HARD
JEE Advanced
IMPORTANT
Earn 100

The standard state Gibb's free energies of formation of  C (graphite) and C (diamond) at T=298 K are

ΔfGoC (graphite=0 kJ mol-1

ΔfGoC diamond=2.9 kJ mol-1

The standard state means that the pressure should be 1 bar, and substance should be pure at a given temperature. The conversion of graphite [C (graphite)] to diamond [C (diamond)] reduces its volume by 2×10-6 m3 mol-1 . If C (graphite) is converted to C (diamond) isothermally at T=298 K, the pressure at which C (graphite) is in equilibrium with C (diamond), is

[Useful information: 1 J=1 kg m2 s-2, 1 Pa=1 kg m-1s-2; 1bar=105Pa]

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Important Questions on Thermodynamics

HARD
JEE Advanced
IMPORTANT
For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equilibrium constant K in terms of change in entropy is described by:
HARD
JEE Advanced
IMPORTANT
When 100 mL of 1.0 M HCl was mixed with 100 mL of 1.0 M NaOH in an insulated beaker at constant pressure, a temperature increase of 5.7oC was measured for the beaker and its contents (Expt.1). Because the enthalpy of neutralization of a strong acid with a strong base is a constant (-57.0 kJ mol-1) , this experiment could be used to measure the calorimeter constant. In a second experiment (Expt. 2), 100 mL of 2.0 M acetic acid (Ka=2.0×10-5) was mixed with 100 mL of 1.0 M NaOH (under identical conditions to Expt. 1) where a temperature rise of 5.6oC was measured. (Consider heat capacity of all solutions as 4.2 J g-1 K-1 and density of all solutions as 1.0 g mL-1 )

Enthalpy of dissociation (in kJ mol-1) of acetic acid obtained from the Expt. 2 is
MEDIUM
JEE Advanced
IMPORTANT
For the process H2O lH2Og  at T=100oC  and 1 atmosphere pressure, the correct choice is-
HARD
JEE Advanced
IMPORTANT
An ideal gas undergoes a reversible isothermal expansion from state I to state II followed by a reversible adiabatic expansion from state II to state III. The correct plot s representing the changes from state I to state III is(are)

(p: pressure, V: volume, T: temperature, H: enthalpy, S: entropy)

HARD
JEE Advanced
IMPORTANT
Choose the reaction(s) from the following options, for which the standard enthalpy of reaction is equal to the standard enthalpy of formation.
HARD
JEE Advanced
IMPORTANT
A reversible cyclic process for an ideal gas is shown below. Here, P, V, and T are pressure, volume and temperature, respectively. The thermodynamic parameters q, w, H and U are heat, work, enthalpy and internal energy, respectively.

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The correct option(s) is (are)
HARD
JEE Advanced
IMPORTANT
A closed tank has two compartments A and B, both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure1). If the old partition is replaced by a new partition which can slide and conduct heat but does not allow the gas to leak across (Figure 2), the volume (in m3) of the compartment A after the system attains equilibrium is 20x m3. Write the value of x.

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MEDIUM
JEE Advanced
IMPORTANT
An ideal gas is expanded from (p1 , V1 , T1) to (p2 , V2 , T2) under different conditions. The correct statement(s) among the following is(are)