Question

Your spaceship has docked at a space station above Mars. The temperature inside the space station is a carefully controlled 26 ∘C at a pressure of 755 mmHg . A balloon with a volume of 455 mL drifts into the airlock where the temperature is -87 ∘C and the pressure is 0.115 atm . What is the final volume, in milliliters, of the balloon if n remains constant and the balloon is very elastic?

Answer 1

Answer:

$V_2=32.7mL$

Explanation:

Given

$T_1=26+273=299K$, $T_2=-87+273=186K$

$P_1=0.115atm*\frac{760mmHg}{1atm}=87.4 mmHg$,$P_2=755mmHg$

$V_1=455mL$

Using the Law of gases to solve the final volume in milliliters

$\frac{P_1*V_1}{T_1}= \frac{P_2*V_2}{T_2}$

Solve to V2

$V_2=\frac{T_2*P_1*V_1}{T_1*P_2}$

$V_2=\frac{186K*87.4mmHg*455mL}{299K*755mmHg}$

$V_2=32.7mL$