The dihydrogen molecule can exist in either of two states: parahydrogen in which the nuclear spins are antiparallel giving the molecule a ground-state total spin angular momentum of zero; and orthohydrogen in which the nuclear spins are aligned giving the molecule a total spin angular momentum of 1 ħ and z-projections of spin s₂ = +1 ħ, 0, or 1 h. The transition between the two forms occurs very slowly in the absence of a catalyst. (a) An insulated, rigid box of volume 2V is prepared with n moles of dilute parahy- drogen gas held in one half of the box by a partition. The pressure is P and the temperature is T. The partition is suddenly removed and the gas fills the entire box. After equilibrium is reached, i. What is the new pressure? ii. What is the new temperature? iii. How much heat Q was added to or removed from the gas? - 1 of 2 - iv. What is the change in entropy? (b) An insulated, rigid box of volume 2V is prepared with n moles of dilute parahy- drogen gas held in each half of the box by a partition. The pressure is P and the temperature is T. The partition is suddenly removed and the gas mixes in the entire box. After equilibrium is reached, what is the change in entropy? (c) An insulated, rigid box of volume 2V is prepared with n moles of dilute parahy- drogen gas held in one half of the box by a partition. The other half of the box contains n moles of orthohydrogen. The pressure is P and the temperature is T. The partition is suddenly removed and the gas mixes in the entire box. After equilibrium is reached, what is the change in entropy? (d) Explain why changes in entropy may be calculated even if the system is not moving through equilibrium states. (e) At room temperature, where kBT is far above the energy difference between para- and orthohydrogen, and if you wait long enough for transitions to occur, what is the equilibrium ratio of the two forms of hydrogen.

Choose the letter corresponding to the appropriate graph

Picture/Diagram provided to solve question

Show all steps and provide picture if possible

Can you please answer question number 4 and show all of the steps

Need the correct answer to the question 2

Please show all calculations and type them out since I have bad eyesight and it is very difficult for me to read handwriting

IF YOU CAN NOT ANSWER BOTH PLEASE DO NOT RESPOND ALSO ALL ANSWERS NEED TO HAVE SIGN OF MAGNITIUDE AND BE IN SCIENTIFIC NOTATION USING E

Can you help with number 5 uploaded in the picture.      *This is not and will not be graded

Answer detailly  showing all steps