Assume 4 identical peptide chains assemble into a single
sheet.
a) Each peptide has 8 residues, and each residue can take on 3 conformations independently
when the peptide is free (before assembly). The assembled peptides have no conformational
degree of freedom (W=1).
b) 25 h-bonds are formed in the assembled structure, with each h-bond contributing Δ = -3.00
kJ/mol in stabilizing the assembly.
c) 30% of all residues are hydrophobic (HP) and each of the HP residue have 3 water molecules
in contact when the peptide is free. All these water molecules will be release into bulk upon
assembly and water configuration increases when they move from the HP residue to bulk
water (

= 4). We are ignoring the translational and rotational entropy change during
the assembly.
Please compute the standard state
,
,
and
of the assembly process.
The “Δ" means (assembly – free). Use T=300.0 K. Round the S (kJ/mol/K) to 3 decimal places. H
and G (kJ/mol) to 1 decimal place.

I think I got the enthalpy but I'm not sure on the entropies

Answers

Answer 1

Note that the standard state values are ΔG = -2.63 kJ/mol, ΔH = 75.0 kJ/mol, and ΔS = -0.215 J/mol/K.

What is the explanation for the above response?

To calculate the standard state ΔG, ΔH, and ΔS of the assembly process, we need to use the following equations:

ΔG = ΔH - TΔS

ΔS = ΔS_sys + ΔS_surr

ΔS_sys = R ln (W_f / W_i)

ΔS_surr = -ΔH / T

where R is the gas constant (8.314 J/mol/K), T is the temperature in Kelvin, W_f and W_i are the final and initial states' probabilities, respectively.

a) The initial state has 4 peptides in free form with 3 conformations each. Thus, W_i = 3^32^4. The final state has a single sheet with W_f = 1. Therefore, ΔS_sys = R ln (1 / (3^32^4)) = -36.732 J/mol/K.

b) The enthalpy change ΔH is given as -25 h-bonds * (-3.00 kJ/mol/h-bond) = 75.0 kJ/mol.

c) For each of the 84=32 residues, there are 30% hydrophobic, which is 9.6 HP residues. Each HP residue has 3 water molecules, so there are 39.6=28.8 water molecules released. The water configuration increases by a factor of 4 when moving from HP residue to bulk water, so ΔS_sys = R ln (4^28.8) = 283.295 J/mol/K.

Using the values of ΔH and ΔS_sys, we can now calculate the standard state ΔG as:

ΔG = ΔH - TΔS

= 75.0 kJ/mol - (300 K * 283.295 J/mol/K)

= -2.63 kJ/mol

Therefore, the standard state values are ΔG = -2.63 kJ/mol, ΔH = 75.0 kJ/mol, and ΔS = -0.215 J/mol/K.

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Related Questions

Show the Hamming code encodings of the following bit strings: 0100: 0010: The following encodings contain an error. Show the corrected 7-bit encodings: 1110110: 1101110:

Answers

The full Hamming code for 1101110 is:
1101110 -> 0011101

To show the Hamming code encodings of the bit strings 0100 and 0010, we first need to determine how many parity bits we need to add. For a data word of n bits, the number of parity bits required is the smallest integer r that satisfies the inequality 2^r ≥ n + r + 1.

For 4-bit data words like 0100 and 0010, we need to add 3 parity bits, giving us a 7-bit Hamming code. The parity bits are inserted at positions that are powers of 2, with position 1 being the least significant bit.

So the Hamming code encodings for 0100 and 0010 would be:

0100 -> 0111001
0010 -> 0011011

To show the corrected 7-bit encodings for the bit strings 1110110 and 1101110, we need to first check for errors. We can do this by calculating the parity bits using the same method as above, and comparing them to the received bits.

For 1110110, the calculated parity bits are:

p1 = 1 ⊕ 1 ⊕ 0 ⊕ 1 = 1
p2 = 1 ⊕ 0 ⊕ 1 ⊕ 0 = 0
p3 = 1 ⊕ 1 ⊕ 1 ⊕ 0 = 1
p4 = 1 ⊕ 1 ⊕ 1 ⊕ 0 = 1
p5 = 0 ⊕ 1 ⊕ 1 ⊕ 0 = 0
p6 = 1 ⊕ 1 ⊕ 0 ⊕ 1 = 1
p7 = 1 ⊕ 1 ⊕ 0 ⊕ 1 = 1

So the full Hamming code for 1110110 is:

1110110 -> 1011011

We can see that there is an error in the 5th bit, which should be a 1 instead of a 0. To correct this error, we simply flip the 5th bit:

1110110 -> 1011111 (corrected)

For 1101110, the calculated parity bits are:

p1 = 0 ⊕ 1 ⊕ 0 ⊕ 1 = 0
p2 = 0 ⊕ 1 ⊕ 1 ⊕ 0 = 0
p3 = 1 ⊕ 1 ⊕ 0 ⊕ 1 = 1
p4 = 1 ⊕ 1 ⊕ 0 ⊕ 1 = 1
p5 = 1 ⊕ 1 ⊕ 1 ⊕ 0 = 1
p6 = 0 ⊕ 1 ⊕ 1 ⊕ 0 = 0
p7 = 1 ⊕ 1 ⊕ 1 ⊕ 0 = 1

We can see that there is an error in the 2nd bit, which should be a 1 instead of a 0. To correct this error, we simply flip the 2nd bit:

1101110 -> 1111101 (corrected)

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Tech a says that when replacing the clock spring, you should turn it all the way to either end and then install it in the steering column. tech b says that clock springs are used to return the steering wheel to its centered position. who is correct

Answers

Both technicians are partially correct, but they are describing different aspects of the clock spring's function.

Technician A is correct in stating that the clock spring should be turned all the way to either end before installation. This is to ensure that the clock spring is properly centered and has the correct amount of tension to function properly.

Technician B is also correct in stating that the clock spring is used to return the steering wheel to its centered position. The clock spring is responsible for maintaining electrical connections to components such as the horn and airbag while allowing the steering wheel to turn freely. It does this by using a coiled spring that can rotate with the steering wheel while maintaining electrical contact.

Therefore, both technicians are correct, but they are describing different aspects of the clock spring's function and installation process.

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