(a) The pH of the E coli cytosol is about 7.6-7.8 . How many free protons per cell does this equ

step 1 Hello there, I see we have two parts to this question. So let's start with the first one. The fi

(a) The pH of the E coli cytosol is about 7.6-7.8 . How many...

Key Concepts

Cellular Compartmentalization

Understanding the differences between cellular compartments, such as the cytosol and the periplasmic space, is important because each may have distinct chemical environments including pH. This concept of compartmentalization influences the local concentration of ions and molecules and thereby affects cellular functions and reactions.

Volume and Molar Quantity Relationship

Once the proton concentration in moles per unit volume is known, estimating the total number of protons requires multiplying this concentration by the volume of the compartment in question. This integration of concentration over volume enables the calculation of the total amount of a substance, whether it be in a cellular compartment, a reaction vessel, or any defined space.

pH and Proton Concentration

pH is defined as the negative logarithm (base 10) of the hydrogen ion concentration in a solution. This concept is critical for converting a given pH value into the molar concentration of protons, which is foundational for further quantitative analyses in many biological and chemical contexts.

Avogadro’s Number

Avogadro's number (approximately 6.02 x 10^23) is the constant used to convert between moles and the actual number of discrete particles, such as atoms or ions. In this context, it allows the translation of a mole-based measurement of protons into the exact number of proton entities, which is essential for understanding biochemical mechanisms at the molecular level.

Transcript

00:01 Hello there, i see we have two parts to this question.

00:05 So let's start with the first one.

00:06 The first one is the ph of the coli cytosol is about 7 .6 to 7 .8.

00:16 So we'll bring, let's write that down because the first clue they bring up is the ph of the coli cytosol is 7 .6 to 7 .8.

00:33 That's the point.

00:35 And then they want to know how many free protons per cell does this equate to.

00:45 So they want to know how many free protons per cell does it equate to.

00:58 So how are we going to solve this? well let's start with the first part when it comes to solving for the ph.

01:05 So we know that ph is equal to negative log times our hydrogen.

01:17 So the number we'll use, let's use 7 .6.

01:26 Okay so how we're going to go about this, we're going to write down 7 .6 equals negative log times our hydrogen.

01:39 So we're going to write down for our antilog, so our antilog of negative 7 .6.

01:55 So we're going to put a negative in front of it because that's our antilog because we move, basically the log comes over that.

02:01 Yeah and that will equal to our hydrogen.

02:07 Okay so with that, that would be our hydrogen plus equal to our 2 .5 times 10 minus 8 ions.

02:29 My bad, i wrote really small.

02:31 So this would be your number of free protons.

02:44 So that's how you solve for part a.

02:49 So you just do the antilog.

02:51 So if you don't know how to do that in your calculator, you just get your calculator and you just hit the second...

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