Question

At T (K), a closed vessel containing 2 g of an ideal gas (A) (molar mass = $ M_A $) exerted a pressure of 1 atm. When 16 g of another ideal gas (B) (molar mass = $ M_B $) was introduced into this vessel, the pressure increased to 2 atm. What is the correct relationship between $ M_A $ and $ M_B $?

• A. \( 2M_A = M_B \)
• B. \( 4M_A = M_B \)
• C. \( 8M_A = M_B \)
• D. \( M_A = M_B \)

Hint:

Use the ideal gas law to relate the pressure and mass of gases. For a fixed volume, the pressure is proportional to the amount of substance.

Answer 1

The Correct Option is C

Using the ideal gas law, the pressure is directly proportional to the amount of gas. Since the pressure doubled when 16 g of gas B was added, the relationship between the masses of A and B must satisfy \( 8M_A = M_B \).