3. Consider a vessel of nitrogen gas in equilibrium with the surroundings at 300 K. Assume...
3. Consider a vessel of nitrogen gas in equilibrium with the surroundings at 300 K. Assume ideal gas behavior. (a) If you were to measure the speed of a nitrogen molecule, what speed are you most likely to find? (b) How fast does a nitrogen molecule need to be traveling to be among the top 1%? (Hint: Use the Maxwell-Boltzmann distribution.)
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3. Consider a vessel of nitrogen gas in equilibrium with the
surroundings at 300 K. Assume...
(d) A gas has P-105 Pa. V-0.3 m3 and T--300 K. The area un- der the...
(d) A gas has P-105 Pa. V-0.3 m3 and T--300 K. The area un- der the Maxwell-Boltzmann distribution (as described in the notes) between v 0 → 1730 m s-1 is 0.81. Calculate how many molecules have speed v1730 ms-1
Consider gas molecules in the earth's atmosphere which obey the Maxwell speed distribution law, m 3/2...
Consider gas molecules in the earth's atmosphere which obey the Maxwell speed distribution law, m 3/2 P(v) = 41 27 KT 2KT Here m is the mass of the molecule, v is the speed and k is Boltzmann's constant. (a) Find the temperature T, such that the most probable speed is sufficient to escape the earth's gravitational pull. (b) What is this temperature for hydrogen gas?
3. Consider the potential combustion of nitrogen gas with oxygen to produce nitrogen monoxide. The K...
3. Consider the potential combustion of nitrogen gas with oxygen to produce nitrogen monoxide. The K for this reaction is 4.8 x 10-31 at 25°C. (a) Write the balanced chemical reaction for this equilibrium (b) At equilibrium, what species would be predominately present in a reaction flask (c) In the atmosphere at 25°C and latm pressure, the concentration of nitrogen gas is 0.0330 M and that of oxygen is 0.00810 M. Using these as initial concentrations, determine the concentration of...
Suppose you had an ideal gas of molecules of mass m that can move only in one dimension. The gas ...
Suppose you had an ideal gas of molecules of mass m that can move only in one dimension. The gas is in thermal equilibrium at a temperature T. Wnte an expression proportional to the probability of finding a molecule with velocity i. bive an expression Diy fortheprobablity density for molecules of speed v in the gas. Hint: this is much easier to derive than in the three dimensional case. For each v how many speeds vare possible in one dimension?...
5. Consider the following process. Take 1 mol of monatomic ideal gas at 1 L and 300 K and heat it to 600 K while expand...
5. Consider the following process. Take 1 mol of monatomic ideal gas at 1 L and 300 K and heat it to 600 K while expanding the volume to 2 L. Calculate the entropy for the system, surroundings, and the universe. (Assume the simplest non-reversible path for this process.)
Helium gas is in thermal equilibrium with liquid helium at 4.32 K. Even though it is...
Helium gas is in thermal equilibrium with liquid helium at 4.32 K. Even though it is on the point of condensation, model the gas as ideal and determine the most probable speed of a helium atom (mass = 6.64 x 10- 27 kg) in it. m/s Need Help? Read It
3. Nitrogen gas is stored at a temperature of 200 K and a specific volume of...
3. Nitrogen gas is stored at a temperature of 200 K and a specific volume of 0,004 m3/kg. Determine the pressure on the basis of (a) the ideal gas equation of state (b) assuming a real gas behavior with the compressibility factor 0.8 (c) the van der Waals equation of state (Hint: Critical point properties of Nitrogen from Table A-1 (page 882) are: R=0.2968 kJ/kg, To - 126.2 k, P. - 3.39 Mpa. Using these values, a. 27R'T/64P,-0.175 m.kPa/kg?bRT/8P -...
Question 16 10 pts Nitrogen gas (N2) behaves as an ideal gas at normal temperatures. Consider...
Question 16 10 pts Nitrogen gas (N2) behaves as an ideal gas at normal temperatures. Consider a 5.00L tank filled with 3.50 mol at room temperature (25.0°C). (R = 0.08206 L'atm/mol-K) • What is the pressure of the tank? Pressure atm • The tank is left slightly open and 1.50 moles of the gas escapes. What is the new pressure inside of the tank? (Hint: how much gas is left in the tank?) Pressure atm • The tank has a...
3. Consider a hypothetical non-ideal gas of particles confined to exist along a line in one dimension. The particles are in thermal equilibrium but due to their complex interactions the velocity...
