A gas with a volume of 4.0L at a pressure of 205 kPa is allowed to expand to a volume of 12000 mL. What is the pressure in atmospheres in the container if the temperature remains constant?

Respuesta :

Answer: The pressure in atmospheres is 0.674 in the container if the temperature remains constant.

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

[tex]P\propto \frac{1}{V}[/tex]     (At constant temperature and number of moles)

[tex]P_1V_1=P_2V_2[/tex]  

where,

[tex]P_1[/tex] = initial pressure of gas  = 205 kPa

[tex]P_2[/tex] = final pressure of gas = ?

[tex]V_1[/tex] = initial volume of gas  = 4.0 L

[tex]V_2[/tex] = final volume of gas = 12000 ml = 12 L    (1L=1000ml)  

[tex]205\times 4.0=P_2\times 12[/tex]  

[tex]P_2=68.3kPa=0.674atm[/tex]        (1kPa=0.0098atm)

Therefore, the pressure in atmospheres is 0.674 in the container if the temperature remains constant.

Answer:

P2=68.33 mm Hg

Explanation:

P1V1=P2V2

PLUG IN

CONVERT mL TO L (12000mL=12L)

(205)(4)=(P2)(12)

DIVIDE BOTH SIDES BY 12

P2= 68.33 kPa