A gas sample is heated from -20.0°C to 57.0°C and the volume is increased from 2.00 L to 4.50 L. If the initial pressure is 0.140 atm, what is the final pressure? Select one: a. 0.0477 atm b. –0.177 atm c. 0.411 atm d. 0.242 atm e. 0.0811 atm

Respuesta :

Answer:

The answer is e.

Explanation:

We take:

[tex]T_{1}=253K[/tex]

[tex]V_{1}=2.00 l[/tex]

[tex]P_{1}=0.14atm[/tex]

[tex]V_{2}=4.50 l[/tex]

[tex]T_{2}=330K[/tex]

Taking the gas as an ideal gas, we can use the ideal gas law:

[tex]\frac{PV}{nRT}[/tex]

⇒ [tex]n=\frac{P_{1}V_{1}}{RT_{1}}[/tex] ⇒ [tex]n=0.013mol[/tex]

Then:

[tex]P_{2}=\frac{nRT_{2}}{V_{2}}[/tex] ⇒ [tex]P_{2}=0.0811 atm[/tex]

Taking R=0.08205atmL/molK.