This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 30801. |
The freezing point of a solution containing 0.2 g of acetic acid in 20.0 g of benzeneis lowered by 0.45^@C . Calculate the degree of association of acetic acid in benzene. K_f(C_6H_6) = 5.12 K "mol"^(-1) kg |
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Answer» SOLUTION :ACETIC ACID EXISTS as DIMER in benzene 0.9453 |
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| 30802. |
The freezing point of solution containing 0.2 g of acetic acid in 20.0 g of benzene is lowered by 0.45^(@)C. Calculate the degree of association of acetic acid in benzene. (K_(f)=5.12 K^(@) mol^(-1) kg^(-1)) |
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Answer» `M_(B)=(K_(F)xxW_(B))/(DeltaT_(f)xxW_(A)), W_(A)=0.2 g, W_(A)=0.02 kg, DeltaT_(f)=0.45^(@)C=0.45 K` `K_(f)=5.12" K kg mol"^(-1), M_(B)=((5.12" K kg mol"^(-1))xx(0.2 g))/((0.45 K)xx(0.2 kg ))=113.8" g mol"^(-1)` Step II. Calculation of Van't Hoff factor (i) `i=("Normal molar mass")/("Observed molar mass")=(60" g mol"^(-1))/((113.8" g mol"^(-1)))=0.527` `"Step III. Calculation of DEGREE of ASSOCIATION "(alpha)` `"For association "alpha=(i-1)/(1/n-1)=(0.527-1)/(1/2-1)=((-0.473))/((-0.50))=0.946= 0.946xx100=94.6%` |
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| 30803. |
The freezing point of a 1.00 m aqueous solution ofHF is found to be -1.91 ^(@)C. The freezing point constant of water, K1is 1 .86 K kg mol^(-1) The percentage dissociation ofHF at this concentration is |
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Answer» `30%` `I = (Delta T_(f))/(K _(f) xxm ) = (1.91)/(1.86xx1) =1.02` For `HI HARR H ^(+) + I ^(-)` `1- alpha + alpha + alpha =i= 1.027` `1+ alpha =1.02` `alpha = 0.02 or 2.7%` |
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| 30804. |
The freezing point of a solution containing 0.2 g of acetic acid in 20.0 g benzene is lowered by 0.45^@C. The degree of association of acetic acid in benzene is (Assume acetic acid dimerises in benzene and K_f for benzene = 5.12 K kg "mol"^(-1) ) ? |
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Answer» `94.6%` `DeltaT_f = (1000xxK_fxxw_2)/(w_1xxM) rArr 0.45=(1000xx5.12xx0.2)/(20xxM)` `THEREFORE M_"(observed)"`=113.78 (ACETIC acid ) As acetic acid dimerises in benzene , so, `{:(,2CH_3COOH hArr, (CH_3COOH)_2),("Before association",1,0),("After association", 1-alpha,alpha//2):}` (where `alpha` is degree of association) Molecular weight of acetic acid =60 `i="Normal molecular mass"/"Observed molecular mass"` `therefore M_"(normal)"/M_"(observed)"=1-alpha + alpha/2` `60/113.78 = 1-alpha + alpha/2 therefore alpha` = 0.946 or 94.6% |
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| 30805. |
The freezing point of a 0.08 molal solution of NaHSO^(4) is -0.372^(@)C. Calculate the dissociation constant for the reaction. K_(f) for water =1.86 K m^(-1) |
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Answer» 0.04 |
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| 30806. |
The freezing point of a 0.01 M aqueous glucose solution at 1 atmosphere is -0.18^(@)C. To it, an addition of equal volume of 0.002 M glucose solution will , produced a solution with freezingpoint of nearly |
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Answer» `-0.036^(@)C` |
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| 30807. |
The freezing point of 5% W/W solution of sucrose is 271 K. The freezing point of pure water is 273.15 K. What will be the freezing point of 5% W/W Glucose solution ? |
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Answer» 271.2 K `2.15=(1000xx5)/(95xx342)xx K_(f)` `K_(f)=13.9707` `Delta T_(f)=(13.97xx1000xx5)/(95xx180)` `=4.084=269.07 K` |
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| 30808. |
The freezing point of a 0.05 molal solution of a non-eletrolyte in water is ( K_(f)=1.86Km^(-1)) |
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Answer» `-1.86^(@)C` FREEZING POINT `=0-0.093= - 0.093^(@)C` |
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| 30809. |
The freezing point of a 0.05 m BaCl_(2) in water ( 100% ionisation) is about (K_(f)=1.86 Km^(-1)) : |
