Answer to Question #105986 in General Chemistry for fred

Question

A sealed balloon is filled with 1.25L of helium at 23.0c and 1.00bar. The balloon rises to a point in the atmosphere the pressure is 0.250 bar and the temperature is-31.0c. What is the volume of the balloon under these new conditions?

Answer 1

$V_1=1.25L$

$P_1=1 bar$

$T_1=23°C=296K$

$P_2​=0.250bar$

$T_2=-31°C=244K$

$\frac{P_2V_2}{T_2}=\frac{P_1V_1}{T_1}$

$V_2=\frac{P_1V_1T_2}{T_1P_2}$

$V_2=\frac{1×1.25×244}{296×0.25}$

$V_2=4.122L$