Question

A vessel containing 1 more of \( O_2 \) gas (molar mass 32) at temperature \( T \). The pressure of the gas is \( p \). An identical vessel containing one mole of He gas (molar mass 4) at temperature 2T has a pressure of –

• A. \( \frac{p}{8} \)
• B. \( p \)
• C. \( 2p \)
• D. \( 8p \)

Hint:

The pressure of an ideal gas is directly proportional to the number of moles and temperature, according to the ideal gas law.

Answer 1

The Correct Option is C

Step 1: Use the ideal gas law.
Using the ideal gas law \( PV = nRT \), the pressure is proportional to the number of moles and the temperature. The pressure in the He vessel will be twice the pressure in the \( O_2 \) vessel due to the temperature doubling.
Step 2: Conclusion.
The pressure in the He vessel will be \( 2p \). Final Answer: \[ \boxed{2p} \]