Gas Laws

We are given that the initial mass of the substance is 16 kg at 1 atm pressure, and the pressure is reduced to 0.7 atm. We are asked to find the amount of substance taken out.

1. Step 1: Use the ideal gas law relation According to the ideal gas law, , where: - is the pressure, - is the volume, - is the number of moles, - is the gas constant, - is the temperature. Since the temperature and volume remain constant, the relationship between pressure and mass is: where: - atm, - atm, - kg (initial mass), - is the final mass.

2. Step 2: Solve for the final mass : Using the formula: Solving for :

3. Step 3: Find the amount taken out: The amount of substance taken out is: Thus, the amount taken out is kg.

Concept: At constant temperature and volume:

Step 1: Use ratio.


Step 2: Find removed mass.

Concept:

Step 1: Given condition.


Step 2: Equation becomes.


Step 3: Identify process.
This is isothermal process.

Concept:
• Ideal gas behavior is best at high temperature and low pressure

Step 1: Reason
At high temperature → intermolecular forces negligible
At low pressure → large separation between molecules

Step 2: Conclusion
Real gas behaves like ideal gas under these conditions. Final Conclusion:
Option (B)