Question

A 8.5-liter sample of a gas at 2.0 atm and 300.0 K has 1.2 moles of the gas. If 0.65 mole of the gas is added to the sample at the same temperature and pressure, what is the final volume of the gas?
13 liters
14 liters
18 liters
21 liters

Answer 1

Did you take the test? what was the answer Im stuck on this one too

Answer 2

Answer: 13 liters

Explanation:

Avogadro's Law: This law states that volume is directly proportional to the number of moles of the gas at constant pressure and temperature.

$V\propto n$   (At constant temperature and pressure)

$\frac{V_1}{n_1}=\frac{V_2}{n_2}$

where,

$V_1$ = initial volume of gas = 8.5 L

$V_2$ = final volume of gas = ?

$n_1$ = initial moles of gas =  1.2 moles

$n_2$ = final moles of gas = 1.2 +0.65 = 1.85 moles

Now put all the given values in the above equation, we get the final pressure of gas.

$\frac{8.5L}{1.2}=\frac{V_2}{1.85}$

$V_2=13L$

Therefore, the final volume of the gas will be 13 Liters.