what is the temperature T(in K), internal energy U(in joules), and typical veloc
ID: 1326603 • Letter: W
Question
what is the temperature T(in K), internal energy U(in joules), and typical velocity of molecules(in m/s) of 1kg of nitrogen gas (N2) occupying the volume of 1m^3 at sea level pressure. Molar mass of nitrogen N is 14g/mole. Assume that N2 behaves like an ideal gas. what is the temperature T(in K), internal energy U(in joules), and typical velocity of molecules(in m/s) of 1kg of nitrogen gas (N2) occupying the volume of 1m^3 at sea level pressure. Molar mass of nitrogen N is 14g/mole. Assume that N2 behaves like an ideal gas. what is the temperature T(in K), internal energy U(in joules), and typical velocity of molecules(in m/s) of 1kg of nitrogen gas (N2) occupying the volume of 1m^3 at sea level pressure. Molar mass of nitrogen N is 14g/mole. Assume that N2 behaves like an ideal gas.Explanation / Answer
number of moles = n = m/M
from ideal gas equation
P*V = n*R*T
T = P*V/n*R
T = P*V*M/m*R
T = (1.013*10^5*1*0.014)/(1*8.314)
T = 170.6 K
internal energy = U = (3/2)*n*R*T = (3/2)*(0.014/1)*8.314*170.6
U = 29.8 J
velocity = sqrt(3RT/M)
v = sqrt((3*8.314*170.6)/0.014))
v = 531.3 m/s
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