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?

Question

asked May 2, 2022 147k views

1 Answer

Roy Clarkson · Answer 1 · 2022-05-08T13:17:42+0000

Answer:

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
$18.33\ L$ .