A rigid container of O2 has a pressure of 340 kPa at a temperature of 713 K. what is the pressure at 273 K

Respuesta :

P1/T1 = p2/T2 

340/ 713 = p2/ 273 
p2 = 340 x 273/ 713 = 130 kPa

Answer: The pressure at 273 K is 130 kPa.

Solution:- From Gay-Lussac's law, "At constant volume, the pressure of a given mass of a gas is directly proportional to the kelvin temperature."

The equation used for this is written as:

[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]

Where, [tex]P_1[/tex] is the pressure at [tex]T_1[/tex] temperature and [tex]P_2[/tex] is the pressure at [tex]T_2[/tex] temperature.

Temperatures are already given in kelvin so no need to do the conversion. Let's plug in the values and calculate the new pressure.

[tex]\frac{340kPa}{713K}=\frac{O_2}{273K}[/tex]

On rearranging this for new pressure:

[tex]P_2=\frac{340kPa*273K}{713K}[/tex]

[tex]P_2=130kPa[/tex]