Home
Class 11
PHYSICS
One mole of a gas expands with temperatu...

One mole of a gas expands with temperature T such thaht its volume, V=`KT^(2)`, where K is a constant. If the temperature of the gas changes by `60^(@)C` then the work done by the gas is

Text Solution

Verified by Experts

The correct Answer is:
`1000J`
`W = int PdV , V = kT^(2)` (given)
`PdV = 2nRdT :. W = int PdV = 2nR int dT`
`W = 2nR DeltaT = 2 xx 1 xx R xx 60`
`W = 120 R= 120 xx 25//3 = 1000J`
Promotional Banner

Topper's Solved these Questions

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise SECTION (F)|3 Videos

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise SECTION (G)|3 Videos

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise SECTION (C)|3 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    RESONANCE|Exercise Exercise|64 Videos

  • MAGNETIC FIELD AND FORCES

    RESONANCE|Exercise Exercise|65 Videos

Similar Questions

Explore conceptually related problems

A gas expands with temperature according to the relation V=KT^(2/3) .Work done when the temperature changes by 60K is.

If one mole of gas doubles its volume at temperature T isothermally then work done by the gas is

At 27^@C two moles of an ideal monoatomic gas occupy a volume V. The gas expands adiabatically to a volume 2V. Calculate (i) the final temperature of the gas, (ii) change in its internal enegy, and (iii) the work done by the gas during this process.

In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT= K, where K is a constant. In this process the temperataure of the gas is increased by DeltaT . The amount of heat absorbed by gas is (R is gas constant).

I mole of an ideal monoatomic gas is expanded till the temperature of the gas is doubled under the process V^(2)T=contant . The initial temperature of the gas is 400K . In terms of R find total work done in the process.

At 27^@C two moles of an ideal monatomic gas occupy a volume V. The gas expands adiabatically to a volume 2V . Calculate (a) final temperature of the gas (b) change in its internal energy and (c) the work done by the gas during the process. [ R=8.31J//mol-K ]

n moles of an ideal gas undergo a process in which the temperature changes with volume as T=kv^(2) . The work done by the gas as the temperature changes from 7_(0) to 47_(0) is

One mole of an ideal gas undergoes an isothermal change at temperature 'T' so that its voume V is doubled. R is the molar gas constant. Work done by the gas during this change is