Question

a gas sample has a volume of 5.0 l and contains 1.5 moles of gas. if the amount of gas is increased to 3.0 moles while keeping temperature and pressure constant, what will be the new volume? the new volume is select one select one select one 10 0.9 2.5 22.5

Explanation:

Step1: Recall Avogadro's Law

Avogadro's Law states that \( \frac{V_1}{n_1}=\frac{V_2}{n_2}\) (at constant \(T\) and \(P\)), where \(V\) is volume and \(n\) is the number of moles.

Step2: Identify given values

Given \(V_1 = 5.0\space L\), \(n_1=1.5\space mol\), \(n_2 = 3.0\space mol\).

Step3: Solve for \(V_2\)

Rearrange the formula to \(V_2=\frac{V_1\times n_2}{n_1}\). Substitute the values: \(V_2=\frac{5.0\times3.0}{1.5}\).
Calculate \(V_2=\frac{15}{1.5}=10\space L\).

Answer:

10