A vessel contains 8 gm of air at 400K. Some amount of air leaks out through the hole provided to it. After some time, the pressure is halved and the temperature is changed to 300 K. Find the mass of the air escaped.
Text Solution
Verified by Experts
According to the gas equation, `P_(1)/(m_(1)T_(1))=P_(2)/(m_(2)T_(2))" "m_(2)=P_(2)/P_(1)xxT_(1)/T_(2)xxm_(1)` = `1/2xx4/3xx8=16/3=5.33` `thereforem_(2)=5.33gm` `rArr` Massof the gas escaped = `m_(1)-m_(2)` = 8 - 5.33 = 2.67 gm
Topper's Solved these Questions
THERMAL PROPERTIES OF MATTER
AAKASH SERIES|Exercise EXERCISE-IA|217 Videos
THERMAL PROPERTIES OF MATTER
AAKASH SERIES|Exercise EXERCISE-IB|68 Videos
SYSTEM OF PARTICLES AND ROTATIONAL MOTION
AAKASH SERIES|Exercise PRACTICE EXERCISE|99 Videos
THERMODYNAMICS
AAKASH SERIES|Exercise EXERCISE - 3|33 Videos
Similar Questions
Explore conceptually related problems
A vessel contains 8gm of a gas at a pressure P and temperature 500K. The gas leaves through a small hole. The mass of the gas leaked out when the pressure is P/2 and t.cmperature is 400 K^(1) is
A barometer tube 90 cm long contains some air above mercury. The reading is 74.5 cm when the true pressure is 76 cm and the temperature is 15^(@)C . If the reading is observed to be 75.8 cm on a day when the temperature is 5^(@)C , what is the true pressure ?
An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 ^(@)C . After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17^(@)C . Estimate the mass of oxygen taken out of the cylinder ( R= 8.31 J mol^(-1) K^(-1) . molecular mass of O_(2) = 32 u ).
AAKASH SERIES-THERMAL PROPERTIES OF MATTER-ADDITIONAL PRACTICE EXERCISE (LEVEL - II) PRACTICE SHEET (ADVANCED) Integer/Subjective Type Questions