Respuesta :

The temperature of the system is 141.36K.

Explanation:

According to the universal gas law, the pressure of a gas is directly proportional to the absolute temperature and number of moles of the gas and inversely proportional to the volume of the gas.

So in equation format,

[tex]\frac{P\times V}{n\times T}[/tex] =constant.

Or[tex]\frac{P\times V}{n\times T}[/tex]= R.

Here R is called the universal gas constant which has different values in different units.

Here the unit of volume is in litres and unit of pressure is in atmosphere.

So. Value of R comes as =0.082057[tex]\frac{L\times atm} {K\times mole}[/tex].

So, according to the question,

P is 5.8atm, V is 12 litres and n is 6 moles.

So, [tex]5.8\times12[/tex] = [tex]6\times0.082057\times T[/tex].

Or, T = [tex]\frac{5.8\times12} {6\times0.082057}[/tex].

Or, T = 141.36.

So,the temperature of the system is 141.36K