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

Question

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 (A) 4.056 L (B) 0.247 L (C) 1.350 L (D) 0.074 L

Tardigrade Admin · Accepted Answer

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

∴

Volume of evacuted of flask,

V = 1.347 - 1.1 = 0.247 L

4.056 L

0.247 L

1.350 L

0.074 L

Let volume of the evacuated flask be =VL Initial volume =1.1L Final volume =(1.1+V)L Initial pressure =710 torr; Final pressure =580 tor Under isothermal condition p1​V1​=p2​V2​ 710×1.1=580(1.1+V) (1.1+V)=580710×1.1​=1.347L ∴ Volume of evacuted of flask, V=1.347−1.1=0.247L