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Answer» `-0.279^(@)C` `DeltaT_(F)=iK_(f) xx m` `DeltaT_(f)=3xx1.86 xx 0.05=0.279^(@)C` |
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| 30810. |
The freezing point of 1 molar NaCl solution assuming NaCl to be 100% dissociated in water is: (K_f = 1.86 K molality^-1) |
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Answer» `-1.86^@C` |
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| 30811. |
The freezing point of 1 molal CaCl_(2) aq. Solution is -3.62^(@)C, (K_(f)=1.86 unit). The percentage ionisation of CaCl_(2) is |
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Answer» `94.6%` |
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| 30812. |
The freezing point of 1% aqueous solution of calcium nitrate will be: |
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Answer» `0^@C` |
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| 30813. |
The freezing point of 0.1 M solution of glucose is -1.86^(@) C. If an equal volume of 0.3 M glucose solution is added, the freezing point of the mixture will be (assume M=m). |
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Answer» `-7.44^(@)` C |
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| 30814. |
The freezing point of 0.2 molal solution of acetic acid in benzene is 277.65 . Freezing point of pure benzene is 278.4 K and heat of fusion of benzene is 10.04 Kj//"mol". If molarity of solution is equal tomolality , and acetic acid is found in equilibrium with its dimmer, then answer the following based on this data The degree of association of acetic acid should be |
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Answer» `3 KXX "molality"^(-1)` |
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| 30815. |
The freezing point of 0.08m NaHSO_(4) is -0.345^(@)C. Calculate the percentage of HSO_(4)^(-1) that transfer a proton to water to form SO_(4)^(-2) ion. K_(f) of H_(2)O=1.86 k "mol"^(-1)kg. |
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Answer» Solution :`NaHSO_(4)+H_(2)O(aq)toNa^(+)+H_(3)O^(+)+SO_(4)^(2-)` `t=0"" 1""0""0""0` `"at eq. " ""1-ALPHA""alpha""alpha""alpha` `i=(1+2 alpha)/1` `DeltaT_(f)=ixxK_(f)xxm` `0.345=(1+2alpha)xx1.86xx0.08` So `alpha=0.6591` % dissociation `=65.92%` |
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| 30816. |
The freezing point of 0.08 molal aq NaHSO_(4) solution is -0.372. Calculate alpha (degree of dessociation) of HSO_(4)^(-) given alpha (degree of dissociation) of NaHSO_(4) is 100% & K_(f) for H_(2)O=1.86 (K)/(m). Give answer after multiplying by 10. |
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Answer» |
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| 30817. |
The freezing point of 0.01 M KCl solution is -2^(@)C. If BaCl_(2) is completely ionized, what is the freezing point of 0.01 M BaCl_(2) solution ? |
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Answer» `-3^(@)C` `2=K_(f)xx0.01xx2` `K_(f)=100^(@)C"kgmol"^(-1)` `Delta T_(f)=K_(f)xx m xx i` `=100xx0.01xx3` `= 3^(@)C` `T_(f)=-3^(@)C` |
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| 30818. |
The freezing point of 0.05 m solution of glucose in water is (K_f = 1.86°C m^(-1)) |
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Answer» 0.093°C |
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| 30819. |
The freezing point (in .^(@)C) of a solution containing 0.1 g of K_(3)[Fe(CN)_(6)] (Mol. Wt. 329) in 100 g of water (K_(f)=1.86 "K Kg mol"^(-1)) is |
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Answer» `-2.3xx10^(-2)` `=4xx1.86xx(0.1)/(329xx0.1)=2.3xx10^(-2)` `rArr T_(f)=0-2.3xx10^(-2)=-2.3xx10^(-2) .^(@)C`. `rArr V = 6 ML`. |
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| 30820. |
The freezing point (in .^(@)C) of a solution containing 0.1 g of K_(3)[Fe(CN)_(6)[ (Mol. Wt. 329) in 100 g of water (K_(f)="1.86 K kg mol"^(-1)) is |
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Answer» `-2.3xx10^(-2)` `therefore I = 4` `DeltaT_(F)=iK_(f)m=ixxK_(f)xx(w_(2))/(M)xx(1)/(w_(1))xx1000` `=4xx1.86xx(0.1)/(329)xx(1)/(100)xx1000` `=0.023 = 2.3xx10^(-2).^(@)C or K` `T_(f)=0-2.3xx10^(-2).^(@)C=-2.3xx10^(-2).^(@)C` |
