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Thermodynamics Test - 23

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Thermodynamics Test - 23
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  • Question 1
    1 / -0

    Direction (Q. Nos. 1-11) This section contains 11 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE option is correct.

    Q. Calorific value of H2 is - 143 kJ g-1.Thus, ΔfH° of H2O is

    Solution

    Calorific value is given for 1 gram and enthalpy of formation is defined for one mole of substance formed so for one mole of water formed we need two gram of hydrogen so the enthalpy of formation of H2O will be 2×Calorific value. Or 2×(-143) = -286 kJ/ mol

  • Question 2
    1 / -0

    In the complete combustion of C2H6, 54 g of H2O is formed and 370 kcal of heat is evolved. Thus, ΔCH° of C2H6 is

    Solution

    54 gram of water is formed or three moles of water is formed.
    C2H6 + (7/2)O2 → 2CO2 + 3H2O
    So it indicates that only one mole of C2H6 is used in the combustion so the heat released is itself the value of heat of combustion of Ethane.

  • Question 3
    1 / -0

    The enthalpy of combustion of methane, graphite and dihydrogen at 298 K are - 890.3 kJ mol-1, - 393.5 kJ mol-1 and - 285.8 kJ mol-1 respectively. Enthalpy of formation of CH4(g) will be

    Solution


  • Question 4
    1 / -0

    The reaction of cyanamide, NH2CN (s) was carried out in a bomb calorimeter, and ΔU was found to be - 742.7 kJ mol-1 at 298 K. Thus, ΔrH° at 298 K for

    Solution

    We know, from first law of thermodynamics,
    enthalpy change{∆H} = ∆U{internal energy} + ∆ngRT
    Where,
    ∆ng = no of mole of gaseous products - no of mole of gaseous reactant
    So the reaction follows :
    NH2CN(s) +(3/2)O2(g) → N2(g)+CO2(g)
    ∆ng = np - nr
    = (1 + 1) - 3/2 = 1/2 mol
    = 0.5 mol
    Now, ∆H = ∆U + ∆ngRT
    = -742.7 KJ +(0.5mol × 8.314 J/mol/K × 298K)
    = -742 KJ + 1238.786 J
    = -742 KJ + 1.238786 KJ
    = -741.46 KJ
    Hence, enthalpy change for the reaction is 741.46 KJ for combustion of 1 mole of NH2CN.

  • Question 5
    1 / -0

    Based on the following thermochemical reactions at 298 K and 1 bar

    Q. Enthalpy of vaporisation of H2O (l) is 

    Solution

    Enthalpy of vaporization is defined for a substance when one mole of the substance is converted into the gaseous state. To obtain the enthalpy of vaporization of H2O liquid we will add reaction 1 and reaction 2 and then divide the enthalpy of x to since we need to calculate the enthalpy of vaporization for single mole of H2O

  • Question 6
    1 / -0

    For the following combustion reaction of benzoic acid at 298 K

    Q. Thus enthalpy of combustion ΔCH° at 298 K is

  • Question 7
    1 / -0

    The standard enthalpies of formation of CO2(g), H2O (l) and glucose (s) at 25°C are - 400 kJ mol-1, - 300 kJ mol-1 and - 1300 kJ mol-1 respectively. The standard enthalpy of combustion per gram of glucose at 25°C is

    [JEE Advanced 2013]

    Solution

  • Question 8
    1 / -0

    For the complete combustion of ethanol,

    the amount of heat produced as measured in bomb calorimeter is 1364.47 kJ mol-1 at 25°C. Assuming ideality, the enthalpy of combustion, ΔCH° for the reaction Will be (R = 8.314 JK-1 mol-1)

    [JEE Main 2014]

    Solution

    ∆H = ∆E + ∆ngRT
    ∆E = -1364.47 kJ mol-1 and T = 298 K
    ∆ng = 2-3 = -1
    ∆H = -1364.47 -1(8.314)289/1000 = -1366.95 kJ mol-1

  • Question 9
    1 / -0

    Given, 

    Q. Thus, ΔfH° of (C6H6) (l) is

    Solution

    C6H6(l) + 15/2O2(g) → 6CO2(g) + 3H2O(l)
    ∆Hr = (∆Hc)C6H6 ⇒-3261  = ∑Hproduct - ∑Hreactant = 6(-393.5) -3(-283.83) - ∆fHC6H6
    ∆Hf = 48 kJ mol-1

  • Question 10
    1 / -0

    ΔfU° of formation of CH4(g) at a certain temperature is - 393 kJ mol-1. The value of ΔfH° is

    Solution

    The balanced equation for combustion of methane is:
    CH4(g)+2O2(g)→CO2(g)+2H2O(l)Here, Δng=1−3=−2
    ΔH0=ΔU0+ΔngRT
    ΔH=−393−2RT
    ∴ΔH0<ΔU0

  • Question 11
    1 / -0

    Heat of combustion of H2(g) is - 58 kcal mol-1 at 298 K and constant pressure.

    Q. Temperature of a hydrogen-oxygen flame if H2(g) is used as fuel is 

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