How many moles of gas are in a 4.20 L container at 310 K and 0.36 atm? Given R= 0.0821 L atm/ mol K.
Use the sample problem below and follow the 5 steps to help you solve the problem you were given.
a
38.4 moles
b
16.9 moles
c
0.004 moles
d
0.06 moles
To solve this problem, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure in atm
V = volume in liters
n = number of moles
R = ideal gas constant (0.0821 L atm/ mol K)
T = temperature in Kelvin
We can rearrange the equation to solve for the number of moles:
n = PV / RT
Substituting the given values:
P = 0.36 atm
V = 4.20 L
R = 0.0821 L atm/ mol K
T = 310 K
n = (0.36 atm x 4.20 L) / (0.0821 L atm/ mol K x 310 K)
n ≈ 0.017 moles
Therefore, the correct answer is c) 0.004 moles.
To solve this problem, we will use the Ideal Gas Law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
Step 1: Identify the known values:
- Volume (V) = 4.20 L
- Temperature (T) = 310 K
- Pressure (P) = 0.36 atm
- Ideal Gas Constant (R) = 0.0821 L atm/mol K
Step 2: Convert temperature to Kelvin (if necessary):
The temperature is already given in Kelvin, so no conversion is needed in this step.
Step 3: Rearrange the Ideal Gas Law equation to solve for the number of moles:
n = PV / (RT)
Step 4: Plug in the known values into the equation:
n = (0.36 atm) * (4.20 L) / ((0.0821 L atm/mol K) * (310 K))
Step 5: Calculate the number of moles:
n = 0.0532 moles
Therefore, the answer is d) 0.0532 moles.
To solve this problem, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L atm/ mol K)
T = temperature (in Kelvin)
We are given:
V = 4.20 L
P = 0.36 atm
T = 310 K
R = 0.0821 L atm/ mol K
We need to find the value of n, the number of moles.
1. Rearrange the ideal gas law equation to solve for moles:
n = PV / RT
2. Plug in the given values:
n = (0.36 atm) * (4.20 L) / (0.0821 L atm/ mol K * 310 K)
3. Perform the calculations:
n = 0.216 / 25.451
4. Calculate the value of n:
n = 0.0085 moles
So, the correct answer is approximately 0.008 moles (option c).