Volume occupied by gas under pressure of 740 mm of Hg is 500 cm³. If the volume will be reduced by 25 percent keeping the temperature constants, calculate the pressure of gas.
Answers
Pressure of gas is 986.6 mm of Hg.
According to ideal gas equation, pressure, volume and temperature are related as follows -
PV = nRT.
Here, p is denoted by pressure, v is denoted by volume, n denotes number of moles, r denotes has constant and t represents temperature.
New volume will be 375.
P1 and V1 represents given data, P2 and V2 represents pressure to be calculated and reduced volume.
25% reduced volume will be -
500 - (25/100)*500
500 - 125
375.
Hence, reduced volume is 375 cm³
Thus, P1V1 = P2V2
740*500 = P2*375
P2 = 986.6 mm of Hg.
Thus, pressure at 25% reduced volume is 986.6 mm of Hg.
Pressure of gas = 986.67 mm of Hg
Explanation:
Volume1 = 500 cu cm at Pressure1 = 740 mm of Hg
Volume2 = 375 cu cm (after 25% reduction)
Find pressure2.
By Boyle's law, we know that P1V1 = P2V2
500 * 740 = 375 * x
x = 500 * 740 / 375 = 986.67
Pressure of gas = 986.67 mm of Hg when volume is reduced by 25% keeping the temperature constant.