Question

If I have 6 moles of a gas at a pressure of 5.8 atm and a volume of 12 liters, what

is the temperature?

Answer 1

The temperature of the system is 141.36K.

Step-by-step 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,

`(P* V)/(n* T)` =constant.

Or
`(P* V)/(n* T)`= 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
`\frac{L* atm} {K* mole}`.

So, according to the question,

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

So,
`5.8*12` =
`6*0.082057* T`.

Or, T =
`\frac{5.8*12} {6*0.082057}`.

Or, T = 141.36.

So,the temperature of the system is 141.36K