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A sample of a gas occupies 1.80 L at -10. °C and 450. Torr. What will be the temperature if the pressure is increased to 800. Torr and the volume is decreased by 1/3?

Respuesta :

Answer: 156 K

Explanation:

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]

where,

[tex]P_1[/tex] = initial pressure of gas = 450 torr

[tex]P_2[/tex] = final pressure of gas = 800 torr

[tex]V_1[/tex] = initial volume of gas = 1.80 L

[tex]V_2[/tex] = final volume of gas = [tex]\frac{1}{3}\times 1.80L=0.60L[/tex]

[tex]T_1[/tex] = initial temperature of gas = [tex]-10^oC=273-10=263K[/tex]

[tex]T_2[/tex] = final temperature of gas = ?

Now put all the given values in the above equation, we get:

[tex]\frac{450\times 1.80}{263}=\frac{800\times 0.60}{T_2}[/tex]

[tex]T_2=156K[/tex]

Thus the final temperature will be 156 K