Question

A sample of gas at 181.8 ◦C has a volume of 4.34 L. The volume expands to 10.44 L due to a temperature change at constant pressure. What will be the new temperature(in degrees Celcius)? (round your answer to the hundredth place)

Answer 1

Final temperature = 821.25 °C

Step-by-step explanation:

In this process, we expand a gas at constant pressure from one temperature to another temperature.

According to Avogadro's law , ratio of volume and temperature for an ideal gas remains constant .

• 
  `V_(1) = 4.34 L`

• 
  `V_(2) = 10.44 L`

• 
  `T_(1) = 454.95 K`

• 
  `T_(2) =` unknown

`(V)/(T)` = constant

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

`(4.34)/(454.95) = (10.44)/(T_(2) )`

`T_(2) =` 1094.4 K

To convert the temperature to celsius, subtract 273.15 from final temperature in K.

So ,
`T_(2) =` 821.25 °C