Home
Class 12
PHYSICS
Two moles of an ideal monoatomic gas is ...


Two moles of an ideal monoatomic gas is taken through a cyclic process as shown in the P-T diagram. In the process BC, `PT^(-2)=` constant. Then the ratio of heat absorbed and heat released by the gas during the process AB and process BC respectively is.

A

A. 2

B

B. 3

C

C. 5

D

D. 6

Text Solution

Verified by Experts

The correct Answer is:
C
`DeltaQ_(AB)=nC_(PDelta)T=2xx(5R)/(2)(2T_(0)-T_(0))=5RT_(0)`
In the process `BC,PT^(-2)`= constant
`PV^(2)=`constant
`therefore` molar heat capacity `C=C_(V)+(R)/(1-x)=(3R)/(2)+(R)/(1-2)`
`C=(R)/(2)`
`thereforeDeltaQ_(BC)=nC_(Delta)T=2xx(R)/(2)(T_(0)-2T_(0))=-RT_(0)`
`therefore(|DeltaQ_(AB)|)/(|DeltaQ_(BC)|)=((5RT)_(0))/(RT_(0))=5`
Promotional Banner

Similar Questions

Explore conceptually related problems

One mole of an ideal monoatomic gas is taken through a cyclic process as shown. Choose the correct option(s).

Ideal gas is taken through the process shown in the figure :

Ideal gas is taken through the process shown in the figure :

One mole of an ideal monoatomic gas is taken through the thermodynamic process shown in the P-V diagram. The heat supplied to the system is

A gas is taken through a cyclic process ABCA as shown in, if 2.4 cal of heat is given in the process, what is the value of J ?

A gas is taken through a cyclic process ABCA as shown in, if 2.4 cal of heat is given in the process, what is the value of J ?

One mole of monoatomic gas is taken round the cyclic process. Heat absorbed by gas in process AB is

Two moles of an ideal monoatomic gas is taken through a cycle ABCA as shown in the P-T diagram. During the process AB , pressure and temperature of the gas very such that PT=Constant . It T_1=300K , calculate (a) the work done on the gas in the process AB and (b) the heat absorbed or released by the gas in each of the processes. Give answer in terms of the gas constant R.

Two moles of an ideal monoatomic gas is taken through a cycle ABCA as shown in the P-T diagram. During the process AB , pressure and temperature of the gas very such that PT=Constant . It T_1=300K , calculate (a) the work done on the gas in the process AB and (b) the heat absorbed or released by the gas in each of the processes. Give answer in terms of the gas constant R.

Two moles of an ideal monoatomic gas is taken through a cycle ABCA as shown in the p - T diagram. During the process AB, the pressure and temperature of the gas vary such that pT = constant. If T_(1)= 300 K and the amount of heat released by the gas during the process AB is Q = -x R , then the value of x is