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A gas has a pressure of 2.31 atm and occupies
a volume of 8 L. If the gas is compressed to
a volume of 1.92 L, what will its pressure be,
assuming constant temperature?
Answer in units of atm.

Respuesta :

Answer:

The pressure of the gas after getting compressed is 1.92 L.

Explanation:

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.  

The equation given by this law is:

[tex]P_1V_1=P_2V_2[/tex]  (At constant temperature)

where,

[tex]P_1\text{ and }V_1[/tex] are initial pressure and volume.

[tex]P_2\text{ and }V_2[/tex] are final pressure and volume.

We are given:

[tex]P_1=2.31 atm\\V_1=8 L\\P_2=?mmHg\\V_2=1.92 L[/tex]

Putting values in above equation, we get:

[tex]2.31 atm\times 8 L=P_2\times 1.92 L[/tex]

[tex]P_2=\frac{2.31 atm\times 8 L}{1.92 L}[/tex]

[tex]P_2=9.625 atm[/tex]

The pressure of the gas after getting compressed is 1.92 L.

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