Advertisements
Advertisements
Question
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.
Advertisements
Solution
V = 2 litres
P = 100 Pa
T = 300 K
T1 = ?
`"P"1 = 1/2 xx 100 = 50 "Pa"`
`"V"_1 = 1/2 xx 2 = 1 "litre"`
Using gas equation,
`"PV"/"T" = ("P"_1"V"_1)/"T"_1`
`(100xx2)/300 = (50xx1)/"T"_1`
`"T"_1 = 75 "K"`
`"T"_1 = 75 - 273 = -198°C`
APPEARS IN
RELATED QUESTIONS
Explain Boyle's Law on the basis of the kinetic theory of matter.
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?
A gas at 240 K is heated to 127°C. Find the percentage change in the volume of the gas (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.
State Boyle’s Law.
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 1800 ml. originally occupying 300 ml. at 6 atms. pressure.
Fill in the blank with the correct word, from the words in option:
1 dm3 of a gas is equal to _______.
State-the law of volume
