Given that R= 0.0821(L atm) / (mol K) how many moles must be in a 2L container at 1.8 atmospheres with a temperature of 270K?
To solve this problem, we can use the ideal gas law, which states:
PV = nRT
Where:
- P is the pressure in atmospheres (1.8 atm)
- V is the volume in liters (2 L)
- n is the number of moles
- R is the ideal gas constant (0.0821 L atm / (mol K))
- T is the temperature in Kelvin (270 K)
Rearranging the equation to solve for n:
n = PV / RT
Plugging in the given values:
n = (1.8 atm * 2 L) / (0.0821 L atm / (mol K) * 270 K)
n = 3.6 / (0.0821 * 270)
n = 3.6 / 22.167
n ≈ 0.1629 mol
Therefore, there must be approximately 0.1629 moles in a 2L container at 1.8 atmospheres with a temperature of 270K.
To find the number of moles in a 2L container at 1.8 atmospheres with a temperature of 270K, we can use the ideal gas law equation:
PV = nRT
where:
P = pressure (in atmospheres)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L atm / (mol K))
T = temperature (in Kelvin)
Let's plug in the given values:
P = 1.8 atm
V = 2 L
R = 0.0821 L atm / (mol K)
T = 270 K
Now, we can rearrange the equation to solve for n:
n = PV / RT
Substituting the given values:
n = (1.8 atm * 2 L) / (0.0821 L atm / (mol K) * 270 K)
Simplifying the equation:
n = 3.6 / 22.167
n ≈ 0.163 mol
Therefore, there must be approximately 0.163 moles of gas in the 2L container at 1.8 atmospheres with a temperature of 270K.
To find the number of moles in a 2L container at 1.8 atmospheres with a temperature of 270K, you can use the Ideal Gas Law equation:
PV = nRT
Where:
P = pressure in atmospheres
V = volume in liters
n = number of moles
R = ideal gas constant (0.0821 L atm / (mol K))
T = temperature in Kelvin
Rearranging the equation to solve for n:
n = PV / RT
Substituting the given values into the equation:
n = (1.8 atm) * (2 L) / (0.0821 L atm / (mol K)) * (270 K)
Now we can calculate the value of n:
n = (1.8 * 2) / (0.0821 * 270)
n ≈ 0.1552 moles
Therefore, there must be approximately 0.1552 moles of gas in the 2L container at 1.8 atmospheres with a temperature of 270K.