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| 30821. |
Calculate the depression in the freezing point of a solution containing 0.1 g of K_(3)[Fe(CN)_(6)] in 100 g of H_(2)O ? (molecular weigth of K_(3)[Fe(CN)_(6)]=329, K_(f)=1.86K " kg mol"^(-1)) |
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Answer» `-2.72xx^(-2)` |
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| 30822. |
The freezing point depression of 0.1 molal solution acid in benzene is 0.256 K. For benzene K_(f) is 5.12 K kg mol^(-1) Calculate the value of Van't Hoff factor for enzoic acid in benzene. What conclusion can you drow about the molecular state of benzonic acid in cenzene ? |
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Answer» `"Freezing point depression "(DeltaT_(f))=ixxK_(f)xxm` `DeltaT_(f)=0.256 K, K_(f)=5.12" K kg mol"^(-1),m=0.1m=(0.1" mol kg"^(-1))` `i=(DeltaT_(f))/(K_(f)xxm)=((0.256 K))/((5.12" K kg mol"^(-1))xx(0.1"mol"^(-1)kg))=0.5` Step II. Predicting the MOLECULAR state of benzoic acid. `i=("Normal MOLAR mass")/(Observed molar mass")=0.=1/2.` This shows that the observed molar mass of benzoni acid is double the normal molar mass or benzoic axists as a dimer in benzene. |
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| 30823. |
The freezing point depression of 0.1 molal solution of acetic acid in benzene is 0.256 K , K_(f) for benzene is 5.12 K Kg mol^(-1). What conclusion can you draw about the molecular state of acetic acid in benzence ? |
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Answer» Acetic acid is DOUBLY ASSOCIATED |
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| 30824. |
The freezing point depression of 0.1 m NaCl solution is 0.372^(@)C. What conclusion would you draw about its molecular state ? K_(f) for water is "1.86 K kg mol"^(-1). |
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Answer» As `DeltaT_(f)"(obs.)" gt DeltaT_(f)"(cal.)"` this MEANS NaCl is dissociated in solution. `"Further,i"=(DeltaT_(f)"(obs.)")/(DeltaT_(f)"(cal.)")=(0.372)/(0.186)=2."Buti"=("No. of particles after dissociation")/("No. of molecules taken")` This means that each NaCl MOLECULE ionizes to give two particles, i.e., `Na^(+) and Cl^(-)` ions as follows: `NaCl overset(+AQ)rarrNa^(+)+Cl^(-)` |
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| 30825. |
The freezing point depression constant for water is -1.86cm^(-1). If "5.00 g "Na_(2)SO_(4) is dissolved in "45.0 g "H_(2)O, the freezing point is changed by -3.82^(@)C. Calculate the van't Hoff factor for Na_(2)SO_(4) |
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Answer» 0.381 `3.82=ixx1.86xx(5)/(142)xx(1)/(45)xx1000` `""("Molar mass of "Na_(2)SO_(4)=142)` `"or"i=2.62` |
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| 30826. |
The freezing point depression of 0.1 m NaCI solution is 0.372^(@)C. What conlusion would you draw about the state in aqueous soluion ? (K_(f) "for water"=1.86 "K kg mol"^(-1)). |
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Answer» `"FREEZING point DEPRESSION"(DeltaT_(f))=ixxK_(f)xxm` `DeltaT_(f)=0.372^(@)C or 0.372 K, K_(f)=1.86" K kg MOL"^(-1), m=0.1" m"or 0.1" mol kg"^(-1)` `i=(DeltaT_(f))/(K_(f)xxm)=((0.372 K))/((1.86" K kg mol"^(-1))xx(0.1" mol"^(-1)kg))=2.` Step II.`"Calculation of degree of DISSOCIATION"(alpah).` `NaCI to Na^(+)+CI^(-)` `therefore""alpha=(i-1)/(n-1)=(2-1)/(2-1)1.` `"Thus, degree of dissociation of "alpha=1 "or it is 100% dissociated in dqueous soltion.` |
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| 30827. |
The freezing point depression of 0.1 M molal solution of acetic acid in benzene is 0.256 K. K_(f) for benzene is "5.12 K kg mol"^(-1). What conclusion can you draw about the molecular state of acetic acid in benzene? |
