What is the difference between burning of coal and burning of candle ?

Your friend Fatima is correct.
Coal does not burn with flame, But candle burns with flame.
when we blow air to coal it starts burning, But candle stop burning if we blow air to it.
Burning of coal is chemical change while burning of candle is physical as well as chemical change.

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coal is naturally available and is carbon based.Coal is a combustible black or brownish-black sedimentary rock normally occurring in rock strata in layers or veins called coal beds or coal seams. The harder forms, such as anthracite coal, can be regarded as metamorphic rock because of later exposure to elevated temperature and pressure. Coal is composed primarily of carbon along with variable quantities of other elements, chiefly hydrogen, with smaller quantities of sulfur, oxygen and nitrogen. Coal is primarily used as a solid fuel to produce electricity and heat through combustion candle is made of wax.A candle is a solid block of fuel (commonly Solid wax) and an embedded wick, which is lit to provide light, and sometimes heat. Today, most candles are made from paraffin. Candles can also be made from beeswax, soy, other plant waxes, and tallow (a by-product of beef-fat rendering). Gel candles are made from a mixture of paraffin and plastic. The burning of the fuel takes place in several distinct regions (as evidenced by the various colors that can be seen within the candle's flame). Within the bluer regions, hydrogen is being separated from the fuel and burned to form water vapor. The brighter, yellower part of the flame is the remaining carbon being oxidized to form carbon dioxide.[citation needed] As the mass of solid fuel is melted and consumed, the candle grows shorter. Portions of the wick that are not emitting vaporized fuel are consumed in the flame. The incineration of the wick limits the exposed length of the wick, thus maintaining a constant burning temperature and rate of fuel consumption.

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Candle burns with a flame but coal burns with only a glow. This is because only substances that vapourize while burning gives flame. Thus candle burns with a flame because it vapourizes while burning and coal burns with a glow because it does not vapourize while burning.

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