a flexible container holding 1.25 moles of a gas contracts from 25.0 l to 10.0 l when some gas is removed…

a flexible container holding 1.25 moles of a gas contracts from 25.0 l to 10.0 l when some gas is removed. the pressure and temperature remain the same throughout. how many moles of gas are in the contracted container? n₂ = ? mol

a flexible container holding 1.25 moles of a gas contracts from 25.0 l to 10.0 l when some gas is removed. the pressure and temperature remain the same throughout. how many moles of gas are in the contracted container? n₂ = ? mol

Answer

Explanation:

Step1: Identify the gas - law relationship

Since pressure and temperature are constant, we use Avogadro's law $V_1/n_1 = V_2/n_2$.

Step2: Substitute the given values

We know $V_1 = 25.0\ L$, $n_1=1.25\ mol$, $V_2 = 10.0\ L$. Rearranging for $n_2$ gives $n_2=\frac{V_2n_1}{V_1}$.

Step3: Calculate $n_2$

$n_2=\frac{10.0\ L\times1.25\ mol}{25.0\ L}=0.5\ mol$

Answer:

$0.5$