Advertisements
Advertisements
Question
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?
Advertisements
Solution
(a) V1 = 0.4 L
V2 = 0.4 × 2L
T1 = 17°C (17 + 273) = 290 K
T2= ?
`("V"_1)/("T"_1) = "V"_2/"T"_2`
`0.4/290 = 0.8/"T"_2`
T2 = 290 x 2 = 580
T2 = 580 - 273 = 307 °C
(b) V1 = 0.4 L
V2 = 0.2 L
T1 = 17°C (17 + 273) = 290 K
T2= ?
`"V"_1/"T"_1 = "V"_2/"T"_2`
`0.4/290 = 0.2/"T"_2`
T2 = `(290 xx 0.2)/0.4 = 145 "K"`
T2 = 145 - 273 = -128 °C
APPEARS IN
RELATED QUESTIONS
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 gas at 240 K is heated to 127°C. Find the percentage change in the volume of the gas (pressure remaining constant).
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.
Calculate the volume occupied by 2 g of hydrogen at 27°C and 4-atmosphere pressure if at STP it occupies 22.4 litres.
State Boyle’s Law.
A gas cylinder having a capacity of 20 litres contains a gas at 100 atmos. How many flasks of 200 cm3 capacity can be filled from it at 1 atmos. pressure if the temperature remains constant?
Calculate the volume of a gas ‘A’ at s.t.p., if at 37°C and 775 mm of mercury pressure, it occupies a volume of `9 1/2` litres.
Calculate the following:
Calculate the temperature at which a gas ‘A’ at 20°C having a volume, of 500 cc. will occupy a volume of 250 cc.
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.]
Fill in the blank with the correct word, from the words in option:
If the pressure of a fixed mass of a gas is kept constant and the temperature is increased, the volume correspondingly _______
