Thermodynamics

The volume V of a given mass of monoatomic gas changes with temperature T according to the relation $V=k{T}^{\frac{2}{3}}.$ <!-- [if gte mso 9]><xml> </xml><![endif]--> The work done when temperature changes by 90 K will be xR. The value of x is…….

[R = universal gas constant]

The internal energy (U), pressure (P) and volume (V) of an ideal gas are related as U = 3PV + 4. The gas is:

The ionization enthalpy of Na⁺ formation from Na_(g) is 495.8 kJ mol^-1, while the electron gain enthalpy of Br is - 325.0 kJ mol^-1. Given the lattice enthalpy of NaBr is - 728.4 kJ mol^-1. The energy for the formation of NaBr ionic solid is (-) -------------- × 10^-1kJ mol^-1.

The reaction of cyanamide, NH₂CN_(s) with oxygen was run in a bomb calorimeter and $\Delta U$  was found to be -742.24 kJ mol^-1. The magnitude of $\Delta H_{298}$  for the reaction

            $N{H}_{2}C{N}_{\left(S\right)}+\frac{3}{2}{O}_{2\left(g\right)}\to N_{2\left(g\right)}+O_{2\left(g\right)}+H_2{O}_{\left(I\right)}is$ ------------- kJ. (Rounded off to the nearest integer)

[Assume ideal gases and R = 8.314 J mol^-1 K^-1]

A diatomic gas, having C_P $=\frac{7}{2}Rand{C}_V=\frac{5}{2}R,$  is heated at constant pressure. The ratio dU : dQ : dW :

2.2g of nitrous oxide (N₂O) gas is cooled at a constant pressure of 1 atm from 310 K to 270 K causing the compression of the gas from 217.1mL to 167.75mL. The change in thermal energy of the process, $\Delta U$  is ‘-x’ J. The value of ‘x’ is________. [Nearest Integer]

(Given : atomic mass of N = 14 g mol^-1 and of O = 16 g mol^-1.

Molar heat capacity of N₂O is 100 J K^-1 mol^-1)

Starting with the same initial conditions, an ideal gas expands form volume V₁ to V₂ in the three different ways. The work done by the gas in W₁ if the process is purely isothermal, W₂, if the process is purely adiabatic and W₃ if the process is purely isobaric. Then, choose the correct option

Starting with the same initial conditions, an ideal gas expands form volume V₁ to V₂ in the three different ways. The work done by the gas in W₁ if the process is purely isothermal, W₂, if the process is purely adiabatic and W₃ if the process is purely isobaric. Then, choose the correct option

An ideal gas undergoes a thermodynamic process in which internal energy $\left(U\right)$ of the gas depends on pressure $\left(P\right)$ of the gas as $=a{P}^4$  , where a is a positive   constant. Assuming gas to be monoatomic, the molar heat capacity of the gas for given process will be

The only INCORRECT information is