At 46°C and 0.880 atm pressure, a gas occupies a volume of 0.600 L. How many liters will it occupy at 0°C and 0.205 atm?
A. 0.600 L
B. 0.140 L
C. 2.20 L
D. 2.58 L
E. 0.513 L

Respuesta :

Answer:

C.) v=2.20L

Explanation:

According to the Combined Gas Law:

[tex]\frac{p_1v_1}{t_1}=\frac{p_2v_2}{t_2}[/tex]

For this problem, let

[tex]p_1=0.880atm\\v_1=0.600L\\t_1=(46+273)K=319K\\\\p_2=0.205atm\\t_2=(0+273)K=273K[/tex]

So,

[tex]\frac{(0.880atm)(0.600L)}{319K}=\frac{(0.205atm)v_2}{273K}\\0.00166\frac{atm*L}{K}=\frac{(0.205atm)v_2}{273K}\\(0.00166\frac{atm*L}{K})(273K)=(\frac{(0.205atm)v_2}{273K})(273K)\\0.452atm*L=(0.205atm)v_2\\\frac{0.452atm*L}{0.205atm}=\frac{(0.205atm)v_2}{0.205atm}\\2.20L=v_2[/tex]