Chemistry, 17.03.2020 04:26 caitlyn73

Car batteries are often rated in "ampere-hours" or Ah. a.) Show that Ah has units of charge and that the value of 1 Ah is 3600 C. b.) A fully charged, heavy-duty battery is rated at 100 Ah and can deliver a current of 5.0 A steadily until depleted. What is the maximum time this battery can deliver current, assuming it isn't being charged? c.) How much charge will the battery deliver this time?

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Answer from: YoungTaco2247

a) See below

b) 20 hours

c) 360,000 C

Explanation:

Car batteries are often rated in

"Ampere-hours"

Which is written as

A*h (1)

Where:

A is the Ampere, the units of measurement of the current intensity. Since current is defined as

$I=\frac{q}{t}$

where q is the charge (measured in Coulombs) and t is the time (in seconds), this means that 1 Ampere is

$1A=\frac{1C}{1s}$ (2)

Moreover, h is the hour, the units of measurement of the time (1 hour = 3600 seconds), therefore

1 h = 3600 s (3)

Substituting (2) and (3) into eq.(1), we find that:

$1A\cdot h = (\frac{1C}{1s})\cdot (3600 s)=3600 C$

We know that the relationship between current intensity and charge is

$I=\frac{q}{t}$

where:

I is the current intensity

q is the charge delivered

t is the time elapsed

For the battery in this problem, we have:

q = 100*h is the total charge delivered

I = 5.0 A is the current delivered

Therefore, solving for t, we can find the time the battery delivers this current:

$t=\frac{q}{I}=\frac{100 A\cdot h}{5.0}=20 h$

So, 20 hours.

In this problem, we said that the charge of the battery is rated as

Q = 100 A*h

We want to convert this charge in SI units (Coulombs).

According to what we found in part a), we can use the conversion factor

$1A\cdot h = 3600 C$

To rewrite the charge of this battery in Coulombs; we get:

$Q=100 A\cdot h \cdot (3600)=360,000 C$

Therefore, the total charge delivered by the battery during the 20 hours at 5.0 A of current is 360,000 C.

Answer from: Quest

one state would change like louisiana to texas. thats a change

explanation:

Answer from: Quest

Mass is the amount of matter in an object. weight is the measurement of the pull of gravity on an object. say for example, you travel to the moon which has a different gravitational field compared to the gravitational field of earth. (gravitational fields: earth = 1, moon = 0.165) now when you are on the moon, the pull of gravity on you is different than on the earth. and as weight is the measurement of the pull of gravity on an object, that means yes, your weight can and will change on the moon. however, on the moon, on earth or even on jupiter, the amount of mass inside of you remains the same. meaning your physical mass remains constant. in conclusion it is possible for your weight to change as your mass remains constant.

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Car batteries are often rated in "ampere-hours" or A*h. a.) Show that A*h has units of charge and th...