One cell at work may break down 2 million (2 000 000) ATP molecules in one second. Some researchers estimate that the human body has about 10¹³ cells.
b. If ATP has a molar mass of 507 g/mole, how many grams of ATP are hydrolyzed in one day?

Question

One cell at work may break down 2 million (2 000 000) ATP molecules in one second. Some researchers estimate that the human body has about 10¹³ cells.

b. If ATP has a molar mass of 507 g/mole, how many grams of ATP are hydrolyzed in one day?

Accepted Answer

Welcome back everyone. One neuron may hydrolyze approximately 2.88 billion ATP molecules per minute. On average, the average human male brain is estimated to contain 86.0 billion neurons. If AC P has a molar mass of 507 g per mole, calculate the kilograms of ap hydrolyzed by neurons in the brain in a year. What we're going to do in this problem is simply use dimensional analysis to solve it. We're going to begin with our first conversion factor and this is 2.88 billion ATP molecules per minute. So billion essentially is represented by an exponent of 10, the power of mind. So we have 2.88 multiplied by its sensitive power of ninth. And we want to introduce the units, those are a TP molecules per minute and also per neuron because it says one neuron. So if we have another division, we can simply introduce it in the same denominator. And that would be the complete conversion factor. What we're going to do is simply multiply that by 86 0.0 billion neurons. So we have 86.0 multiplied by 10 the power of ninth neurons. And we can notice that first of all our neurons cancel each other out right from here, we want to calculate the ATP molecules hydrolyzed per year. What we're going to do is simply notice that we have molecules per minute, right? And we need kilograms per year. So first of all, let's convert the time and we have minutes on the bottom. So we need to include them on top. We can begin by using the conversion factor between minutes and hours. We know that one hour is 60 minutes. So now we can clearly see that menace cancel each other out. We have molecules per hour. Now we need molecules per day. So let's introduce hours on top days on the bottom, one day is 24 hours. So the hours cancel each other out. We now have molecules per day, let's carry on and convert it into molecules per year. So we need to introduce days on top and years on the bottom and one year is 365 days. So we can cancel days out. We have molecules per year and now we need kilograms per year. So we simply need to convert molecules into moles. First of all right. So what we're going to do is introduce a conversion factor that converts molecules into moles. And we know that one mole according to Avogadro's number is equal to 6.022 multiplied by 10 to the power of 23rd, right, that would be our conversion factor. It is simply avocado's number. Now, what do we have? Well, we can essentially cancel out the molecules which gives us most per year. And now that we have moles, we can convert into grams using the molar mass, we know that there are 507 g in one mole. So now moles cancel each other out. We have grams per year. And since we need kilograms, our final conversion factor would be kilograms divided by gram, right? We know that 1 g is equivalent to sense the power of negative third kilograms. But it would be more appropriate to say that 1 kg is equal to 10 to the third grams or 1000 g. And we can clearly see that grams cancel out and we end up with kilograms per year. And now when we perform all of this long multiplication and division, we end up with 109 kg, which is the final answer. Thank you for watching.

One cell at work may break down 2 million (2 000 000) ATP molecules in one second. Some researchers estimate that the human body has about 10¹³ cells.
b. If ATP has a molar mass of 507 g/mole, how many grams of ATP are hydrolyzed in one day?

Verified video answer for a similar problem:

Key Concepts

ATP Hydrolysis

Molar Mass

Cellular Count and Scaling

One cell at work may break down 2 million (2 000 000) ATP molecules in one second. Some researchers estimate that the human body has about 1013 cells.b. If ATP has a molar mass of 507 g/mole, how many grams of ATP are hydrolyzed in one day?

Verified video answer for a similar problem:

Key Concepts

ATP Hydrolysis

Molar Mass

Cellular Count and Scaling

One cell at work may break down 2 million (2 000 000) ATP molecules in one second. Some researchers estimate that the human body has about 10¹³ cells.
b. If ATP has a molar mass of 507 g/mole, how many grams of ATP are hydrolyzed in one day?