Problemas
Given a gas is at 14 L and 1 mol, what is the number of moles of the gas when volume changes to 12 L? Round to one decimal place. square mol
Roztwór
Emilia
professionell · Tutor durante 6 años
4.5
(194 Votos)
Respuesta
The number of moles of the gas when the volume changes to 12 L is 0.9 mol.
Explicación
## Step 1The problem involves the application of Avogadro's Law, which states that the volume of a gas is directly proportional to the number of moles of the gas, provided the temperature and pressure remain constant. This relationship can be represented by the equation:###
where
and
are the initial volume and number of moles, and
and
are the final volume and number of moles.## Step 2In this problem, we are given that the initial volume
is 14 L and the initial number of moles
is 1 mol. The final volume
is 12 L, and we are asked to find the final number of moles
.## Step 3We can rearrange the equation to solve for
:### \(n2 = (V2 * n1) / V1\)## Step 4Substitute the given values into the equation:### \(n2 = (12 L * 1 mol) / 14 L = 0.8571 mol\)## Step 5The problem asks us to round the answer to one decimal place, so the final answer is 0.9 mol.