Ideal Gas Equation

Concept: Chemistry (States of Matter) - Ideal Gas Law.

Step 1: Identify the given parameters and their units. Number of moles ( ) = 2 mol. Volume ( ) = (which is equivalent to 20 Liters). Pressure ( ) = . Universal Gas Constant ( ) = .

Step 2: State the Ideal Gas Equation. The behavior of an ideal gas is described by the equation , where is the absolute temperature measured in Kelvin ( ).

Step 3: Rearrange the formula to solve for Temperature ( ). To find the temperature, isolate on one side of the equation: .

Step 4: Substitute the values and calculate the temperature in Kelvin. Plug the given values into the rearranged equation: . First, calculate the numerator: . Next, calculate the denominator: . Now, divide the numerator by the denominator: .

Step 5: Convert the temperature from Kelvin to degrees Celsius. The question specifically asks for the temperature in degrees Celsius ( ). The relationship between Kelvin and Celsius is (often approximated as 273 for simpler calculations). . $ $

In a BCC structure, the atoms at the corners are in contact with the atom at the center. The relationship between the atomic radius and the edge length of the unit cell for a BCC structure is given by: Thus, the atomic radius is .

The ideal gas law assumes that gas molecules do not interact with each other and that the volume of gas molecules is negligible. However, at high pressures and low temperatures, real gases deviate from ideal gas behavior due to intermolecular forces and the finite volume of gas molecules. Among the given gases, has stronger intermolecular forces (due to van der Waals forces) compared to , , and . Therefore, is most likely to deviate from ideal gas behavior under these conditions. Thus, the correct answer is .

The ideal gas law is a fundamental equation in thermodynamics that relates the pressure, volume, temperature, and amount of gas. The equation is given by: Where: - is the pressure, - is the volume, - is the number of moles of gas, - is the ideal gas constant, - is the temperature in Kelvin. This equation describes the behavior of ideal gases under various conditions of pressure, volume, and temperature. Thus, the correct equation is .

Concept: Vapour density (VD) is related to molar mass as: At STP, one mole of gas occupies L.

Step 1: Find molar mass of the gas.

Step 2: Find number of moles.

Step 3: Calculate volume at STP. Thus, the volume occupied is L.