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प्रश्न
At 0°C and 760 mmHg pressure, a gas occupies a volume of 100 cm3. Kelvin temperature of the gas is increased by one-fifth and the pressure is increased one and a half times. Calculate the final volume of the gas.
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उत्तर
V = 100 cm3
P = 760 mm
T = 273 K
V1= ?
`"T"_1 = 273 xx 1/5 = 54.6 = 273 + 54.6 = 327.6 "K"`
`"P"_1 = 1 1/2 xx 760 = 760 xx 3/2 = 1140` mm
V1 = ?
Using gas equation,
`"PV"/"T" = ("P"_1"V"_1)/"T"_1`
`(760xx100)/273 = (1140 xx "V"_1)/327.6`
V1 = 80 cm3
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संबंधित प्रश्न
Explain Boyle's Law on the basis of the kinetic theory of matter.
At constant temperature, the effect of change of pressure on the volume of a gas was as given below:
|
Pressure in atmosphere |
Volume in liters |
|
0.20 |
112 |
|
0.25 |
89.2 |
|
0.40 |
56.25 |
|
0.60 |
37.40 |
|
0.80 |
28.10 |
|
1.00 |
22.4 |
(a) Plot the following graphs
- P vs V
- P vs 1/V
- PV vs P
Interpret each graph in terms of the law.
(b) Assuming that the pressure values given above are correct, find the correct measurement of the volume.
A steel cylinder of internal volume 20 litres is filled with hydrogen at 29 atmospheric pressure. If hydrogen is used to fill a balloon at 1.25 atmospheric pressure at the same temperature, what volume will the gas occupy?
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50 cm3 of hydrogen is collected over water at 17°C and 750 mmHg pressure. Calculate the volume of a dry gas at STP. The water vapour pressure at 17°C is 14 mmHg.
A given mass of a gas occupied 143 cm3 at 27° C and 700 mm Hg pressure. What will be its volume at 300 K and 280 mm Hg pressure?
Name or state the following:
The law which studies the relationship between pressure of a gas and the volume occupied by it at constant temperature.
Calculate the following:
A gas ‘X’ is collected over water at 17°C and 750 mm. pressure. If the volume of the gas collected is 50 cc., calculate the volume of the dry gas at s.t.p. [at 17°C the vapour pressure is 14 mm.]
Assuming temperature remaining constant calculate the pressure of the gas in the following:
The pressure of a gas having volume 1500 cm3 originally occupying 750 cc. at 5 ats. pressure.
Calculate the coefficient of cubical expansion of a zinc bar. Whose volume is increased 0.25 m3 from 0.3 m3 due to the change in its temperature of 50K?
