Thermodynamics

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Question
CBSEENCH11008456

A gas is allowed to expand in a well-insulated container against a constant external pressure of 2.5 atm from an initial volume of 2.50 L to a final volume of 4.50 L. The change in internal energy ΔU of the gas in joules will be

  • 1136.5 J

  • -500 J

  • -505 J

  • +505 J

Solution

C.

-505 J

ΔU = q + w
For adiabatic process, q = 0
∴ ΔU = w
= – P·ΔV
= –2.5 atm × (4.5 – 2.5) L
= –2.5 × 2 L-atm
= –5 × 101.3 J
= –506.5 J
= –505 J

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Question
CBSEENCH11008262

A reaction having equal energies of activation for forward and reverse reactions has

  • ΔS =0
  • ΔG =0
  • ΔH = 0
  • ΔH = ΔG=ΔS = 0

Solution

C.

ΔH = 0

Energy profile diagram for are reaction is as from the figure it is clear that
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(Ea)b = (Ea)f +ΔH
[Here (Ea)b = activation energy of backward reaction and (Ea)f = activation energy of forward reaction].
If (Ea)b = (Ea)b = (Ea)f
then ΔH = 0

Question
CBSEENCH11008437

Assume each reaction is carried out in an open container. For which reaction will ΔH = ΔE?

  • H2 (g) + Br2 (g) →2HBr (g)

  • C (s) + 2 H2O (g) → 2 H2 (g) + CO2 (g)

  • PCl5 (g) →PCl3 (g) + Cl2 (g) 

  • 2CO (g) + O2 (g) → 2 CO2 (g)

Solution

A.

H2 (g) + Br2 (g) →2HBr (g)

As we know that
 ΔH = ΔE + PΔV
ΔH = ΔE +ΔnRT ..(1)
where ΔH → change in enthalpy of the system (standard heat at constant pressure)
Δ E → change in internal energy of system (Standard heat at constant volume)
Δn → no. of gaseous moles of product - no. of gaseous moles of reactant
R → gas constant
T → absolute temperature
If Δ n = 0 for reactions which is carried out in an open container, therefore, Δn = 0 for reactions which are carried out in an open container, therefore, ΔH  =ΔE
so for reaction (1) Δn = 2-2 = 0
Hence, for reaction (1) , ΔH =ΔE 

Question
CBSEENCH11008339

Consider the following processes Δ H (kJ/mol)

1/2 A →                               +150
3B   → 2 C + D                     -125
E + A  → 2D                        +350

For  B + D   → E + 2C, ΔH will be 

  • 525 kJ/mol

  • -175 kJ/mol

  • -325 kJ /mol

  • 325 kJ/mol

Solution

B.

-175 kJ/mol

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Question
CBSEENCH11008430

Consider the following reactions:

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Enthalpy of formation of H2O (l) is:

  • - x2 kJ mol-1

  • + x3 kJ mol-1

  • - x4 kJ mol-1

  • + x1 kJ mol-1

Solution

A.

- x2 kJ mol-1

Enthalpy of formation: The amount of heat evolved or absorbed during the formation of 1 mole of a compound from its constituent elements is known as heat of formation. SO, the correct answer is:
straight H subscript 2 space left parenthesis straight g right parenthesis space space plus space 1 half space straight O subscript 2 space left parenthesis straight g right parenthesis thin space rightwards arrow space straight H subscript 2 straight O space left parenthesis straight l right parenthesis space semicolon increment straight H equals negative straight x subscript 2 space kJ space mol to the power of negative 1 end exponent

1