GATE CY 2020 Question Paper (01-Feb-2020) (Shift 2)

Assuming no interaction between vibrational and rotational energy levels in HF, the frequency (in cm⁻¹, rounded off to the nearest integer) of the R branch line originating from J = 4 in its IR spectrum is ______

(Given: Rotational constant for HF = 19.35 cm⁻¹v̅₀ = 4138.52 cm⁻¹)

The van der Waals constants a and b for gaseous CO are given as 1.49 L² atm mol⁻² and 0.0399 L mol⁻¹, respectively. The fugacity (in atm, rounded off to two decimal places) of CO at 35 °C and 95 atm is ______

(Given R = 0.082 L atm K⁻¹ mol⁻¹)

At 30 °C, the vapor pressure and density of a 1.0 M aqueous solution of sucrose are 31.207 mm Hg and 1.1256 g/mL, respectively. If the vapor pressure of pure water at 30 °C is 31.824 mm Hg, the activity coefficient (rounded off to three decimal places) of water in the given solution is ______

(Given: The molar mass of sucrose = 342.3 g mol⁻¹)

For the ring opening reaction of cyclopropane to propene at 25 °C, the pre-exponential factor is 4.3 × 10¹⁵ s⁻¹. The entropy of activation (in J K⁻¹ mol⁻¹, rounded off to two decimal places) is ______

(Given: h = 6.626 × 10⁻³⁴ J s; KB = 1.38 × 10⁻²³ J K⁻¹; R = 8.314 J K⁻¹ mol⁻¹)

In a reaction, reactant X is converted to products Y and Z consecutively with rate constants 6.0 × 10⁻² min⁻² and 9.0 × 10⁻³ min⁻¹, respectively. If the initial amount of X is 12.5 moles, the number of moles (rounded off to one decimal place) of Y formed after 10 minutes is ______