Question

What is the density (in kg/m3) of nitrogen gas (molecular mass = 28 u) at a pressure of 2.0 atmospheres and a temperature of 310 K?

Answer #1

If the molecular weight of air is 28.9, what is the density of
air at atmospheric pressure and a temperature of 368.7 K? 1 atm =
1.013×105 N/m2, the mass of a proton is 1.67262 × 10?27 kg ,
Avogadro’s number is 6.02214 × 1023 mol?1 and k = 1.38065 × 10?23 N
· m/K . Answer in units of kg/m3.

If 100 g of air consists of 77% by weight of nitrogen (N2,
molecular weight = 28), and 23% by weight of oxygen (O2, molecular
weight = 32), calculate (a) the mean molecular weight of air, (b)
mole fraction of oxygen, (c) concentration of oxygen in mol/m3 and
kg/m3, if the total pressure is 1.5 atm and the temperature is
25°C.

Consider a gas of nitrogen molecules at 20°C with a particle
density of 2.7 ×1019 molecules/cm3. The molar mass of
nitrogen molecules is 28 g/mol.(a) What is the rms speed of the
nitrogen molecules?(b) At what temperature will the rms speed be
half that value?(c) What is the average translational kinetic
energy of these molecules at 20°C? (d) The mean free path of the
nitrogen molecules is 0.80×10−5 cm. What is the molecular radius of
a nitrogen molecule?

Molecular masses for O2 and N2 are 32 u and 28 u,
respectively.
a) What is the ratio of the root mean square speeds of oxygen to
nitrogen at 30 ◦ C?
b) What is the ratio at 98 ◦ C?

The mass of nitrogen at 20 Celsius and two atmospheres of
pressure occupies a volume of 800m^3. What is the variation of
volume produced when heated isobaric until 156.6 Celsius? What is
the variation of pressure produced from the gas if the gas is
heated until the same temperature but with constant volume?

please show all steps.
2.5 kg of nitrogen gas with an initial temperature of 300 K and
pressure of 100 kPa is compressed to a higher pressure. The
internal energy change during this process is 70 kJ/kg. Determine
the final temperature of the nitrogen. Please perform at least two
iterations with average specific heats.

An object with a density of 681.0 kg/m3 and a mass of 1831.0 kg
is thrown into the ocean. Find the volume that sticks out of the
water. (use ρseawater = 1024 kg/m3)

A mixture of perfect gases consists of 3 kg of carbon monoxide
and 1.5 kg of nitrogen at a pressure of 0.1 MPa and a temperature
of 298.15 K. Using Table 5-1, find (a) the effective molecular mass
of the mixture, (b) its gas constant, (c) specific heat ratio, (d)
partial pressures, and (e) density.
Table 5-1 comes from Rocket Propultion Elements volume 8.

a) A balloon is filled with 1000 liters of a gas on the ground
at 1.000 bar pressure and 25.6 oC temperature. What is
the number of moles of gas in the balloon? ( R= 0.08206 L.atm/mol.
K). 1 atm = 1.01325 bar.
b) If the balloon ascends to an altitude where the pressure is
0.620 bar and the temperature is 260 K, what is the molar mass of
the gas in the balloon if its densityis 0.8037 g/L?
c)...

The average density of human blood is 1060 kg/m3.
What is the mass of blood in a person who has a blood volume of
0.00457 m3? Report your answer in units of kilograms and
in units of pounds.
kg
lb

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