1. Tardigrade
  2. Question
  3. Chemistry
  4. A 1.10 L flask containing nitrogen at a pressure of 710.0 torr is connected to an evacuated flask of unknown volume. The nitrogen, which acts ideally, is allowed to expand into the combined system of both flasks isothermally. If the final pressure of the nitrogen is 5809.0 torr, volume of the evacuated flask is

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Q. A $1.10 \,L$ flask containing nitrogen at a pressure of 710.0 torr is connected to an evacuated flask of unknown volume. The nitrogen, which acts ideally, is allowed to expand into the combined system of both flasks isothermally. If the final pressure of the nitrogen is 5809.0 torr, volume of the evacuated flask is

States of Matter

Solution:

Let volume of the evacuated flask be =VL

Initial volume $=1.1\, L$

Final volume $=(1.1+ V )\, L$

Initial pressure $=710$ torr;

Final pressure $=580$ tor

Under isothermal condition $p _{1} V _{1}= p _{2} V _{2}$

$710 \times 1.1=580(1.1+ V )$

$(1.1+ V )=\frac{710 \times 1.1}{580}=1.347\, L$

$\therefore $ Volume of evacuted of flask,

$V=1.347-1.1=0.247\, L$