An ideal gas, $\overline{\mathrm{C}}_{\mathrm{v}}=\frac{5}{2} \mathrm{R}$, is expanded adiabatically against a constant pressure of 1 atm untill it doubles in volume. If the initial temperature and pressure is $298 \mathrm{~K}$ and , respectively then the final temperature is _________ (nearest integer).

[$\overline{\mathrm{c}}_{\mathrm{v}}$ is the molar heat capacity at constant volume]

Among the following the number of state variables is ______________.

Internal energy (U)

Volume (V)

Heat (q)

Enthalpy (H)

For combustion of one mole of magnesium in an open container at 300 K and 1 bar pressure, $\Delta$_CH^$\Theta$ = $-$601.70 kJ mol^$-$1, the magnitude of change in internal energy for the reaction is __________ kJ. (Nearest integer)

The total number of intensive properties from the following is __________

Volume, Molar heat capacity, Molarity, $\mathrm{E}^{\theta}$ cell, Gibbs free energy change, Molar mass, Mole

Three moles of an ideal gas are compressed isothermally from $60 \mathrm{~L}$ to $20 \mathrm{~L}$ using constant pressure of $5 \mathrm{~atm}$. Heat exchange for the compression is - _________ Lit. atm.

While performing a thermodynamics experiment, a student made the following observations.

HCl + NaOH $\to$ NaCl + H₂O $\Delta$H = $-$57.3 kJ mol^$-$1

A gas (Molar mass = 280 $\mathrm{~g} \mathrm{~mol}^{-1}$) was burnt in excess $\mathrm{O}_{2}$ in a constant volume calorimeter and during combustion the temperature of calorimeter increased from to . If the heat capacity of calorimeter is and enthalpy of combustion of gas is then amount of gas burnt is _____________ g. (Nearest Integer)

$\Delta_{\text {vap }} \mathrm{H}^{\ominus}$ for water is at 1 bar and . Change in internal energy for this vapourisation under same condition is ________ . (Integer answer) (Given )

2.2 g 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 217.1 mL to 167.75 mL. The change in internal 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. Molar heat capacity of NO is 100 J K mol)

4.0 L of an ideal gas is allowed to expand isothermally into vacuum until the total volume is 2.0 L. The amount of heat absorbed in this expansion is ____________ L atm.

A fish swimming in water body when taken out from the water body is covered with a film of water of weight 36 g. When it is subjected to cooking at 100$^\circ$C, then the internal energy for vaporization in kJ mol^$-$1 is ___________. [nearest integer]

[Assume steam to be an ideal gas. Given ; R = 8.31 J K mol]

When a $60 \mathrm{~W}$ electric heater is immersed in a gas for 100 s in a constant volume container with adiabatic walls, the temperature of the gas rises by $5^{\circ} \mathrm{C}$. The heat capacity of the given gas is ___________ (Nearest integer)

The molar heat capacity for an ideal gas at constant pressure is $20.785 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$. The change in internal energy is upon heating it from to . The number of moles of the gas at constant volume is ____________. [Nearest integer] (Given: )

Consider the following reaction at $298 \mathrm{~K} \cdot \frac{3}{2} \mathrm{O}_{2(g)} \rightleftharpoons \mathrm{O}_{3(g)} \cdot \mathrm{K}_{\mathrm{P}}=2.47 \times 10^{-29}$. for the reaction is _________ . (Given )