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Physics. Topic 2

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

Physics. Topic 1

One dimensional motion

By one dimension we mean that the body is moving only in one plane and in a straight line. Like if we roll a marble on a flat table, and if we roll it in a straight line (not easy!), then it would be undergoing one-dimensional motion.

There are four variables which put together in an equation can describe this motion. These are Initial Velocity (u); Final Velocity (v), Acceleration (a), Distance Traveled (s) and Time elapsed (t). The equations which tell us the relationship between these variables are as given below.

v = u + at

v² = u² + 2as click for calculator

s = ut + 1/2 at²

average velocity = (v + u)/2

Armed with these equations you can do wonderful things like calculating a cars acceleration from zero to whatever in 60 seconds !!

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