A perfect gas is found to obey the relation PV^3/2 = constant during an adiabatic process. If such a gas initially at a temperature T, is compressed to half of its initial volume, then its final temperature will be :

2 T

4T

(2)^1/2 T

2 (2)^1/2 T

Solution

(2)^1/2 T

In adiabatic process the system is insulated from the surroundings and heat is absorbed or released. Adiabatic proceess of the ideal gas is PV^γ = constant

where γ is the ratio of specific heats at constant pressure and constant volume.

Gas obeys the equation

PV^3/2 = constant

$Comparing with {PV}^{γ} = constant γ = \frac{3}{2}$

Some More Questions From Thermodynamics Chapter

A system goes from A to B via two processes I and II as shown in the figure. If ∆U₁ and ∆U₂ are the changes in internal energies in the processes I and II respectively, the

Which of the following statements is correct for any thermodynamic system?

Thermodynamic processes are indicated in the following diagram.

Match the following

Column-1 Column-2
P. Process I a. Adiabatic
Q. Process II b. Isobaric
R. Process III c. Isochoric
S. Process IV d. Isothermal

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Thermodynamics

A perfect gas is found to obey the relation PV^3/2 = constant during an adiabatic process. If such a gas initially at a temperature T, is compressed to half of its initial volume, then its final temperature will be :

2 T

4T

(2)^1/2 T

2 (2)^1/2 T

Some More Questions From Thermodynamics Chapter

A system goes from A to B via two processes I and II as shown in the figure. If ∆U₁ and ∆U₂ are the changes in internal energies in the processes I and II respectively, the

Which of the following statements is correct for any thermodynamic system?

Thermodynamic processes are indicated in the following diagram.

Match the following

Column-1 Column-2
P. Process I a. Adiabatic
Q. Process II b. Isobaric
R. Process III c. Isochoric
S. Process IV d. Isothermal

Mock Test Series

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Loaction

Column-1	Column-2
P. Process I	a. Adiabatic
Q. Process II	b. Isobaric
R. Process III	c. Isochoric
S. Process IV	d. Isothermal

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Thermodynamics

A perfect gas is found to obey the relation PV3/2 = constant during an adiabatic process. If such a gas initially at a temperature T, is compressed to half of its initial volume, then its final temperature will be : 2 T 4T (2)1/2 T 2 (2)1/2 T

Some More Questions From Thermodynamics Chapter

A system goes from A to B via two processes I and II as shown in the figure. If ∆U1 and ∆U2 are the changes in internal energies in the processes I and II respectively, the

Which of the following statements is correct for any thermodynamic system?

Thermodynamic processes are indicated in the following diagram.Match the following Column-1 Column-2 P. Process I a. Adiabatic Q. Process II b. Isobaric R. Process III c. Isochoric S. Process IV d. Isothermal

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A perfect gas is found to obey the relation PV^3/2 = constant during an adiabatic process. If such a gas initially at a temperature T, is compressed to half of its initial volume, then its final temperature will be :

2 T

4T

(2)^1/2 T

2 (2)^1/2 T

A system goes from A to B via two processes I and II as shown in the figure. If ∆U₁ and ∆U₂ are the changes in internal energies in the processes I and II respectively, the

Thermodynamic processes are indicated in the following diagram.

Match the following

Column-1 Column-2
P. Process I a. Adiabatic
Q. Process II b. Isobaric
R. Process III c. Isochoric
S. Process IV d. Isothermal