Question

question 14
in a beaker of volume 15.45 l there are 6.25 moles of a gas. if the number of moles is reduced to 1.26 moles what will be the new volume?
enter answer
l

Explanation:

Step1: Apply Avogadro's Law

Avogadro's Law is \( \frac{V_1}{n_1}=\frac{V_2}{n_2} \), where \( V_1 = 15.45\ L \), \( n_1=6.25\ mol \), \( n_2 = 1.26\ mol \).

Step2: Solve for \( V_2 \)

Rearrange the formula to \( V_2=\frac{V_1\times n_2}{n_1} \). Substitute the values: \( V_2=\frac{15.45\times1.26}{6.25} \).
First, calculate \( 15.45\times1.26 = 19.467 \). Then, \( V_2=\frac{19.467}{6.25}=3.11472\ L \).

Answer:

\( 3.11\ L \) (rounded to two decimal places)