Question

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

Answer 1

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,

$\frac{P\times V}{n\times T}$ =constant.

Or$\frac{P\times V}{n\times T}$= 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$\frac{L\times atm} {K\times mole}$.

So, according to the question,

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

So, $5.8\times12$ = $6\times0.082057\times T$.

Or, T = $\frac{5.8\times12} {6\times0.082057}$.

Or, T = 141.36.

So,the temperature of the system is 141.36K