Home
Class 12
PHYSICS
A vessel containing 1 g of oxygen at a p...

A vessel containing 1 g of oxygen at a pressure of 10 atm a temperature of `47^(@)C`. It is found that because of a leak, the pressure drops to `5//8th` of its original value and the temperature falls to `27^(@)C`. Find the volume of the vessel and the mass of oxygen that is leaked out.

A

`(1)/(3)g`

B

`(1)/(48)g`

C

`1g`

D

`(2)/(3)g`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

28 g "of" N_2 gas is contained in a flask at a pressure of 10 atm and at a temperature of 57^@ C . It is found that due to leakage in the flask, the pressure is reduced to half and the temperature to 27^@ C . The quantity of N_(2) gas that leaked out is.

An ideal gas at a pressure of 1 atm and temperature of 27^(@)C is compressed adiabatically until its pressure becomes 8 times the initial pressure , then final temperature is (gamma=(3)/(2))

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 After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm.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 = 8.1 J "mole"^(-1) K^(-1) , molecular mass of O_(2) = 32 u) .

It is found that on heating a gas its volume increases by 50% and its pressure decreases to 60% of its original value. If the original temperature was -15^@C , find the temperature to which it was heated.

At 27^(@)C a sample of ammonia gas exerts a pressure of 5.3 atm. What is the pressure when the volume of the gas is reduced to one-tenth of the original value at the same temperature ?

The initial gauge pressure of hydrogen contained in a cylinder of volume 50 litres is 20atm and its initial temperature is 30^(@)C . Afte some hydrogen is withdrawn from the cylinder, the gauge pressure drops to 15 atom and its temperature drops to 25^(@)C . Find the mass of hydrogen flown out of the cylinder.

Nitrogen gas N_2 of mass 28 g is kept in a vessel at pressure of 10 atm and temperature 57^@ C . Due to leakage of N_2 gas its pressure falls to 5 atm and temperature to 26^@ C . The amount of N_2 gas leaked out is

A vessel is filled with an ideal gas at a pressure of 20 atm and is a temperature of 27^@ C One - half of the mass is removed from the vessel and the temperature of the remaining gas is increased to 87^@ C . At this temperature, Find the pressure of the gas.

A vessel has 6g of hydrogen at pressure P and temperature 500K. A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is P/2 and temperature falls to 300 K ?

A vessel contains 1.6g of dioxygen at STP(273.15k,1atm pressure). The gas is now trasnferred to another vessel at constnat temperature. Whre pressure becomes half of the original pressure. Calculate ( a) Volume of the new vessel. (b) number of molecuels of dioxygen.