Calculate the free energy of hydrolysis of ATP in a rat liver cell in which the ATP, ADP, AND Pi concentrations are 3.4, 1.3, and 4.8 nM, repectively. (ATP hydrolysis has delta G note= -30 kJ/mol)
Why a strong acid or base can denature an enzyme
-46.746
To calculate the free energy of hydrolysis of ATP in a rat liver cell, we can use the equation:
ΔG = ΔG° + RT ln(Q)
Where:
ΔG is the free energy change of the reaction
ΔG° is the standard free energy change
R is the gas constant (8.314 J/mol·K)
T is the temperature in Kelvin (assuming 298 K)
Q is the reaction quotient, given by [ADP][Pi]/[ATP]
First, let's convert the concentrations from nM to mol/L:
[ATP] = 3.4 nM = 3.4 × 10^(-9) M
[ADP] = 1.3 nM = 1.3 × 10^(-9) M
[Pi] = 4.8 nM = 4.8 × 10^(-9) M
Next, let's calculate the reaction quotient:
Q = [ADP][Pi]/[ATP] = (1.3 × 10^(-9) M) × (4.8 × 10^(-9) M) / (3.4 × 10^(-9) M)
Q = 2.35294
Now, we can substitute the given values into the equation:
ΔG = (-30 kJ/mol) + (8.314 J/mol·K) × (298 K) × ln(2.35294)
Using a calculator, we can calculate the ln(2.35294) and then solve for ΔG:
ΔG = -30 kJ/mol + (8.314 J/mol·K) × (298 K) × 0.858255
ΔG ≈ -30 kJ/mol + 2016.57 J/mol
ΔG ≈ 1986.57 J/mol
Therefore, the free energy of hydrolysis of ATP in a rat liver cell is approximately 1986.57 J/mol.
To calculate the free energy of hydrolysis of ATP in a rat liver cell, you can use the equation:
ΔG = ΔG° + RTln(Q)
Where:
ΔG = Free energy change
ΔG° = Standard free energy change (-30 kJ/mol in this case)
R = Gas constant (8.314 J/(mol·K))
T = Temperature in Kelvin (assume room temperature: 298 K)
ln = Natural logarithm
Q = Reaction quotient
First, convert the standard free energy change from kJ/mol to J/mol:
ΔG° = -30 kJ/mol = -30,000 J/mol
Next, calculate the reaction quotient (Q) using the concentrations of ATP, ADP, and Pi:
Q = [ADP][Pi]/[ATP] = (1.3 nM)(4.8 nM)/(3.4 nM)
Q ≈ 1.846
Now, substitute the values into the equation and solve for ΔG:
ΔG = -30,000 J/mol + (8.314 J/(mol·K))(298 K)ln(1.846)
After evaluating the equation, you will obtain the value for ΔG, which represents the free energy of hydrolysis of ATP in the rat liver cell under the given concentrations of ATP, ADP, and Pi.