Question

Two balloons are filled with pure gases and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume is:

• A. more in the gas filled balloon
• B. same in both balloons
• C. more in air filled balloon
• D. in the ratio 1 : 4

Hint:

Number of molecules per unit volume depends only on pressure and temperature.

Answer 1

The Correct Option is B

Step 1: From ideal gas equation: \[ \frac{N}{V} = \frac{P}{kT} \]
Step 2: Since \(P\) and \(T\) are same for both balloons, number density is the same.