Calculate Accumulator Capacity usable volume per bottle.

To complete this we will use Boyle’s Law for ideal gases to find, which I have listed below,

Boyle’s Law = P1 V1 = P2 V2

There are 3 steps we must be take in order to complete this calculation. I have listed these steps as well as some general guidelines for calculation purposes below,

In general, we can consider the following data as usable guidelines in calculating Accumulator Capacity usable volume per bottle:

- Volume per bottle = 10 gallons

- Precharge pressure = 1000 psi

- Max pressure = 3000 psi

- Min pressure remaining post activation = 1200 psi

- Pressure gradient of hydraulic fluid = 0.445 psi/ft

REMEMBER – The above are ONLY guidelines, these can change!

- Step 1 is to determine the necessary amount of hydraulic fluid necessary to increase pressure from a precharge to a MINIMUM.

Boyle’s Law = P1 V1 = P2 V2

So,

a. 1000 psi x 10 gal = 1200 psi x V2

b. 10,000 / 1200 = V2

c. V2 = 8.33 (nitrogen is compressed from 10.0 gal to 8.33 gal)

d. Then, 10.0 — 8.33 = 1.67 gallons of hydraulic fluid per bottle.

- Step 2 is to determine the necessary amount of hydraulic fluid necessary to increase pressure from a precharge to a

MAXIMUM.

Boyle’s Law = P1 V1 = P2 V2

So,

a. 1000 psi x 10 gals = 3000 psi x V2

b. 10,000 / 3000 = V2

c. V2 = 3.33 (nitrogen is compressed from 10 gal to 3.33 gal)

d. Then, 10.0 — 3.33 = 6.67 gallons of hydraulic fluid per bottle.

-Step 3 is to find the usable volume per bottle, which can be done by using the following formula:

Useable volume per bottle = Total hydraulic fluid per bottle — unused hydraulic fluid per bottle

So,

Useable volume per bottle = 6.67 — 1.67

Useable volume per bottle = 5 gallons