Question

A sample of hydrogen has an initial temperature of 122.0 °F. When the temperature is lowered to -23.0 °F, the volume of hydrogen becomes 212 cm3. What was the initial volume of the hydrogen?

Answer 1

Answer: The initial volume of gas was
`282cm^3`

Step-by-step explanation:

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

`V\propto T` (At constant pressure and number of moles)

`(V_1)/(T_1)=(V_2)/(T_2)`

where,

`V_1` = initial volume of gas =?

`V_2` = final volume of gas =
`212cm^3`

`T_1` = initial temperature of gas =
`122.0^0F=323.15K`

`(32^0C=273.15K)`

`T_2` = final temperature of gas =
`-23.0^0F=242.59K`

`(V_1)/(323.15)=(212)/(242.59)`

`V_2=282cm^3`

Therefore, the initial volume of gas was
`282cm^3`