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Answer» Solution :Here, we are given `m="0.1 mol kg"^(-1),""K_(f)="5.12 K kg mol"^(-1)` `therefore"Theroretically calculated value of "DeltaT_(f)" will be "DeltaT_(f)=K_(f) xx m ="5.12 K kg mol"^(-1)xx"0.1 mol kg"^(-1)=0.512K` Observed (experimental) value of `DeltaT_(f)=0.256K` (Given) Thus, the observed value is HALF of the theoretical value. Since the observed value depends upon the number of particles actually present, this menas that the number of particles actually present in half of the theoretical value. In other words, the molecules of acetic acid are DOUBLY associated in benzene, i.e., they exist as dimers, `(CH_(3)COOH)_(2)`. Alternatively, van't HOFF factor, `i=("Observed colligative property")/("Calculated colligative property")=(0.256)/(0.512)=(1)/(2)` `"Also,i"=("Calculated mol. mass")/("Observed mol. mass")""therefore"Observed mol. mass "=("Calculated mol. mass")/("i")` But calculated molar mass of `CH_(3)COOH="60 g mol"^(-1) ""therefore"Observed molar mass "=(60)/(1//2)="120 g mol"^(-1)` Thus, the observed molar mass is double of the theoretical value. Hence, acetic acid EXISTS as doubly associated, i.e., as `(CH_(3)COOH)_(2)`. |
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| 30828. |
The freezing point depression constant for water is -1.86^@C m^(-1). If 5.00g Na_2SO_4 is dissolved in 45.0 g H_2O the freezing point is changed by -3.82^@C, calculate the van't Hoff factor for Na_2SO_4. |
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Answer» 0.381 |
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| 30829. |
The freezing point depression constant for water is- 1.86 cm^(-1) . If 5.00 g Na_2SO_4is dissolved in 45.0 g H_2O , the freezing point is changed by-3.82^@C . Calculate the van't Hoff factor for Na_2SO_4 . |
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Answer» 2.05 |
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| 30830. |
the freeof burning liquidparaaffincannotbeextingushed by throwingoverthisExpainby givingreaason . |
| Answer» SOLUTION :Theliquidparaffinis ligtherthanwater.itflowsoverwatersurfaceandcontinues BURNING . | |
| 30831. |
The free energy profile for the transformation of A into G is shown below: What is the least stable transition state: |
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Answer» E |
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| 30832. |
The free energy of formation of NO is 78 kJ mol^(-1) at the temperature of an automobile engine (1000 K). What is the equilibrium constant for this reaction at 1000 K (1)/(2)N_(2)(g)+(1)/(2)O_(2)(g)iffNO(g) |
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Answer» `8.4xx10^(-5)` |
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| 30833. |
The free energy for a reaction having DeltaH=31400 cal. DeltaS=32 cal K^(-1)mol^(-1) at 1000^(@)C is |
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Answer» `-9336` CAL `=31400-40736=-9336` cal. |
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| 30834. |
The free energy profile for the transformation of A into G is shown below: The slowest step in the forward direction: |
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Answer» A to C |
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| 30835. |
The free energy for a reaction having DeltaH=31400cal,DeltaS=32" cal "K^(-1)mol^(-1) at 1000^(@)C is |
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Answer» `-9336cal` `DeltaG=DeltaH-T*DeltaS=31400-1273xx32` `=31400-40736=-9336cal` |
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| 30836. |
The free energy for a recersible reaction at equlibrium is |
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Answer» NEGATIVE |
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| 30837. |
The free energy change of a reaction is zero when: |
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Answer» The REACTANTS are INITIALLY MIXED |
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| 30838. |
The free energy change for the following reactions are given below C_(2)H_(5)(g)+5/2 O_(2)(g) to 2CO_(2)(g)+H__(2)O (I), triangleG^(@)=-1234kJ C(s)+O_(2)(g) to CO_(2) (g), triangleG^(@)=-384kJ H_(2)(g)+1/2O_(2)(g) to H_(2)O(l), triangleG^(@)=-237kJ What is the standard free energy change for the reaction |
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Answer» `-208 KJ` |
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| 30839. |
The free energy change for the following reactions are given below, C_(2)H_(2)(g)+(5)/(2)O_(2)(g)rarr2CO_(2)(g)+H_(2)O(l),DeltaG^(@)=-1234 kJC(s)+O_(2)(g)rarrCO_(2)(g)DeltaG^(@)=-394 kJH_(2)(g)+(1)/(2)O_(2)(g)rarrH_(2)O(l)DeltaG^(@)=-237 kJWhat is the standard free energy change for the reaction H_(2)(g)+2C(s)rarrC_(2)H_(2)(g) |
