE of equilibrium misture `=10^5pa` Partial pressure of iodine molecules `(I_2) = (60)/(100) xx (10^5 Pa) = 0.6 xx 10^(5)` Pa `I_(2)(g) hArr 2I(g)` `(0.6 xx 105 pa) (0.4 xx 105 Pa)` `K_(p) = (P_I^2)/(P_1) = ((0.4 xx 10^2 Pa)^2)/((0.6 xx 10^5 Pa))=2.67 xx 10^4 pa` |
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| 39. |
At a certain temperature and total pressure of 10^5 Pa, iodine vapour contains 40% by volume of I atoms I_(2(g)) hArr 2I_((g)) . Calculate K_p for the equilibrium. |
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Answer» Solution :At equilibrium total pressure = `10^5` Pa Partial pressure`prop` Percentage by volume of gas, CONCENTRATION of atom of I= 40% by volume `THEREFORE p_1`=40% of (Total pressure) `=(10)^5 (40//100)=0.40xx10^5` Pa `p_(I_2)`= 60% of `10^5 =10^5 xx 0.60` `=0.60xx10^5` Pa Equilibrium reaction = `I_(2(g)) hArr 2I_((g))` `therefore K_p=(p_I)^2/(p_(I_2))=(0.40xx10^5)^2/(0.60xx10^5)= 0.2667xx10^5` `=2.667xx10^4` Pa |
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| 40. |
At a certain temperature and total pressure of 10^5 Pa ,iodine vapour contains 40% by volume of iodine atoms. Calaulate K_p for the equilibrium, 1_2(g)iff2I(g). |
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Answer» Solution :Percentage by VOLUME of gaseous iodine atoms=`40%` `therefore` Mole fraction of gaseous iodine ATOME =`40/100` `therefore` Partial pressure of gaseous iodine atome= `40/100xx10^5Pa=0.4xx10^5Pa` Partial pressure of gaseous `I_2=0.6xx10^5 PA` `therefore K_p=P_I^2/P_(I_2)=(0.4xx10^5)^2/(0.6xx10^5)=2.67xx10^4Pa` |
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| 41. |
At a certain temperature and total pressure of 10^(5)Pa, iodine vapour contains 40% by volume of I atoms I_(2)(g)hArr2I(g) Calculate K_(p) for the equilibrium |
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Answer» `0.67` |
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| 42. |
At 8.2^@C, 0.778 mol dm^-3of N_2O_4 and 2.84 times 10^-3 mol dm^-3 of NO_2 were observed in certain experiment in a chloroform solution. Calculate the value of equilibrium constant for the reaction, 2NO_2(g) leftrightarrow N_2O_4 (g). |
| Answer» SOLUTION :`9.6 TIMES 10^4 dm^3 mol^-1` | |
| 43. |
At 817^(@)C, K_(p) for the reaction between CO_(2) (g) and excess hot graphite (s) is 10 atm (a) What are the equilibrium concentrations of the gases at817^(@)C and a total pressure of 5 atm ? (b) At what total pressure, the gas contains 5 % CO_(2) by voume ? |
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Answer» Solution :(a) ` CO_(2) + C(g) hArr2 CO (g)` Supposeat equilibrium , pressure of `CO_(p_CO_(2)) = p "atm "` Then pressureof ` CO_(2) (p_(CO_(2)))= 5 - p " atm " ` ` K_(p) (p_(CO)^(2))/(p_(CO_(2)))= (p^(2))/((5 - p))"" = 10 or p^(2) + 10 p - 50 = 0 ` or `p = ( -b pm sqrt (b^(2) - 4AC))/(2a) = (-10 pm sqrt ( 100- (-200)))/2 = 3* 66" atm " ` Thus , at eqm.` p _(CO) = 3 * 6 "atm " ` ` p_(CO_(2)) = 5 - 3* 66 = 1* 34 "atm "` Applying` PV = nRT or n/V = P /(RT) , i.e ., "molar conc." = P/(RT) ` Molar conc. of `CO = (3*66)/(0* 0821 xx ( 817 + 273)) = 0*041 " mol"L ^(-1)` Molar conc. of ` CO_(2) = (1*34)/(0*0821 xx 1090 ) = 0* 015 " mol" L^(-1)` (b) When the gas contains 5 % `CO_(2)`by volume , this MEANS that pressure EXERTED by `CO_(2) ` is also5 %of the total pressure . Thus, if P is the total pressure , then at equilibrium , ` p_(CO_(2)) =0*05 P and p_(CO) = 0* 95 P ` ` K_(P)= (p_(CO)^(2))/p_(CO^(2))= (0*95 P)^(2)/((0* 05 P)) = 10 or 18* 05 P= 10 or P = 0* 554 "atm "` |
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| 44. |
At 740 torr pressure volume of N_(2) gas is 800 mL, if volume becomes 540 mL then calculate pressure of gas ? |
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Answer» |
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| 45. |
At 717 K 3.2 mol HI heated in a close tube. 20% I decompose at equilibrium 2HI_((g)) hArr H_(2(g))+ I_(2(g))and find K_c and mol of HI, H_2 and I_2. |
| Answer» SOLUTION :K=0.0156 , MOLE `H_2` and `I_2` : 0.32 for both, HI:2.56 MOL | |
| 46. |
