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प्रश्न
Give its
(i) graphical representation,
(ii) mathematical expression
(iii) significance
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उत्तर
(i) Graphical representation of Charles's law
T vs V: The relationship between the volume and the temperature of a gas can be plotted on a graph. A straight line is obtained.
(ii) Mathematical expression
Let V0 be the volume of a fixed mass of a gas at 0 °C, and let V be its volume at temperature t °C at, constant pressure. then, according to Charles Law
`"V" = "V"_0 + "V"_0/273 t` (when P is constant)
`"V" = "V"_0 (1 + t/273) = "V"_0 ((273 + t)/273)` .......(1)
`"V" = "V"_0/273 "T" "where" "T" = 273 + "t"`
For a given mass of a gas,
`"V"_0/273 = "constant"`
`"V" = "k" xx "T"` (where k is constant)
(iii) Significance of Charles's Law: The volume of a given mass of a gas is directly proportional to its temperature; hence, the density decreases with temperature. This is the reason that
(a) Hot air is filled in balloons used for meteorological purposes. (b) Cable wires contract in winters and expand in summers.
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संबंधित प्रश्न
Explain Charles's law on the basis of the kinetic theory of matter.
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Choose the correct answer:
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Taking the volume of hydrogen as calculated in Q.19, what change must be made in Kelvin (absolute) temperature to return the volume to 2500 cm3 (pressure remaining constant)?
A certain mass of gas occupied 850 ml at a pressure of 760 mm of Hg. On increasing the pressure it was found that the volume of the gas was 75% of its initial value. Assuming constant temperature, find the final pressure of the gas?
Fill in the blank with the correct word, from the words in option:
If the temperature of a fixed mass of a gas is kept constant and the pressure is increased, the volume correspondingly _______.
Fill in the blank with the correct word, from the words in option:
At -273°C the volume of a gas is theoretically ______.
The following question refers to one mole of chlorine gas.
What volume will it occupy at 273°C?
