Home
Class 12
CHEMISTRY
1mol of a mono-atomic gas is subjected t...

`1mol` of a mono-atomic gas is subjected to following cyclic process:

a. Calculate `T_(1)` and `T_(2)`.
b. Calculate `DeltaU,q,` and `W` in calories in each step of cyclic process.

Text Solution

Verified by Experts

(a) At A
`PV=nRT`
`20xx1=1xx0.0821xxT_(1)`
`T_(1)=243.6K`
At B: `PV=nRT`
`20xx10=1xx0.0821xxT_(2)`
`T_(2)=2436.05K`
(b) Path AB: isobaric process `(DeltaU=0,q=w)`
`w=PDeltaV=20xx9=180` litre-atm
`=(180xx101.3)/(4.185)cal`
`=4356.9cal` (work in compression is positive)
Path BC: Isochoric process
w=0
`q_(V)=DeltaU=nC_(V)DeltaT=1xx(3)/(2)Rxx(2436-243.6)`
`=(3)/(2)xx2xx2192.4=6577.2cal`
It is cooling process, `q_(V)=-6577.2cal`
Path CA: It is isothermal compression `DeltaV_(0)`
`q=w=2.303nRtlog(V_(2))/(V_(1))`
`q=w=2.303xx1xx2xxlog((10)/(1))=1122.02cal`
Promotional Banner

Topper's Solved these Questions

  • Chemical Thermodynamics and Thermochemistry

    OP TANDON|Exercise Solved Example|74 Videos
  • Chemical Thermodynamics and Thermochemistry

    OP TANDON|Exercise Illustrations of Objective Questions|58 Videos
  • CHEMICAL KINETICS

    OP TANDON|Exercise LINKED COMPRESHENSION TYPE QUESTIONS ( SECTION-VI)|4 Videos
  • CLASSIFICATION AND NOMENCLATURE OF ORGANIC COMPOUNDS

    OP TANDON|Exercise INTEGER|2 Videos

Similar Questions

Explore conceptually related problems

One mole of a perfect gas is put through a cycle consisting of the following three reversible steps: (CA) isothermal compression from 2 atm and 10 litre to 20 atm and 1 litre. (AB) Isobaric expansion to return the gas to the original volume of 10 litre with T going from T_(1) to T_(2) . (BC) Cooling at constnat volume to bring the gas to the original pressure and temperature. the steps are shown schematically in the figure shown. (a) Calculate T_(1) and T_(2) . (b) Calculate DeltaU,q and W in calories, for each step and for the cycle.

One mole of monoatomic has was taken through a cyclic process as shown in figure. Calculate (dq_("rev"))/(T)

One mole of an ideal mono-atomic gas is taken round cyclic process ABCD as shown in figure below. Calculate

One mole of an ideal monoatomic gas undergoes the following cyclic process. Calculate the magnitude of work (in cal) in a cycle. (Use: ln 2 = 0.7)

One mole of ideal monoatmic gas is carried throught the reversible cyclic process as shown in figure. Calculate net heat absorbed by the gas in the path BC