Question

A gas has a volume of 3.16 L at 0 ∘C. What final temperature, in degrees Celsius, is needed to change the volume of the gas to each of the following, if n and P do not change? Express your answer in three significant figures in degree Celsius A)1.99L B)1270mL C)11.0L D)40.2mL

Answer 1

A)

Given:

Ti = 0.0 oC

= (0.0+273) K

= 273 K

Vi = 3.16 L

Vf = 1.99 L

use:

Vi/Ti = Vf/Tf

3.16 L / 273.0 K = 1.99 L / Tf

Tf = 171.9209 K

Tf = -101 oC

Answer: -101 oC

B)

Given:

Ti = 0.0 oC

= (0.0+273) K

= 273 K

Vi = 3.16 L

Vf = 1270.0 mL

= (1270.0/1000) L

= 1.27 L

use:

Vi/Ti = Vf/Tf

3.16 L / 273.0 K = 1.27 L / Tf

Tf = 109.7184 K

Tf = -163 oC

Answer: -163 oC

C)

Given:

Ti = 0.0 oC

= (0.0+273) K

= 273 K

Vi = 3.16 L

Vf = 11.0 L

use:

Vi/Ti = Vf/Tf

3.16 L / 273.0 K = 11.0 L / Tf

Tf = 950.3165 K

Tf = 677 oC

Answer: 677 oC

D)

Given:

Ti = 0.0 oC

= (0.0+273) K

= 273 K

Vi = 3.16 L

Vf = 40.2 mL

= (40.2/1000) L

= 0.0402 L

use:

Vi/Ti = Vf/Tf

3.16 L / 273.0 K = 0.0402 L / Tf

Tf = 3.473 K

Tf = -270. oC

Answer: -270. oC