a large balloon expands from 4.5 l to 9.0 l when additional he is added. the balloon originally held 0.30…

a large balloon expands from 4.5 l to 9.0 l when additional he is added. the balloon originally held 0.30 mol of he. the temperature and pressure remain constant. how many moles of he are in the expanded balloon? n2 = ? mol

a large balloon expands from 4.5 l to 9.0 l when additional he is added. the balloon originally held 0.30 mol of he. the temperature and pressure remain constant. how many moles of he are in the expanded balloon? n2 = ? mol

Answer

Explanation:

Step1: Identify the gas - law formula

At constant temperature and pressure, Avogadro's law is used, which is $\frac{V_1}{n_1}=\frac{V_2}{n_2}$.

Step2: Substitute the given values

We know that $V_1 = 4.5\ L$, $n_1=0.30\ mol$, and $V_2 = 9.0\ L$. Substituting into the formula $\frac{4.5}{0.30}=\frac{9.0}{n_2}$.

Step3: Solve for $n_2$

Cross - multiply: $4.5n_2=9.0\times0.30$. Then $n_2=\frac{9.0\times0.30}{4.5}$. $n_2 = 0.60\ mol$.

Answer:

$0.60$