Equations Flashcards
Group 1 Metal + Water
Metal Hydroxide + Hydrogen
Moles
Mass / Molar Mass
% Mass of an element in a compound
Atomic Mass * Number of Atoms (of element in compound) / Molar Mass (* 100)
% Yield
Actual Yield / Theoretical Yield
x 100
% Purity
Calculated Mass of Substance / Mass of impure substance
x 100
Acid + Metal
Salt + Hydrogen
Acid + Metal Oxide or Metal Hydroxide
Salt + Water
Acid + Metal Carbonate
Salt + CO2 + H2O
Density
Mass/Volume
Wave Speed
Frequency (Hz) * Wavelength (m)
1 Hz
= XXX
Distance
Speed * Time
Frequency
1 / Time Period
Average Speed (when acceleration is constant)
(U + V) / 2
Acceleration
(V - U) / t
Weight (N/kg or m/s/s)
Mass * G
Force
Mass x Acceleration
Work Done
Force * Distance
Power
Voltage * Current
AND
Work Done / time
Kinetic Energy
1/2 x Mass x Velocity^2
GPE
Mass x Gravity x Height
KE Gained =
GPE lost
Voltage
Current x Resistance
Work Done / Coulomb
Current
Coulomb / time
Power Loss
Current^2 x Resistance
Alpha Decay
Produces atom with 2 less neutrons and 2 less protons (He) + Gamma rays
Beta Decay
Releases an electron and gains a proton
Becquerel
1 nucleus decaying / Second
Energy
Mass x c^2
Where c = speed of light
(3 x 10^8)
1/8
0.125
1/9
0.1111111111111
% Change
(Change / Original) x 100
Compound Interest
Amount after n units of time
=
Initial Amount x
(1 + %change per unit of time / 100)^n units of time
Nth Term
dn + (a - d)
Surd multiplication
One surd x different surd is like square rooting the product of the two integers
Surd division
like square rooting the quotient of the integers
Mid point of line
Average of x, Average of y
Gradient
(Change in y) / (change in x)
Y-stretch
Y = kf(x)
Y-shift
Y = f(x) +/- a
X-Shift
Y = F(x-a)
X-Stretch
Y = f(kx)
Reflection on x-axis
Y = -f(x)
Reflection on y-axis
Y = f(-x)
Exterior Angle of triangle
Sum of opposite interior angles
Sum of exterior angles
360^0
Sum of Enterior Angles
(n - 2) x 180^o
Where n = number of sides
Exterior Angle
360^o / number of sides
Interior Angle
180 - Exterior Angle
Tessellation
360 / Interior Angle
How does scale factor affect sides, areas and volumes
Sides are n times bigger
Areas are n^2 times bigger
Volumes are n^3 times bigger
Area of a trapezium
1/2(a + b) x vertical height
Area of parallelogram
Base x Vertical Height
Area of Triangle
1/2 x base x height
Area of Circle
Pi x Radius^2
Area of a sector
x/360 x Area of Full Circle
Circumference
2 x pi x Radius
Length of Arc
X / 360 x Circumference
Surface Area of Cylinder
(2 x pi x radius x height)
+
(2 x pi x radius^2)
Surface Area of Hemisphere
2 x pi x radius^2
Surface Area of Sphere
4 x pi x radius^2
Volume of cuboids
Length x Width x Height
Volume of Triangular Prism
Cross Sectional Area x Length
Volume of Sphere
(4 x pi x radius^3) / 3
Volume of Cylinder
Pi x radius^2 x height
Atomic Mass
(X * %) + (Y * %) / 100