At 700K, the equilibrium constant K_(p), for the reaction 2SO_(3(g))hArr2SO_(2(g))+O_(2(g)) is 1.8xx10^(-3) atm. The value of K_(c) for the above reaction at the same temperature in moles per litre would be |
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Answer» <P>`1.1xx10^(7)` `1.8xx10^(-3)=K_(c)(0.0832xx700)^(1),` `K_(c)=(1.8xx10^(-3))/(0.0832xx700)=3.09xx10^(-5)` |
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| 47. |
At 700 K the equilibrium constant K_(p) for the reaction 2 SO_(3) (g) hArr 2 SO_(2) (g) + O_(2) (g) is 1.80 xx10^(-3)kPa. What is the numerical value of K_(c) in moles per litre for this reaction at the same temperature ? |
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Answer» Solution :Here `n_(p) =3 " moles" , n_(r) = 2 " moles "` `:. " "DELTAN = n_(p) - n _(r) = 3- 2 = 1 ` ` K_(p) = 1.80 xx 10^(-3) kPA = 1. 80 PA = (1.80)/(10^(5)) "bar" = 1.80 xx 106(-5) " bar"` `R= 0.0831 L " bar " K^(-1) mol^(-1), T=700 K` USING the relation , `K_(p) = K_(C) (RT)^Delta n` `K_(c) = (K_(p))/(RT)= (1.80 xx 10^(-5) "bar")/(0.0831 L " bar " K^(-1) xx 700 K )= 3.09 xx 106(-7) " mol " L^(-1)` `" Alternatively, " K_(c) = (K_(p))/(RT) =(1.8Pa)/((8.314 JK^(-1) mol^(-1))(700 K))""( :' Pa = N m^(-2), J = N m)` `= 3.09 xx 10^(-4)" mol " m^(-3) = 3.09 xx 10^(-7)" mol " dm^(-3) or" mol " L^(-1)` |
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| 48. |
At 700 K , the equilibrium constant for the reaction : H_2(g) + I_2(g) hArr 2HI(g)is 54.8 . If 0.5 mol L^(-1)of HI(g) is present at equilibrium at 700 K, what are the concentrationof H_2(g) and I_2(g) assuming that we initially started with HI(g) and allowed it to reach equilibrium at 700 K ? |
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Answer» Solution :`{:(,2HI(G) hArr,H_2(g) +, I_2),("At equi.",0.5,X,x):}` `K_c=([H_2][I_2])/[HI]^2=1/54.8` `x^2/(0.5)^2=1/54.8` `x^2=0.25/54.4.56xx10^(-3)` x=0.068 `[H_2]=[I_2]="0.068 mol L"^(-1)` |
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| 49. |
At 700 k, hydrogen and bromine react to form bromine react to form hydrogen bromide. The value of equilibrium constant for this reaction is5 xx 10^(8). .Claculate the amount of H_(2), Br_(2) and HBr " at equilibrium it a mixture of" 0*6" mole of "H_(2) and 0*2 " mole of "Br_(2)is heated to700 K. |
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Answer» Solution :`{:(,PCl_(5)(g),hArr,PCl_(3) (g) ,+,Cl_(2)(g)),("Initial",3*00 " mol ",,0,,0),("At. eqm.",(3*0 - x)" mol ",,x " mol" ,,x " mol" ),("MOLAR CONC.",(3*0-x),,x,,x):}` `{:(,H_(2),+,Br_(2),hArr,2 HBr),("Intial amounts",0*6"mole",,0*2 "mole",,),("Amount at eqm.",(0*6-x),,(0*2 - x),,2" x moles"),("Molar cones at eqm.",((0*6-x)/V),,(0*2 -x)/V,,(2x)/V mol L^(-1)):}` ( V= Volumeof reaction mixture) `K= ((2x//V)^(2))/((0*6-x)/V xx(0*2 -x)/V)=(4x^(2))/((0*6-x)(0*2-x))= 5 xx 10^(8)` or `(4x^(2))/((0*12- 0*8 x +x^(2)))=5 xx 10^(8) or (x^(2) - 0*8 x + 0*12) xx 5 xx 10^(8) = 4 x^(2)` Neglecting `4x^(2) " in comparison to " 5 xx 10^(8) x^(2), (i.e., "taking 4 "x^(2)=0) ` we get `x^(2) - - 0*8 x + 0* 12 = 0` ` x= ( 0*8 pm sqrt((0*8)^(2) - 4 xx 0*12))/2=(0*8 pm 0*693)/2= 0*7465 and 0*0535` ` x= 0* 7465 " is impossible ( because initially", H_(2) = 0*6 "mole")` Hence, `x= 0*0535` `:. "Amounts at equilibrium will be " ` `H_(2) = 0*6 - 0*0535 = 0*5465" mole"` `Br_(2) = 0*2 - 0*0535 = 0*1465 " mole " ` `HBr = 2 xx 0*0535 = 0*1070 " mole"` |
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| 50. |
At 700 K H_2 and I_2 with reaction H_(2(g)) + I_(2(g)) hArr 2HI_((g))in K_c = 57.0. At t time [H_2]_t = 0.1 M, [I_2]_t = 0.2 M and [HI]_t = 0.40. After t timereaction proceed in which direction ? |
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Answer» Solution :`{:("Equilibrium reaction :",H_(2(g)) + , I_(2(g)) HARR , 2HI_((g))),("Concentration at t time :",0.10 M, 0.02 M , 0.40 M):}` At t time the reaction quotient `Q_c`, `Q_c=[HI]^2/([H_2][I_2])=(0.4)^2/((0.1)(0.2))`=8.0 Thus, `Q_c`(8.0) `lt K_c` (57.0) The VALUE of `Q_c` is LESS, so reaction will proceed in the direction of the product (forward reaction) till the value of `Q_c` is EQUAL to `K_c` (57.0). The reaction is continue. |
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