Home
Class 12
CHEMISTRY
A cyclindrical container of volume 44...

A cyclindrical container of volume `44.8 litres` is containing equal no.of moles (in integer no. ) of an ideal
monoatomic gas in two sections A and B separeted by an adiabatic frictionless piston as show in figure
The initinal temperature and pressure of gas in both section B becomes `(1//8)^(th)` of initial volume .

Given : `R = 2 cal //"mole -K", C_(v,m)` of monoatmic gas `=(3)/(2)R`,
At 1 atm & `0^(@)` ideal gas occupy `22.4 liter`.
Find temperature in container A will be

A

1638 K

B

6988 k

C

3274 K

D

51 K

Text Solution

Verified by Experts

The correct Answer is:
A
After heating P in both container is equal
`(P_(1)V_(1))/(T_(1))=(P_(1)V_(1))/(T_(2))`
`V_(2)` of container `A = 22.4 +22.4 xx(7)/(8)`
`= 42 L`
`(1 xx22.4)/(27.3)=(32 xx 42)/(T_(2))`
`T_(2)= 1638 K`
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    BANSAL|Exercise Reasoning type|2 Videos

  • THERMODYNAMICS

    BANSAL|Exercise Multiple Correct Choice Type|11 Videos

  • THERMODYNAMICS

    BANSAL|Exercise Exercise 1|35 Videos

  • THERMOCHEMISTRY

    BANSAL|Exercise Exercise 4|15 Videos

Similar Questions

Explore conceptually related problems

One mole of an ideal monoatomic gas at temperature T and volume 1L expands to 2L against a constant external pressure of one atm under adiabatic conditions, then final temperature of gas will be:

For adiabatic reversible expansion of an ideal gas the expression relating pressure and volume of the gas is -

One mole of an ideal monoatomic gas expands reversibly and adiabatically from a volume of x litre to 14 litre at 27^(@) C. Then value of x will be [Given, final temperature 189 K and C_(V) = 3/2 R].

Two moles of an ideal gas is contained in a cylinder fitted with a frictionless movalbe piston, exposed to the atmosphere, at an initial temperature T_(0) . The gas is slowly heated so that its volume becomes fout times the initial value. The wor done by gas is

Two moles of an ideal monoatomic gas occupy a volume 2V at temperature 300K, it expands to a volume 4V adiabatically, then the final temperature of gas is

3 moles of an ideal gas are contained within a cylinder by a frictionless piston and are initially at temperature T . The pressure of the gas remains constant while it is heated and its volume doubles . If R is molar gas constant , the work done by the gas in increasing its volume is