Neurons are components of the nervous system of the body that transmit signals as electrical impulses travel along their length. These impulses propagate when charge suddenly rushes into and then out of a part of the neutron called an axon. Measurements have shown that during the inflow part of this cycle, approx. 5.6 * 10^11 Na+ (sodium ions) per meter, each with charge +e enter the axon. How many coulombs of charge enter a 1.5 cm length of the axon during the process?

To find the number of coulombs of charge entering a 1.5 cm length of the axon during the process, we need to convert the given length into meters.

1 meter = 100 centimeters

Therefore, 1.5 cm = 1.5/100 = 0.015 meters

The number of sodium ions entering per meter is given as 5.6 * 10^11.

Now, we can calculate the total number of sodium ions entering the 1.5 cm length of the axon:

Number of sodium ions entering = (5.6 * 10^11 ions/m) * (0.015 m)

= 8.4 * 10^9 ions

Since each sodium ion carries a charge of +e, and the charge of an electron is -1.6 * 10^-19 coulombs, we can convert the number of ions to coulombs:

Number of coulombs of charge = (8.4 * 10^9 ions) * (+1.6 * 10^-19 C/ion)

= 13.44 * 10^-10 C

= 1.344 * 10^-9 C

Therefore, approximately 1.344 * 10^-9 coulombs of charge enter a 1.5 cm length of the axon during the process.

To calculate the total charge that enters the axon during the process, we need to consider the number of sodium ions and the charge of each ion.

Given:
Number of Sodium ions (Na+) per meter = 5.6 * 10^11
Charge of each Sodium ion (e) = +1.6 * 10^-19 C (Coulombs)
Length of the axon = 1.5 cm = 0.015 m

To find the total charge, we can multiply the number of ions by the charge of each ion.

Total charge = (Number of ions) * (Charge of each ion)

Converting 1.5 cm to meters:
Length of the axon = 0.015 m

Calculating the total charge:
Total charge = (5.6 * 10^11) * (1.6 * 10^-19)

Multiplying the values:
Total charge = 8.96 * 10^-8 C (Coulombs)

Therefore, during the process, approximately 8.96 x 10^-8 Coulombs of charge enter a 1.5 cm length of the axon.

3566 cm