Equations Flashcards

1
Q

Group 1 Metal + Water

A

Metal Hydroxide + Hydrogen

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2
Q

Moles

A

Mass / Molar Mass

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3
Q

% Mass of an element in a compound

A

Atomic Mass * Number of Atoms (of element in compound) / Molar Mass (* 100)

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4
Q

% Yield

A

Actual Yield / Theoretical Yield

x 100

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5
Q

% Purity

A

Calculated Mass of Substance / Mass of impure substance

x 100

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6
Q

Acid + Metal

A

Salt + Hydrogen

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7
Q

Acid + Metal Oxide or Metal Hydroxide

A

Salt + Water

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8
Q

Acid + Metal Carbonate

A

Salt + CO2 + H2O

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9
Q

Density

A

Mass/Volume

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10
Q

Wave Speed

A

Frequency (Hz) * Wavelength (m)

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11
Q

1 Hz

A

= XXX

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12
Q

Distance

A

Speed * Time

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13
Q

Frequency

A

1 / Time Period

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14
Q

Average Speed (when acceleration is constant)

A

(U + V) / 2

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15
Q

Acceleration

A

(V - U) / t

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16
Q

Weight (N/kg or m/s/s)

A

Mass * G

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17
Q

Force

A

Mass x Acceleration

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18
Q

Work Done

A

Force * Distance

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19
Q

Power

A

Voltage * Current

AND

Work Done / time

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20
Q

Kinetic Energy

A

1/2 x Mass x Velocity^2

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21
Q

GPE

A

Mass x Gravity x Height

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22
Q

KE Gained =

A

GPE lost

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23
Q

Voltage

A

Current x Resistance

Work Done / Coulomb

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24
Q

Current

A

Coulomb / time

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25
Q

Power Loss

A

Current^2 x Resistance

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26
Q

Alpha Decay

A

Produces atom with 2 less neutrons and 2 less protons (He) + Gamma rays

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27
Q

Beta Decay

A

Releases an electron and gains a proton

28
Q

Becquerel

A

1 nucleus decaying / Second

29
Q

Energy

A

Mass x c^2

Where c = speed of light
(3 x 10^8)

30
Q

1/8

A

0.125

31
Q

1/9

A

0.1111111111111

32
Q

% Change

A

(Change / Original) x 100

33
Q

Compound Interest

A

Amount after n units of time

=

Initial Amount x

(1 + %change per unit of time / 100)^n units of time

34
Q

Nth Term

A

dn + (a - d)

35
Q

Surd multiplication

A

One surd x different surd is like square rooting the product of the two integers

36
Q

Surd division

A

like square rooting the quotient of the integers

37
Q

Mid point of line

A

Average of x, Average of y

38
Q

Gradient

A

(Change in y) / (change in x)

39
Q

Y-stretch

A

Y = kf(x)

40
Q

Y-shift

A

Y = f(x) +/- a

41
Q

X-Shift

A

Y = F(x-a)

42
Q

X-Stretch

A

Y = f(kx)

43
Q

Reflection on x-axis

A

Y = -f(x)

44
Q

Reflection on y-axis

A

Y = f(-x)

45
Q

Exterior Angle of triangle

A

Sum of opposite interior angles

46
Q

Sum of exterior angles

A

360^0

47
Q

Sum of Enterior Angles

A

(n - 2) x 180^o

Where n = number of sides

48
Q

Exterior Angle

A

360^o / number of sides

49
Q

Interior Angle

A

180 - Exterior Angle

50
Q

Tessellation

A

360 / Interior Angle

51
Q

How does scale factor affect sides, areas and volumes

A

Sides are n times bigger

Areas are n^2 times bigger

Volumes are n^3 times bigger

52
Q

Area of a trapezium

A

1/2(a + b) x vertical height

53
Q

Area of parallelogram

A

Base x Vertical Height

54
Q

Area of Triangle

A

1/2 x base x height

55
Q

Area of Circle

A

Pi x Radius^2

56
Q

Area of a sector

A

x/360 x Area of Full Circle

57
Q

Circumference

A

2 x pi x Radius

58
Q

Length of Arc

A

X / 360 x Circumference

59
Q

Surface Area of Cylinder

A

(2 x pi x radius x height)

+

(2 x pi x radius^2)

60
Q

Surface Area of Hemisphere

A

2 x pi x radius^2

61
Q

Surface Area of Sphere

A

4 x pi x radius^2

62
Q

Volume of cuboids

A

Length x Width x Height

63
Q

Volume of Triangular Prism

A

Cross Sectional Area x Length

64
Q

Volume of Sphere

A

(4 x pi x radius^3) / 3

65
Q

Volume of Cylinder

A

Pi x radius^2 x height

66
Q

Atomic Mass

A

(X * %) + (Y * %) / 100