This question was previously asked in

NDA (Held On: 9 Sept 2018) General Ability Test Previous Year paper

Option 3 : P’ = P/2

Electric charges and coulomb's law (Basic)

41133

10 Questions
10 Marks
10 Mins

__CONCEPT__:

- Ideal gas: It is a hypothetical gas, consisting of molecules that are having negligible volume and their collision is perfectly elastically (means no loss of energy) and obeys gas law.
- The properties of an ideal gas are:
- They are having negligible volume, point size molecules.
- There is no attractive or repulsive force between the particles of gas
- The collision between the gases and the walls of the container should be perfectly elastic (there is no loss of energy).

- The Equation of State is an equation that connects all the state variables of a system.

The Equation of State for an ideal gas is given by:

⇒ PV= μRT

Where μ is the number of moles of gas, Pressure(P), Temperature(T), and Volume(V) is the state variables, R is the gas constant.

__EXPLANATION__:

- Both Ar and CO
_{2 }are ideal gases. So we will apply the**ideal gas equation.** **For Ar –**the temperature is T, the pressure is P and the number of molecules is n, and volume (V) is the same for both the gases.**Use the ideal gas equation:**

⇒ PV = nRT ---- (1)

**For CO**– The temperature is T, Pressure is P’, the number of molecules is n/2, and Volume (V)_{2}**Apply the Ideal gas equation:**

⇒ P’V = (n/2) RT ---- (2)

Equation (2) divided by (1):

⇒ P’/P = n/2

⇒ P’ = P/2