A tank contains 651 L of compressed oxygen gas at a pressure of 122 atm at 25.0 degree C. What is the volume of the oxygen (in L) at a pressure of 745 torr if the temperature remains unchanged?

5.23 L
8 10 times 10^4L
0.184 L
651 L

Respuesta :

P1V1=P2V2

745 torr*1 atm/760 torr=0.980 atm

122 atm*651L=0.980 atm * x 

x=(122 atm*651L)/0.980 atm =81042 L ≈ 81000 L=8.10*10⁴ L
8.10*10⁴ L is second answer looks like this?

A tank contains 651 L of oxygen gas at 122 atm and 25 °C. A the same temperature and 745 Torr, it occupies 8.10 × 10⁴ L.

Oxygen gas occupies 651 L (V₁) at 122 atm (P₁) and 25.0 °C.

We will convert 122 atm to Torr using the conversion factor 1 atm = 760 Torr.

[tex]122 atm \times \frac{760Torr}{1atm} = 9.27 \times 10^{4} Torr[/tex]

Then, the pressure is decreased to 745 Torr (P₂) and the temperature remains constant. We can calculate the new volume (V₂) occupied by the oxygen gas using Boyle's law.

[tex]P_1 \times V_1 = P_2 \times V_2\\\\V_2 = \frac{P_1 \times V_1}{P_2} = \frac{9.27 \times 10^{4} Torr \times 651L}{745Torr} = 8.10 \times 10^{4} L[/tex]

A tank contains 651 L of oxygen gas at 122 atm and 25 °C. A the same temperature and 745 Torr, it occupies 8.10 × 10⁴ L.

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