Problemas
4. A balloon contains 2 moles of helium gas with a volume of 4 liters. If more helium is added so that there are now 6 moles of gas (while keeping the temperature and pressure the same), wha will be the new volume of the balloon?
Roztwór
Georgina
maestro · Tutor durante 5 años
4.2
(303 Votos)
Respuesta
The new volume of the balloon will be 12 liters.
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 are constant. This relationship can be expressed as:###
where
and
are the initial volume and number of moles, and
and
are the final volume and number of moles, respectively.## Step 2In this problem, the initial volume
is 4 liters and the initial number of moles
is 2 moles. The final number of moles
is 6 moles. We are asked to find the final volume
.## Step 3We can rearrange the formula to solve for
:###
## Step 4Substitute the given values into the formula:###
## Step 5Calculate the final volume:###