A container has a volume of $4 L$ $4 L$ and holds $2 m o l$ $2 mol$ of gas. If the container is expanded such that its new volume is $5 L$ $5 L$ , how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

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Answer 1 · 2018-02-08T17:22:31

The number of moles is $= 0.5 m o l$ $=0.5mol$

Apply Avogadro's Law :

$\frac{Volume}{Number of moles} = Constant$ $"Volume"/"Number of moles" = "Constant"$

at $Constant Temperature and Pressure$ $"Constant Temperature and Pressure"$

$\frac{V_{1}}{n_{1}} = \frac{V_{2}}{n_{2}}$ $V_1/n_1=V_2/n_2$

The initial volume is $= 4 L$ $=4L$

The initial number of moles is $n_{1} = 2 m o l$ $n_1=2 mol$

The final volume is $V_{2} = 5 L$ $V_2=5L$

The final number of moles is

$n_{2} = \frac{V_{2}}{V_{1}} \cdot n_{1} = \frac{5}{4} \cdot 2 = 2.5 m o l$ $n_2=V_2/V_1*n_1=5/4*2=2.5mol$

The number of moles to be added is

$n = n_{2} - n_{1} = 2.5 - 2 = 0.5 m o l$ $n=n_2-n_1=2.5-2=0.5mol$

A container has a volume of 4 L4L4 L and holds 2 mol2mol2 mol of gas. If the container is expanded such that its new volume is 5 L5L5 L, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?