Question
Use the combined gas law equation to determine the final volume of a system initially of 2 liters if the pressure is tripled and the temperature is tripled. (P1V1)/(T1)=(P2V2)/(T2) less than one liter 18 liters 6 liters 2 liters
Answer
3.8
(160 Votes)
Vance
Professional · Tutor for 6 years
Answer
### 2 liters
Explanation
## Step 1: Identify the Gas Law### We will use the combined gas law that states:
, where
is pressure,
is volume, and
is temperature.## Step 2: Determine Initial Conditions### The initial conditions are
,
liters, and
. ## Step 3: Determine Final Conditions### Since the pressure and temperature are tripled, the final conditions are
and
.## Step 4: Apply the Combined Gas Law### Substitute the known values into the combined gas law:
## Step 5: Simplify the Equation### Simplify the equation by canceling the common terms:
### This simplifies to: