GATE CY topic:equilibrium PYQs & Answers — Page 3

Questions 21–30 of 68. Imported answers require independent review unless marked reviewed.

The following figure shows an experimental liquid-liquid phase diagram of phenol and water at the vapor pressure of the system. The total amount of phenol and water (in mol) present in the phenol-rich phase when 5 mol of water was shaken with 5 mol of phenol at 40 °C is ____.

(rounded off to one decimal place)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For an ideal gas, the molecular partition function in the canonical ensemble, that is proportional to the system volume (V), is the

Your answerChoose one option.

vibrational partition function

rotational partition function

electronic partition function

translational partition function

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Two-component solid-liquid system of naphthalene-benzene forms a simple eutectic mixture. Assuming that naphthalene-benzene forms an ideal solution, the mole fraction of naphthalene in benzene at 300 K and 1 bar is ______ (rounded off to two decimal places)

(Given: Freezing point (T₍fp₎) and enthalpy of fusion (ΔH₍fus₎) of naphthalene are 353 K and 19.28 kJ mol⁻¹, respectively and gas constant (R) = 8.31 J K⁻¹ mol⁻¹)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

According to Debye-Hückel limiting law, the mean molal activity coefficient for 0.87 g K₂SO₄ (molar mass = 174 g mol⁻¹) in 1 kg of water at 25 °C is ______ (rounded off to two decimal places)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A solution is prepared by dissolving 128 g of naphthalene (C₁₀H₈) in 780 g of benzene (C₆H₆). The vapor pressure of pure benzene is 12.6 kPa at 25 °C. Assuming that naphthalene in benzene is an ideal solution, the partial vapor pressure of benzene is ______ kPa (rounded off to two decimal places)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For the galvanic cell: H₂ (g) | HCl (aq) | Cl₂ (g)

the standard electromotive force (E⁰) value is given by

where E⁰ is in Volts and T is in Kelvin.

For the cell reaction, the standard enthalpy change (ΔᵣH⁰) at 300 K is ______ kJ mol⁻¹ (rounded off to the nearest integer)

(Given: Faraday constant, F = 96500 C mol⁻¹)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The CORRECT statement(s) about the following phase diagram for a hypothetical pure substance X is(are)

Your answerSelect all correct options. You can choose more than one.

The molar volume of solid X is less than the molar volume of liquid X

X does not have a normal boiling point

The melting point of X decreases with increase in pressure

On increasing the pressure of the gas isothermally, it is impossible to reach solid phase before reaching liquid phase

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The parameter(s) fixed for each system in canonical ensemble is(are)

Your answerSelect all correct options. You can choose more than one.

temperature

pressure

volume

composition

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

EMF of the following cell

at 25 °C and 1 bar is 0.36 V. The value of the mean activity coefficient (rounded off to three decimal places) of CuSO

at 25 °C and 1 bar is [Given: Standard electrode potential values at 25 °C for

and

are 0.34 V and 0.62 V, respectively. Consider: RT/F at 25 °C = 0.0256 V]

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In a collection of molecules, each molecule has two non-degenerate energy levels that are separated by 500 cm

. On measuring the population at a particular temperature, it was found that the ground state population is 10 times that of the upper state. The temperature (in K, rounded off to the nearest integer) of measurement is [Given: Value of the Boltzmann constant = 0.695 cm

]

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE CY topic:equilibrium PYQs

Question 65

Question 29

Question 60

Question 62

Question 63

Question 64

Question 31

Question 32

Question 61

Question 64