[Four-digit Integer] An LPG cylinder weighs 14.8 kg when empty. When full, it weighs 28.8 kg and sho β States of Matter and Gaseous State Chemistry Question
Question
[Four-digit Integer] An LPG cylinder weighs 14.8 kg when empty. When full, it weighs 28.8 kg and shows a pressure of 35.5 atm. In the course of use at 300 K, the weight of the full cylinder is reduced to 23.2 kg. Assume LPG to be n-butane with normal boiling point of 273 K. If ab = 1/100 Γ the volume (in litre) of the gas used up at the normal usage conditions, and cd = final pressure (in atm) inside the cylinder, then the value of abcd is
π‘ Solution & Explanation
Remaining LPG $=23.2-14.8=8.4$ kg (liquid phase present). While liquid exists, cylinder pressure = saturated vapour pressure of n-butane at 300 K. Using Clausius-Clapeyron ($T_b=273$ K, $\Delta H_{vap}=22.44$ kJ/mol): $\ln(P_2/1)=\frac{22440}{8.314}\left(\frac{1}{273}-\frac{1}{300}\right)\approx0.73 \Rightarrow P\approx2.1$ atm. Answer: $100\times2.1=210 \Rightarrow \boxed{0210}$