D l, Z l – HP 33s User Manual

Page 114

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7–4

Solving

Equations

Example:

Solving the Ideal Gas Law Equation.

The Ideal Gas Law describes the relationship between pressure, volume,
temperature, and the amount (moles) of an ideal gas:

P

× V = N × R × T

where P is pressure (in atmospheres or N/m

2

), V is volume (in liters), N is the

number of moles of gas, R is the universal gas constant (0.0821 liter–atm/mole–K
or 8.314 J/mole–K), and T is temperature (Kelvins: K=°C + 273.1).

Enter the equation:

Keys:

Display:

Description:

| H L

P

z

º¾

Selects Equation mode
and starts the equation.

L

V

| d

L

N

z

L

R

z L

T



º#/ºº!¾

‘

º#/ºº!

Terminates and displays
the equation.

| 

/ 
/ 

Checksum and length.

A 2–liter bottle contains 0.005 moles of carbon dioxide gas at 24°C. Assuming
that the gas behaves as an ideal gas, calculate its pressure. Since Equation mode
is turned on and the desired equation is already in the display, you can start
solving for P:

Keys:

Display:

Description:



P

#@
value

Solves for P; prompts for
V

.

2

g

@
value

Stores 2 in V; prompts for
N

.

.005

g

@
value

Stores .005 in N;
prompts for R.

.0821

g

!@
value

Stores .0821 in R;
prompts for T.

24

‘

273.1

›

!@
 ) 

Calculates T (Kelvins).

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