2. A sealed container holds 0.020 moles of ideal nitrogen (N2) gas at a pressure
ID: 1361816 • Letter: 2
Question
2. A sealed container holds 0.020 moles of ideal nitrogen (N2) gas at a pressure of 1.5 atmospheres and a temperature of 290 K. The atomic mass of nitrogen is 14.0 g/mol.
What is the approximate number of molecules in the gas?
b. What is the approximate mass density of the gas, in SI units?
c. What is the approximate translational kinetic energy of a nitrogen molecule, in SI units?
d. What is the approximate quantity of heat, transferred at constant volume, that raises the temperature of the gas to 300 K, in SI units?
Explanation / Answer
2)
number of moles = n = 0.020
1 mole contain avagadro number of molecules
number of molecules = N = n*NA = 0.02*6.023*10^23 = 1.2046*10^22 molecules
(b)
mass density =
PV = n*R*T
P*V = (m/M)*R*T
m/V = P*M/RT
mass density m/V = (1.5810^5*0.014)/(8.314*290) = 5.735*10^-5 kg/m^3
(c)
KEt = (3/2)*R = (3/2)*8.314 = 12.471 J
(d)
Cv = specific heat at constant volume = (5/2)R
heat = Q = n*CV*dT = 0.0202 *(5/2)*R*dT
Q = 0.0202*2.5*8.314*(300-290)
Q = 4.198 J
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