Formulas, Conversions

• CHARLE'S LAW - Constant Pressure

  • states that at constant pressure, the volume of a gas is directly proportional to its absolute temperature.

  $V₁ T₁ =$$V₂ T₂$

  
• BOYLE'S LAW - Constant Temperature

  • states that at constant temperature, the pressure of a gas is inversely proportional to its volume.


  $P_1V_1=$$P_2V_2$

  
• GAY-LUSSAC'S LAW - Constant Volume

  • States that the pressure of a gas is directly proportional to its temperature when the volume is held constant.


  $P₁ T₁ =$$P₂ T₂$

  
• PERFECT GAS

  • also known as the ideal gas, describes the behavior of an ideal gas under various conditions.

  $P₁V₁/T₁ =$$P₂V₂ /T₂$

  
• 1 horsepower


  476 Watts
• 334 Kj kg


  Latent heat fusion required to turn ice to liquid
• 273° K


  melting point of ice
• 0° K


  absolute zero temperature
• 4° C


  densed condition of water
• 760mm of Hg= 14.7 psi


  standard atmospheric pressure
• <'latex>1000 kgm^3</latex>

  density of water
• $1000 kg/m^3$


  density of water
• $4.19 kJ/kg°C$


  specific heat capacity of water
• 2.72


  Naperian Logarithm
• 1 Celsius


  -273.15° Kelvin
• Law of Sines
• Arithmetic Sequence - nth term 


  $aₙ =$$a₁ +$$(n - 1) *$$d$
• Arithmetic Sequence - sum of n terms

  $Sₙ =$$n/2 *$$(a₁ + aₙ)$
• Percentage


  % = (part/whole) * 100

  part = (percentage/100) * whole

  whole = (part/percentage) * 100
• Simple Interest


  $F=$$P(1+rt)$

  
• Compound Interest


  $A =$$P *$$(1 + r/n)^n*$$^t$

  
• Distance


  $d =$$√((x₂ - x₁)² +$$(y₂ - y₁)²)$

  
• Distance: point and a line


  $d =$$|Ax₀ +$$By₀ +$$C| / √(A² + B²)$
• Effective Rate

  $ER=$$(1+r/m)^m-1$

  
• Force, Pressure, Area


  $F=$$P*$$A$
• Rise, Slope, Horizontal distance


  $R=$$S×H$