Question

A gas system has initial volume and moles of 2.63L and 0.901moles. If the number of moles changes to 0.569moles, under conditions of constant P and T, what will the resultant volume be in L?

Answer 1

The resultant volume is 1.66 L

Explanation:

According to the Avogadro's law, the volume of gas is directly proportional to the number of moles of gas at same pressure and temperature. That means,

$V\propto n$

or,

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

where,

$V_1$ = initial volume of gas = 2.63 L

$V_2$ = final volume of gas = ?

$n_1$ = initial moles of gas = 0.901

$n_2$ = final moles of gas = 0.569

$\frac{2.63}{V_2}=\frac{0.901}{0.569}$

$V_2=1.66L$

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