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Problemas

Given a gas is at 21 Land 9 mol, what is the volume of the gas when the number of moles changes to 8 mol? Round to one decimal place. square L

Roztwór

Emilio élite · Tutor durante 8 años
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4.5 (262 Votos)

Respuesta

The final volume of the gas when the number of moles changes to 8 mol is 18.9 L.

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 expressed mathematically as:### where and represent the initial volume and number of moles, and and represent the final volume and number of moles.## Step 2In this problem, we are given that the initial volume is 21 L and the initial number of moles is 9 mol. The number of moles changes to 8 mol, so . We are asked to find the final volume .## Step 3We can rearrange the formula to solve for :### \(V2 = V1 * (n2/n1)\)## Step 4Substitute the given values into the formula:### \(V2 = 21 * (8/9)\)## Step 5Calculate the value of .