Question

A balloon that contains 0.750 moles of gas has a volume of 16.8 l. if the balloon expands to a volume of 25.4 l at a constant pressure and temperature, how many moles of gas would the balloon contain? 0.496 mol 0.882 mol 1.13 mol 6.45 mol

Answer 1

The answer is 1.13 mol

Answer 2

Answer: 1.13 mol

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 = 16.8 L

$V_2$ = final volume of gas = 25.4 L

$n_1$ = initial number of moles = 0.750

$n_2$ = final number of moles = ?

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

$\frac{16.8}{0.750}=\frac{25.4}{n_2}$

$n_2=1.13$

Therefore, the final moles will be 1.13.