Respuesta :
Answer:
-115°C is the temperature on planet X.
Explanation:
Pressure inside the space station = [tex]P_1=761 mmHg=\frac{761}{760}atm=1.00 atm[/tex]
1 atm = 760 mmHg
Temperature inside the space station =[tex]T_1 = 27^oC = 27 + 273 K = 300 K[/tex]
Volume of the air filled in the balloon = [tex]V_1=855 mL=0.855 L[/tex]
1 mL = 0.001 L
Atmospheric pressure on planet X = [tex]P_2=0.14 atm[/tex]
Temperature on the planet X = [tex]T_2=?[/tex]
Volume of the air filled in the balloon on planet X = [tex]V_2=3.21 L[/tex]
Using combined gas equation :
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
[tex]T_2=\frac{P_2V_2\times T_1}{P_1V_1}[/tex]
[tex]T_2=\frac{P_2V_2\times T_1}{P_1V_1}[/tex]
[tex]=\frac{0.14 atm \times 3.21 L\times 300K}{1.00 atm\times 0.855 L}=157.7 K[/tex]
[tex]T_2=157.7K=157-273^oC=-115.3^oC\approx -115^oC[/tex]
-115°C is the temperature on planet X.
