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1) An enclosed gas at a constant temperature, occupies 75 litres, at a pressure of 700mm of mercury. Find the pressure of gas, if it's volume increases to 100 litres at the same temperature. 525mm of Hg
2) Calculate the pressure of a gas, when its volume is 750ml, initially the gas having a volume of 1250ml and pressure 0.8 Atms. 1.33 atms
3) A gas occupies a volume of 800cm³ at a pressure y. If the pressure is altered to 2.5 Atms, the volume of gas found 900cm³. Calculate the value of y. 2.81 atms
4) find the initial pressure of 4.5 litres of nitrogen gas, if it occupies 3.3 litres at 1.2 Atms pressure. Assume temperature remains constant. 0.88 atms
5) 5dm³ of dry Ammonia is allowed to expand to 7dm³, when its pressure recorded is 700mm of mercury. Find the initial pressure of gas. 980 mm of Hg
6) At constant temperature, a gas is at a pressure of 1080mm of mercury. At what pressure its volume will decrease by 40% ? 1800 mm of Hg
7) At a constant temperature, a gas at a pressure of 1200mm of mercury, occupies volume of 1500cm³. If volume is decreased by 40%, find the new pressure. 2000 mm of Hg
8) A dry gas occupies 224 cm³ at a normal pressure. If its volume increases by 25%, find the new pressure of gas. 608 mm of Hg
9) The volume of gas was found 800cm³, when pressure was 760 mm of mercury. If the pressure increased by 25% , find the new volume of gas. 640 cm³
10) The volume of a certain gas was found 11.2 cm³ when pressure was 1.5 Atms. If the pressure increases by 40%, find new volume of gas. 8.0 cm³
11) The volume of a gas was found 561 cm³, when pressure was 600mm. If the pressure decreases by 25%. find new volume of gas? 748 cm³
12) A container of capacity 12 dm³, contains oxygen gas at a pressure of 152 cm of Hg. If this vessel is connected to another evacuated container of 6 dm³ capacity, what will be the pressure of oxygen in both containers. 101.33 dm of Hg
13) 10 dm³ of nitrogen is contained in a vessel at pressure of 20 Atms. If another evacuated vessel of similar is connected to it. Find the pressure of gas in both the vessels. 10 Atms
CHARLES LAW
1) A gas occupies 200cm³ at a temperature of 27°C and 760mm pressure. Find the volume of gas at -3°C and 760mm pressure. 180 cm³.
2) A gas at constant pressure occupies a volume of 300cm³, at a temperature of -73°C. Find its volume at 127°C, pressure remaining constant. 600 cm³
3) A gas 150cm³ at 57°C. Find the temperature to which has be heated so that volume triples, without any change in pressure. 717°C
4) A gas occupies a volume of 400cm³. On heating to 127°C its volume becomes 1600cm³. Find the initial temperature of gas on Celsius scale. Assume pressure remains constant. -173°C
5) 279 cm³ of gas at 87°C is cooled to standard temperature, at constant pressure. Calculate the volume of gas at standard temperature. 211.57 cm³
6) A gas occupies a volume of 1054 dm³, at a temperature of 73°C. At what temperature, its volume is 4216 em³, when the pressure remains constant throughout experiment? 527°C
7) A gas is enclosed in a vessel, at standard temperature. At what temperature the volume of enclosed gas is 1/8 of its initial volume, -238.875°C
8) To what temperature must a gas at 127°C be cooled, so that it's volume is reduced to 1/5 of the initial volume? -193°C
9) At constant pressure, a gas at -33°C is heated to 127°C. Find the percentage increase in the volume of gas. 66.67%
GAS EQUATION
1) 5dm³ of dry Hydrogen is collected at a temperature of 37°C and 720mm of pressure. Find the volume of gas at S.T.P ? 4.17dm³
2) A fixed volume of gas occupies 760cm³ at 27°C and 70cm of mercury, what is its volume at STP ? 6.37cm³
3) 1.57dm³ of dry nitrogen gas is at a pressure of 750mm of mercury when the temperature is 37.5°C. find the volume of gas at STP. 1.36 dm³
4) Sulphur dioxide occupies a volume of 512 cm³ at S. T. P. Find its volume at 27°C and at a pressure of 720mm of Hg. 593.89
5) 225cm³ of Hydrogen at S. T. P. is heated such that it's pressure is 810mm of mercury at a temperature of 97°C. Find the volume of gas. 286.12cm³
6) 224cm³ of dry Carbon dioxide is at a temperature of 27°C and pressure 720mm. Find the volume of gas at a temperature of - 73°C and pressure of 3600mm. 29.87
7) A gas occupies a volume of 100cm³ at 0°C and 760mm Hg pressure. If the Kelvin temperature of the gas is increased by on fifth and its pressure is increased one half times, find final volume.
