Many laboratories have a large aluminum tank of very cold liquid nitrogen. It boils at a very low temperature. The liqu always evaporating so there is N, gas inside the tank above the liquid. Suppose the volume of N, gas inside the tank pressure is 1 atm, and the temperature is halfway between room temperarure and the boiling point of liquid nitrogen, at -88°C. How many moles n of nitrogen gas would be inside the tank? Note the relative atom mass of a nitrogen c 14.0, but this is diatomic (molecular) nitrogen, N2, so the A, of each molecule is twice that of one atom, 28.0. Also fo 1 atm of pressure = 101 kPa, R = 8.31 J/(K-mol), k = 1.38 x10-23 J/K, and N = 6.02 x1023. (Hints: convert liters to m3 a

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Many laboratories have a large aluminum tank of very cold liquid nitrogen. It boils at a very low temperature. The liquid nitrogen is
always evaporating so there is N, gas inside the tank above the liquid. Suppose the volume of N, gas inside the tank is 20 L, the
pressure is 1 atm, and the temperature is halfway between room temperarure and the boiling point of liquid nitrogen, that is, it's
at -88°C. How many moles n of nitrogen gas would be inside the tank? Note the relative atom mass of a nitrogen atom is A, =
14.0, but this is diatomic (molecular) nitrogen, N2, so the A, of each molecule is twice that of one atom, 28.0. Also for reference,
1 atm of pressure = 101 kPa, R = 8.31 J/(K-mol), k = 1.38 x10 23 J/K, and N = 6.02 x1023. (Hints: convert liters to m³3 and pressure
to Pa. What units should be used for temperature?)
Transcribed Image Text:Many laboratories have a large aluminum tank of very cold liquid nitrogen. It boils at a very low temperature. The liquid nitrogen is always evaporating so there is N, gas inside the tank above the liquid. Suppose the volume of N, gas inside the tank is 20 L, the pressure is 1 atm, and the temperature is halfway between room temperarure and the boiling point of liquid nitrogen, that is, it's at -88°C. How many moles n of nitrogen gas would be inside the tank? Note the relative atom mass of a nitrogen atom is A, = 14.0, but this is diatomic (molecular) nitrogen, N2, so the A, of each molecule is twice that of one atom, 28.0. Also for reference, 1 atm of pressure = 101 kPa, R = 8.31 J/(K-mol), k = 1.38 x10 23 J/K, and N = 6.02 x1023. (Hints: convert liters to m³3 and pressure to Pa. What units should be used for temperature?)
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