Question

Suppose that a protein transports K+ ions across the membrane. Intracellular [K+] = 157 mM and extracellular [K+] = 4 mM, and plasma membrane V = 0.06 V, inside negative relative to outside. At 298K, consider transport of K+ ions into the cell.

Answer 1

To move 0.005 moles of sodium ions using active transport, we need to calculate the number of moles of ATP needed based on the amount of usable energy produced by 1 mole of ATP.

Step-by-step explanation:

Active transport involves using proteins and chemical energy stored in ATP to move ions against their concentration gradient. In this case, the question asks how many molecules of ATP would be needed to move 0.005 moles of sodium ions using active transport at standard conditions. To find the answer, we need to calculate the amount of usable energy in 1 mole of ATP and then determine how many moles of ATP are needed to produce enough usable energy to move 0.005 moles of sodium ions.

Each mole of ATP produces 2.05x10^18 J of usable energy, so we can calculate the number of moles of ATP needed using the equation:

moles of ATP = (0.005 Moles of Sodium ions) / (2.05x10^18 J of usable energy per mole of ATP)