Miscellaneous Exercise
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1) What volume will a gas occupy at 740 mm pressure which is 1480mm occupies 500 cc ? (Temperature being constant) 1000 cc
2) The volume of a given mass of a gas to 27°C is 10p cc. To what temperature should it be heated at the same pressure so that it will occupy a volume 150 cc ? 177°C
3) A fixed mass of a gas has a volume of 750 cc at -- 23°C and 800 mm of pressure. Calculate the pressure for which its volume will be 720 cc. The temperature being --3°C. 900 mm
4) What temperature would be necessary to double the volume of a gas initially at STP. if the pressure is decreased by 50%. 0°C
5) A gas cylinder having a capacity of water 20 litre contains a gas 100 atoms. How many flasks of 200 cm³ capacity can be filled it at 1 atoms.pressure if the temperature remains constant ? 10000
6) A certain mass of gas occupies 850ml 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? 1013.33 mm of Hg
7) It is required to reduce the volume of the gas by 20% by compressing it at a constant pressure. To do so, the gas has to be cooled. If the gas attains a final temperature of 157°C, find the initial temperature of the gas? 264.5° C
8) At a given temperature the pressure of a gas reduces to 75% of its initial value and the volume increased by 40% of its initial value. Find the temperature if the initial temperature was -10°C. 3.15°C
9) Calculate the temperature to which gas must be heated, so that the volume triples without any change in pressure. The gas is originally at 57°C and having a volume 150 cc
10) A gas 'X' at -33°C is heated to 127°C at constant pressure. Calculate the percentage increase in the volume of the gas.
11) Calculate the volume of a gas 'A' at STP if at 37°C and 775 mm of Hg pressure, it occupies a volume of 19/2 litres.
12) Calculate the temperature at which a gas 'A' at 20°C having a volume of 500 cc. will occupy a volume of 250 cc.
13) A gas 'X' is collected over water at 17°C and 750mm pressure. If the volume of the gas collected is 50 cc. Calculate the volume of the dry gas at STP (at 17°C the vapour pressure is 14 mm)
14) Assuming temperature remaining constant calculate the pressure of gas in each of the following:
a) The pressure of a gas having volume 100 cc originally occupying 1500cc at 720mm of pressure.
b) The pressure of a gas having volume 100 lits originally occupying 75 dm³ at 700mm pressure.
c) The pressure of a gas having volume 380 lits, originally occupying 800cm³ at 76cm pressure.
d) The pressure of a gas having volume 1800 ml originally occupying 300ml at 6 atms. pressure.
e) The pressure of a gas having volume 1500 cm³ originally occupying 750cc at 5 atms pressure.
15) The temperature at which 500cc of gas 'X' at temperature 293K occupies half it's original volume(pressure constant)
16) The volume at STP occupied by a gas 'Y' originally occupying 760cc at 300K and 70cm pressure of Hg.
17) The volume at STP occupied by a gas 'Z' originally occupying 1.57dm⁴ at 310.5 K and 75cm. pressure (vapour pressure of a gas 'Q' at 287K is 12mm of Hg).
18) the temperature to which a gas 'P' has to be heated to triple it's volume, if the gas originally occupied 150cm³ at 330K(pressure remain constant).
19) A fixed volume of a gas occupies 760cm³ at 27°C and 70cm of Hg. What will be its volume at STP. 637cm³
20) At 0°C and 760mm of Hg pressure, a gas occupies a volume of 100cm³. The Kelvin temperature (Absolute temperature) of the gas is increased by one-fifth while the pressure is increased one and a half times. Calculate the final volume of the gas. 80cc
21) The pressure on one mole of gas STP is doubled and the temperature is raised to 546K. What is the final volume of the gas? (One mole of a gas occupies a volume of 22.4 litres at STP). 22.4 ltrs
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