Question

A weather balloon calibrated at 0.00 degrees Celsius to have a volume of 20.0 L has what volume in L at -22.8 degrees Celsius pressure is held constant?

Answer 1

New volume = 18.33 L

Step-by-step explanation:

Given that,

Initial temperature,
`T_1=0^(\circ) C=273.15\ K`

Initial volume,
`V_1=20\ L`

Final temperature,
`T_2=-22.8^(\circ)C=250.35\ K`

We need to find the final volume when pressure is held constant. The relation between volume and temperature is given by :

`V\propto T\\\\(V_1)/(V_2)=(T_1)/(T_2)\\\\V_2=(V_1T_2)/(T_1)\\\\V_2=(20* 250.35)/(273.15)\\\\V_2=18.33\ L`

So, the new volume is equal to
`18.33\ L`.