Home
Class 12
CHEMISTRY
Calculate the amount of work done when o...

Calculate the amount of work done when one mole of an ideal gas contained in a bulb of 2 L capacity at 1 atm is allowed to enter in evacuted bulb of 10 L capacity and in another case if is allowed to expand from 1 L to 5 L against a pressure of 1 atm.

Text Solution

Verified by Experts

Case I
`w = -p_(ex) Delta V`
As expansion is taking place in the evacuated bulb, i.e, against vacuum, `p_(ex) = 0` . Hence `w =0`.
Case II
`Delta V = V_(2) - V_(1)`
` = 5 L -1L`
`= 4L`
p = 1 atm
`because` `w = -pDeltaV`
` = -1 xx4`
`= -4 L atm`
`1 L-atm = 101.3 J`
`= -4 xx101.3 J`
`= -405.2 J`
The negative sign implies that work is done by the system.
Promotional Banner

Similar Questions

Explore conceptually related problems

Calculate the amount of work done in each of the following cases : (i) One mole of an ideal gas contained in a bulb of 10 litre capacity at 1 atm is allowed to enter into an evacuated bulb of 100 litre capacity. (ii) One mole of a gas is allowed of 1 atm (1 litre atm = 101.3 J)

An ideal gas is allowed to expand from 1L to 10 L against a constant external pressure of 1 bar. The work doen in kJ is:

An ideal gas is allowed to expand from 1 L to 10 L against a constant external pressure of 1 bar. Calculate the work done inkJ.

What will be the work done when one mole of a gas expands isothermally from 15 L to 50 L against a constant pressure of 1 atm at 25^(@)C ?

What is the work done when 1 mole of a gas expands isothermally from 25 L to 250 L at a constant pressure of 1 atm and a temperature of 300 K ?

300 L of ammonia gas at 20^(@)C and 20 atm pressure is allowed to expand in a space of 600 L capacity and to a pressure of 1 atm. Calculate the drop in temperature.

Calculate work done by 1 mole of ideal gas expand isothermally and irreversibly from pressure of 5 atm to 2 atm against a constant external pressure of 1 atm at 300 K temperature.