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Answer» `-209 kJ` `H_(2(g))+2C_((s))rarrC_(2)H_(2(g)), DeltaG^(@)=209 kJ`. |
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| 30840. |
The free energy change for the following reaction are given below: C_(2)H_(2)(g)+(5)/(2)O_(2)(g) to 2CO_(2)(g)+H_(2)O(l),DeltaG^(@)=-1234J C(s)+O_(2)(g)toCO_(2)(g),DeltaG^(@)=-394kJ H_(2)(g)+(1)/(2)O_(2)(g)toH_(2)O(l),DeltaG^(@)=-237kJ what is the standard free energy change for the reaction? H_(2)(g)+2C(s)toC_(2)H_(2)(g) |
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Answer» `-209kJ` `C(s)+O_(2)(g) to CO_(2)(g),DeltaG^(@)=-394KJ` . . (ii) `H_(2)(g)+(1)/(2)O_(2)(g) to H_(2)O(l),DeltaG^(@)=-237kJ` . . (iii) EQS. (ii)+(iii)-(i). `2C(s)+H_(2)(g)toC_(2)H_(2)(g)` `DeltaG^(@)=2(-394)+(-237)-(-1234)=209kJ`. |
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| 30841. |
The free energy change for a reversible reaction at equilibrium |
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Answer» Large POSITIVE |
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| 30842. |
The free energy change for a reversible reaction at equilibrium is: |
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Answer» Zero |
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| 30843. |
Thefree energiesof formation( Delta_fG )of MgO(s) and CO(g) at1273 Kand2273 Krepectivelyare givenbelow :Delta _f[ Mg O (s)] =-941 kJ mol^(-1)at1273 KDelta_fG [MgO (s)] =- 314 kJ mol ^(-1)at 2273 KDelta _fG [CO (g) ] =-439 kJ mol ^(-1)at1273 KDelta _fG [CO (g)]=-628 kJmol^(-1) at2273 KOnthebasis of abovepredictthe temperature at which carboncan beusedas areducingagentforMgO(s). |
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Answer» Solution :The EQUATIONFOR reductionofMgO by carbon MAYBE writtenas `MgO (s)+C (s)to M g O (s)+CO (g) ` Thefreeenergy`(Delta _ R G ) `oftheabove reaction attwodifferenttemperaturemay becalculatedas follows : ` ""Delta _ rG=Delta_f G [CO (g) ] - Delta _fG [MgO (s)] ` At 1273 K,`"" Delta _ rG=-439 -(-941) = +502 kJ mol ^(-1) ` At2273 K,` "" Delta_rG =-623-(-314) =-314 kJ mol^(-1) ` Since ` Delta_r G `is- veat2273 K,therefore , carboncan be usedasareducing AGENT forMgOat2273K. |
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| 30844. |
The free energy change for a reaction is zero when |
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Answer» The reactants are INITIALLY mixed |
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| 30846. |
The free energy change Delta G = 0, when |
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Answer» the system is at equilibrium |
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| 30847. |
The fragrance of flowers is due to the presence of some steam volatile organic compounds called essential oils. These are generally insoluble in water at room temperature but are miscible with water vapour in vapour phase. A suitable method for the extraction of these oils from the flowers is |
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Answer» Distillation |
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| 30848. |
The fraction of total volume occupies by the atoms present in a simple cube is |
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Answer» `( pi )/(3 sqrt( 2))` `= ( " Volume of one sphere ")/( "Volume of cubic unit cell")` Edge LENGTH `a=2r` or `r = a//2 ` `:.` Packing fraction `= (((4)/(3) pi (a)/(2))^(3))/(a^(3)) = ( pi )/( 6)` |
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| 30849. |
The fraction of total volume occupied by the atoms in a simple cubic is …………….. . |
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Answer» `((PI)/(4sqrt2))` |
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| 30850. |
The fraction of total volume occupied by the atoms present in a simple cube is |
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Answer» `(pi)/(6)` For SIMPLE unit `a=2r=((4)/(3)pir^(3))/(8r^(3))=(4pi)/(24)=(pi)/(6)` |
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