Question

Neon gas (a monatomic gas) and hydrogen gas (a diatomic gas) are both held at constant...

Neon gas (a monatomic gas) and hydrogen gas (a diatomic gas) are both held at constant volume in separate containers. Each container contains the same number of moles n of each gas. You find that it takes an input of 300 J of heat to increase the temperature of the hydrogen by 2.50°C.

Part A

How many modes does a single hydrogen gas molecule have? (Assume the vibrational modes are "frozen out").

3, all rotational kinetic
6, 3 translational kinetic and 3 rotational kinetic
2, all rotational kinetic
3, all translational kinetic
5, 3 translational kinetic and 2 rotational kinetic

Part B

Use your answer to part A) and the expression for the internal energy of a gas to find the number of moles in the gas.

n   = ? moles

Part C

If you transfer the same amount of heat (300 J) into the container of neon (which has the same number of moles as the hydrogen container), how will the temperature change in the neon gas compare to the temperature change in the hydrogen gas?

They will be the same, because they both contain the same number of moles.
The neon will change temperature by less, because hydrogen molecules have less mass than neon molecules.
The neon will change temperature by less, because neon has more modes than hydrogen.
The neon will change temperature by less, because neon has less modes than hydrogen.
They will be the same, because they both gained the same amount of heat energy.
The neon will change temperature by more, because neon has more modes than hydrogen.
The neon will change temperature by more, because neon has less modes than hydrogen.

Part D

Solve for the numerical value of the temperature increase of the neon gas if you transfer 300 J of heat. Check that you answer matches with part C)!

Δ TNe   = ?    ∘C

Homework Answers

Answer #1

(A) It will be three translational (motion along x,y,z) and 2 rotational (rotation about two axes perpendicular to the axis of molecule

(B) Accroding to equipartition of energy, each degree of freedom has 0.5kT hence for 5 degree of freedom have

(C) Neon has high raise in temperature as it has Less degree of freedon or modes

(d) Molar heat capacity at constant volme for H2 will be

While for Neon, it will be

Let the raise in temperature of Hydroge is then

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
12a. Two moles of an ideal gas are placed in a container whose volume is 3.7...
12a. Two moles of an ideal gas are placed in a container whose volume is 3.7 x 10-3 m3. The absolute pressure of the gas is 7.2 x 105 Pa. What is the average translational kinetic energy of a molecule of the gas? Number Entry field with incorrect answer now contains modified data Units Entry field with correct answer b. Two ideal gases have the same mass density and the same absolute pressure. One of the gases is helium (He),...
Calculate the temperature ? of a sample of gas when the average translational kinetic energy of...
Calculate the temperature ? of a sample of gas when the average translational kinetic energy of a molecule in the sample is 8.15×10−21 J. ?= ________K What is the total translational kinetic energy ?trans of all the molecules of this sample when it contains 2.15 moles of gas? ?trans= ________J A cylinder which is in a horizontal position contains an unknown noble gas at 54700 Pa and is sealed with a massless piston. The piston is slowly, isobarically moved inward...
An ideal monatomic gas is contained in a vessel of constant volume 0.330 m3. The initial...
An ideal monatomic gas is contained in a vessel of constant volume 0.330 m3. The initial temperature and pressure of the gas are 300 K and 5.00 atm, respectively. The goal of this problem is to find the temperature and pressure of the gas after 24.0 kJ of thermal energy is supplied to the gas. (a) Use the ideal gas law and initial conditions to calculate the number of moles of gas in the vessel. Your response differs from the...
An ideal monatomic gas is contained in a vessel of constant volume 0.400 m3. The initial...
An ideal monatomic gas is contained in a vessel of constant volume 0.400 m3. The initial temperature and pressure of the gas are 300 K and 5.00 atm, respectively. The goal of this problem is to find the temperature and pressure of the gas after 18.0 kJ of thermal energy is supplied to the gas. (a) Use the ideal gas law and initial conditions to calculate the number of moles of gas in the vessel. 80.99 Correct: Your answer is...
Three moles of an ideal monatomic gas expand at a constant pressure of 2.90atm : the...
Three moles of an ideal monatomic gas expand at a constant pressure of 2.90atm : the volume of the gas changes from 3.30*10^-2m^3 to 4.50*10^-2m^3. Part A, Calculate the initial temperature of the gas. Part B, Calculate the final temperature of the gas. Part C, Calculate the amount of work the gas does in expanding. Part D, Calculate the amount of heat added to the gas. Part E, Calculate the change in internal energy of the gas.
The number of moles in a sample of diatomic gas molecules is such that nR =...
The number of moles in a sample of diatomic gas molecules is such that nR = 300 J/K. The initial volume of this sample of gas is Va, and its initial temperature is Ta =250 K. The volume of this sample of gas is doubled (Vb =2 Va) in a constant pressure (isobaric) process and its temperature increases to Tb. What is the change in entropy DS of this gas sample as a result of the isobaric expansion to a...
The rms (root-mean-square) speed of a diatomic hydrogen molecule at 50∘C is 2000 m/s. Note that...
The rms (root-mean-square) speed of a diatomic hydrogen molecule at 50∘C is 2000 m/s. Note that 1.0 mol of diatomic hydrogen at 50∘C has a total translational kinetic energy of 4000 J. Part B The total translational kinetic energy of 1.0 mole of diatomic oxygen at 50∘C is: Choose the correct total translational kinetic energy. View Available Hint(s) Choose the correct total translational kinetic energy. (16)(4000J)=64000J (4)(4000J)=16000J 4000J (14)(4000J)=1000J (116)(4000J)=150J none of the above Part C The temperature of the...
Three moles of a monatomic ideal gas are heated at a constant volume of 2.90 m3....
Three moles of a monatomic ideal gas are heated at a constant volume of 2.90 m3. The amount of heat added is 5.10 103 J. (a) What is the change in the temperature of the gas? _____K (b) Find the change in its internal energy. _____J (c) Determine the change in pressure. _____Pa
Under constant pressure, the temperature of 1.70 mol of an ideal monatomic gas is raised 15.5...
Under constant pressure, the temperature of 1.70 mol of an ideal monatomic gas is raised 15.5 K. (a) What is the work W done by the gas? J (b) What is the energy transferred as heat Q? J (c) What is the change ΔEint in the internal energy of the gas? J (d) What is the change ΔK in the average kinetic energy per atom? J
13)One mole of neon gas is heated from 358 K to 426 K at constant pressure....
13)One mole of neon gas is heated from 358 K to 426 K at constant pressure. Note that neon has a molar specific heat of c = 20.79 J/mol · K for a constant–pressure process. (a) Calculate the energy Q transferred to the gas. kJ (b) Calculate the change in the internal energy of the gas. kJ (c) Calculate the work done on the gas. kJ
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT