Question

A sample of hydrogen gas occupies a volume of 6.38 L at 48.0°C and 0.490 atm. If it is desired to increase the volume of the gas sample to 8.10 L, while increasing its pressure to 0.655 atm, the temperature of the gas sample at the new volume and pressure must be ________°C.

Answer 1

The final temperature 271.77 °C

Step-by-step explanation:

Given:

Initial pressure
`P_(1) =0.490` atm

Final pressure
`P_(2) = 0.655` atm

Initial temperature
`T_(1) =` 48° C = 321 K

Initial volume
`V_(1) = 6.38` L

Final volume
`V_(2) = 8.10` L

From ideal gas equation,

`(P_(1) V_(1) )/(T_(1) ) = (P_(2) V_(2) )/(T_(2) )`

`T_(2) = (P_(2) V_(2) )/(P_(1) V_(1) ) * T_(1)`

`T_(2) = (0.655 * 8.10 )/(0.490 * 6.38 ) * 321`

`T_(2) = 544.77` K

`T_(2) =` 271.77°C

Therefore, the final temperature 271.77 °C