3. Calculate the number of moles of gas present in a container that has a volume of 3.7L, is at a pressure of 1.2atm and is at a temperature of 290K given the gas constant R = 0.0821 Latm/molK.

Question

3.    Calculate the number of moles of gas present in a container that has a volume of 3.7L, is at a pressure of 1.2atm and is at a temperature of 290K given the gas constant R = 0.0821 Latm/molK.  
a. 105.7 moles
b. 0.186 moles
c. 5.36 moles

GPT 3.5 · Answer

To calculate the number of moles of gas, we can use the ideal gas law equation:

PV = nRT

Where:
P = Pressure (in atm)
V = Volume (in L)
n = Number of moles
R = Gas constant (0.0821 Latm/molK)
T = Temperature (in K)

Plugging in the given values:

1.2atm * 3.7L = n * 0.0821 Latm/molK * 290K

4.44 = 23.819n

Dividing both sides by 23.819:

n = 4.44 / 23.819

n ≈ 0.186 moles

Therefore, the number of moles of gas present in the container is approximately 0.186 moles.

So, the correct answer is b. 0.186 moles.