14. Thermodynamics question bank (Physics)

An oxygen cylinder of volume \( 30\, \text{litres} \) has \( 18.20 \) moles of oxygen.  
After some oxygen is withdrawn from the cylinder, its gauge pressure drops to \( 11 \) atmospheres at temperature \( 27^\circ C \).  
The mass of the oxygen withdrawn from the cylinder is nearly equal to:

[Given:  
 \( R = \frac{100}{12} \, \text{J mol}^{-1} \text{K}^{-1} \),  
 Molecular mass of \( O_2 = 32 \),  
 \( 1\, \text{atm} = 1.01 \times 10^5 \, \text{N/m}^2 \)]

A monoatomic gas is suddenly compressed to \( \frac{1}{8} \)th of its initial volume adiabatically. The ratio of its final pressure to the initial pressure is (Given the ratio of the specific heats of the given gas to be \( \frac{5}{3} \))