Question

Calculate the change in temperature that would shrink a room-temperature balloon to one-half its size. Vo is 10 Vf is 5

Answer 1

room temp is 20 C right?

Answer 2

P V = n R T
V and T change
P stays constant - 1 atmosphere
n stays constant, same molecules in there
R just plain is a constant
so
T = constant * V
V2 = .5 V1
T1 = constant * V1
T2 = constant * .5 V1 = constant * .5 T1
half the volume is half the temperature
if the original temp was 20 C that is 293 K
so the final temp is 146 K or -127 C

Answer 3

okay ... 20ºC ... or 293ºK

gas volume is proportional to the absolute (Kelvin) temperature

so half of the ambient temperature is the change required

Answer 4

so using Charles' law