3. Consider a hypothetical non-ideal gas of particles confined to exist along a line in one dimension. The particles are in thermal equilibrium but due to their complex interactions the velocity distribution function is not Maxwellian, but rather has the form: where C and vo are constants. Note that v is the velocity (not the speed) and can take on negative values. Express your answers below in terms of vo- a. Solve for the constant C b. Draw a sketch...
Consider the following gas-state dimerization at 300k where M is some molecule. You have observed the...
Consider the following gas-state dimerization at 300k where M
is some molecule. You have observed the electronic absorption
spectra are efficiently distinctly so that the partial
pressures.
please write a detailed solution to Part A and Part B.
1. Consider the following gas-state dimerization reaction at 300 K: 2 M(g) M2(g) where M is some molecule. You have observed that the electronic absorption spectra of M(g) and Mz(g) are sufficiently distinct so that the partial pressures of M and M2...
(d) A gas has P-105 Pa. V-0.3 m3 and T--300 K. The area un- der the Maxwell-Boltzmann distribution (as described in the notes) between v 0 → 1730 m s-1 is 0.81. Calculate how many molecules have speed v1730 ms-1
Consider gas molecules in the earth's atmosphere which obey the Maxwell speed distribution law, m 3/2 P(v) = 41 27 KT 2KT Here m is the mass of the molecule, v is the speed and k is Boltzmann's constant. (a) Find the temperature T, such that the most probable speed is sufficient to escape the earth's gravitational pull. (b) What is this temperature for hydrogen gas?
3. Consider the potential combustion of nitrogen gas with oxygen to produce nitrogen monoxide. The K for this reaction is 4.8 x 10-31 at 25°C. (a) Write the balanced chemical reaction for this equilibrium (b) At equilibrium, what species would be predominately present in a reaction flask (c) In the atmosphere at 25°C and latm pressure, the concentration of nitrogen gas is 0.0330 M and that of oxygen is 0.00810 M. Using these as initial concentrations, determine the concentration of...
Suppose you had an ideal gas of molecules of mass m that can move only in one dimension. The gas is in thermal equilibrium at a temperature T. Wnte an expression proportional to the probability of finding a molecule with velocity i. bive an expression Diy fortheprobablity density for molecules of speed v in the gas. Hint: this is much easier to derive than in the three dimensional case. For each v how many speeds vare possible in one dimension?...
5. Consider the following process. Take 1 mol of monatomic ideal gas at 1 L and 300 K and heat it to 600 K while expanding the volume to 2 L. Calculate the entropy for the system, surroundings, and the universe. (Assume the simplest non-reversible path for this process.)
Helium gas is in thermal equilibrium with liquid helium at 4.32 K. Even though it is on the point of condensation, model the gas as ideal and determine the most probable speed of a helium atom (mass = 6.64 x 10- 27 kg) in it. m/s Need Help? Read It
3. Nitrogen gas is stored at a temperature of 200 K and a specific volume of 0,004 m3/kg. Determine the pressure on the basis of (a) the ideal gas equation of state (b) assuming a real gas behavior with the compressibility factor 0.8 (c) the van der Waals equation of state (Hint: Critical point properties of Nitrogen from Table A-1 (page 882) are: R=0.2968 kJ/kg, To - 126.2 k, P. - 3.39 Mpa. Using these values, a. 27R'T/64P,-0.175 m.kPa/kg?bRT/8P -...
Question 16 10 pts Nitrogen gas (N2) behaves as an ideal gas at normal temperatures. Consider a 5.00L tank filled with 3.50 mol at room temperature (25.0°C). (R = 0.08206 L'atm/mol-K) • What is the pressure of the tank? Pressure atm • The tank is left slightly open and 1.50 moles of the gas escapes. What is the new pressure inside of the tank? (Hint: how much gas is left in the tank?) Pressure atm • The tank has a...
3. Consider a hypothetical non-ideal gas of particles confined to exist along a line in one dimension. The particles are in thermal equilibrium but due to their complex interactions the velocity distribution function is not Maxwellian, but rather has the form: where C and vo are constants. Note that v is the velocity (not the speed) and can take on negative values. Express your answers below in terms of vo- a. Solve for the constant C b. Draw a sketch...
Consider the following gas-state dimerization at 300k where M
is some molecule. You have observed the electronic absorption
spectra are efficiently distinctly so that the partial
pressures.
please write a detailed solution to Part A and Part B.
1. Consider the following gas-state dimerization reaction at 300 K: 2 M(g) M2(g) where M is some molecule. You have observed that the electronic absorption spectra of M(g) and Mz(g) are sufficiently distinct so that the partial pressures of M and M2...
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