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FORMULAS
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Density The mass of a substance contained in unit volume is its density (D). D = m/V Measuring of densities of substances is easier if we compare them with the density of some other substance of know density. Water is used for this purpose. The ratio of the density of the substance to that of water is called the Specific Gravity (SG) of the substance. SG = Dsubstance / Dwater The density of water is 1000 kg/m3 Pressure P = F/A |
Specific
Heat![]()
You may have
noticed that metals, for example copper, heat faster than water.
You would require 4186 J of heat to raise the temperature of
water by 1 degree Celsius. On the other hand 1 kg of copper would
zoom to this temperature after it receives only 387 J of heat. It
is known that every substance has a unique value of amount of
heat required to change the temperature of 1 kg of it by 1 degree
Celsius. This number is referred to as the specific heat of the
substance. Let Q be the heat transferred to m kg of a substance, thereby changing
its temperature by dT. The specific heat c of the
substance is defined as
c = Q/mdt
Juggle the expression, and we get the heat transferred from a body to its surroundings or the other way around. This is given by.
Q = m c dT
For example the heat required to increase the temperature of half a kg of water by 3 degrees Celsius can be determined using this formula. Here m, mass of water is 0.5 kg and the dt, the temperature rise = 3 deg C and we know the specific heat of water is 4186 J/kg. So here the heat required will be
Q = 0.5 x 4186 x 3 =6280 J
It is as simple as that !!
The table below gives the specific heat of some common substances
| J/kg. o C | cal/g. o C | |
| Aluminium | 900 | 0.215 |
| Copper | 387 | 0.0924 |
| Glass | 837 | 0.200 |
| Gold | 129 | 0.0308 |
| Ice | 2090 | 0.500 |
| Iron | 448 | 0.107 |
| Silver | 234 | 0.056 |
| Steam | 2010 | 0.480 |
| Water | 4186 | 1.00 |