GATE CY format:nat PYQs & Answers — Page 6

Questions 51–60 of 166. Imported answers require independent review unless marked reviewed.

Topic practice 166 questionsPage 6 of 17

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)

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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)

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A solution of three non-interacting compounds P, Q, and R is taken in a cuvette of 1 cm path length. Their concentrations are [P] = 1×10⁻⁶ M, [Q] = 2×10⁻⁶ M, [R] = 3×10⁻⁶ M and the molar extinction coefficients at 300 nm are εₚ = 1×10⁵ M⁻¹ cm⁻¹, εQ = 2×10⁵ M⁻¹ cm⁻¹ and εR = 3×10⁵ M⁻¹ cm⁻¹. The % transmittance at 300 nm is ______ (rounded off to two decimal places)

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The number of peaks exhibited by T in its broadband proton decoupled

NMR spectrum recorded at 25 °C in CDCl₃ is

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The diffraction angle (in degree rounded off to one decimal place) of (321) sets of plane of a metal with atomic radius 0.125 nm, and adopting BC structure is

(Given: the order of reflection is 1 and the wavelength of X-ray is 0.071 nm)

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For the angular momentum operator

and the spherical harmonics

The value of

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The difference between the number of gauche-butane interactions present in P and Q is

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The calculated magnetic moment (in BM, rounded off to two decimal places) of a Ce

complex is

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The state of the electron in a He

ion is described by the following normalized wavefunction,

. Here,

and

represent the radial and angular components of the eigenfunctions of He

ion, respectively, and

is an unknown constant. If the energy of the ion is measured in the above state, the probability (rounded off to two decimal places) of obtaining the energy of

atom unit is

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A certain wavefunction for the hydrogen-like atom is given by

. The number of node(s) in this wavefunction is

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GATE CY format:nat PYQs

Question 63

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Question 65

Question 33

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Question 35

Question 57

Question 58

Question 59

Question 60