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प्रश्न
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?
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उत्तर
V1 = 143 cm3
T1 = 27 C = 27+273 = 300 K
P1 = 700 mm Hg
T2 = 300 K
P2 = 280 mm Hg
V2 = ?
`therefore ("P"_1 "V"_1)/"T"_1 = ("P"_2 "V"_2)/"T"_2`
`therefore (700xx143)/300 = (280xx"V"_2)/300`
`therefore (700 xx 143 xx 300)/(300 xx 280)` = V2
`therefore "V"_2 = 357.5 " cm"^3`
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संबंधित प्रश्न
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 certain amount of a gas occupies a volume of 0.4 litre at 17°C. To what temperature should it be heated so that its volume gets (a) doubled, (b) reduced to half, pressure remaining constant?
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.
A certain mass of a gas occupies 2 litres at 27°C and 100 Pa. Find the temperature when volume and pressure become half of their initial values.
22.4 litres of gas weighs 70 g at STP. Calculate the weight of the gas if it occupies a volume of 20 litres at 27°C and 700 mmHg of 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 1000 cc. originally occupying 1500 cc. at 720 mm. pressure.
Assuming temperature remaining constant calculate the pressure of the gas in the following:
The pressure of a gas having volume 380 lits. originally occupying 800 cm3 at 76 cm. 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?
