QuestionAugust 4, 2025

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? n_(2)=[?] 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? n_(2)=[?] 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?
n_(2)=[?] mol

Solution
4.1(226 votes)

Answer

n_{2} = 3.125 mol Explanation 1. Apply Ideal Gas Law Use PV = nRT. Since pressure (P), temperature (T), and R are constant, n_1V_1 = n_2V_2. 2. Solve for n_2 Rearrange to find n_2: n_2 = \frac{n_1V_1}{V_2}. Substitute n_1 = 1.25 mol, V_1 = 25.0 L, V_2 = 10.0 L.

Explanation

1. Apply Ideal Gas Law<br /> Use $PV = nRT$. Since pressure ($P$), temperature ($T$), and $R$ are constant, $n_1V_1 = n_2V_2$.<br />2. Solve for $n_2$<br /> Rearrange to find $n_2$: $n_2 = \frac{n_1V_1}{V_2}$. Substitute $n_1 = 1.25$ mol, $V_1 = 25.0$ L, $V_2 = 10.0$ L.
Click to rate:

Similar Questions