Home
Class 12
CHEMISTRY
A gas expands against a variable pressur...

A gas expands against a variable pressure given by `P = (20)/(V)` (where P in atm and V in L). During expansion from volume of 1 litre to 10 litre, the gas undergoes a change in internal energy of 400 J. How much heat is absorbed by the gas during expansion?

Text Solution

Verified by Experts

The correct Answer is:
`5065.8`
`dW=-Pdv=(20)/(v)xx dv = 20 int_(1)^(10)(dv)/(v)=20 ln 10 = 10 =-46.06` Latm `= -4665.878 J, " " Delta U = 400 J`
Using first law of thermodynamics Q = 5065.878 J.
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 6

    VMC MODULES ENGLISH|Exercise CHEMISTRY (SECTION 2)|5 Videos

  • MOCK TEST 5

    VMC MODULES ENGLISH|Exercise CHEMISTRY (SECTION 2)|5 Videos

  • MOCK TEST 7

    VMC MODULES ENGLISH|Exercise CHEMISTRY (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

A gas expands against a variable pressure given by P=(20)/(V) bar. During expainsion from volume of 1 litre to 10 litre, the gas undergoes a change in internal energy of 400 J . Heat absorbed by the gas during expansion ( in KJ ):

A gas of volume changes 2 litre to 10 litre at constant temperature 300K, then the change in internal energy will be :

What happens to the change in internal energy of a gas during adiabatic expansion?

A gas absorbs 200J of heat and expands against the external pressure of 1.5 atm from a volume of 0.5 litre to 1.0 litre. Calculate the change in internal energy.

A gas expands against a constant pressure of 1 atm from a volume of 5L to 10L. During the process, system absorbs 400 J of heat from the surroundings. Calculate the change in the internal energy of the system.

An ideal gas expand against a constant external pressure at 2.0 atmosphere from 20 litre to 40 litre and absorb 10kJ of energy from surrounding . What is the change in internal energy of the system ?

In an isothermal expansion of one mole of an ideal gas against vacuum from 10 litre to 100 litre at 27^(@)C , the quantity of heat absorbed by the gas is

In an isothermal expansion of one mole of an ideal gas against vacuum from 5 litre to 50 litre at 300 K, the quantity of heat absorbed by the gas is

An ideal gas absorbs 600cal of heat during expansion from 10L to 20L against the constant pressure of 2atm . Calculate the change in internal enegry.

A gas expands from 10 litres to 20 litres against a constant external pressure of 10 atm. The pressure-volume work done by the system is