Thermodynamics

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1 mole of an ideal gas at an initial temperature of T K does 6R joule of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, then final temperature of the gas will be

( T - 4 ) K

( T + 4 ) K

( T - 2.4 ) K

( T + 2.4 ) K

Solution

( T - 4 ) K

In an adiabatic process, the system is insulated from the surroundings and heat absorbed or released is zero.

PV^γ = constant

Where γ is the ratio of specific heats ( ordinary or molar ) at constant pressure and at constant volume.

Work done by the gas in adiabatic process,

W = $\frac{μ R (T_{i} - T_{f})}{γ - 1}$

∴ 6 R = $\frac{1 \times R (T - T_{2})}{(\frac{5}{3} - 1)}$

⇒ 6 = $\frac{T - T_{2}}{\frac{2}{3}}$

⇒ T - T₂ = 4

⇒ T₂ = ( T - 4) K

Some More Questions From Thermodynamics Chapter

When a system is taken from state i to state f along the path iaf, it is found that Q = 50 cal and W = 20 cal. Along the path’ ibf Q = 36 cal. W along the path ibf is

The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7° C. The gas is

(R = 8.3 J mol⁻¹ K⁻¹ )

Which of the following is incorrect regarding the first law of thermodynamics?

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

1 mole of an ideal gas at an initial temperature of T K does 6R joule of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, then final temperature of the gas will be

( T - 4 ) K

( T + 4 ) K

( T - 2.4 ) K

( T + 2.4 ) K

Some More Questions From Thermodynamics Chapter

When a system is taken from state i to state f along the path iaf, it is found that Q = 50 cal and W = 20 cal. Along the path’ ibf Q = 36 cal. W along the path ibf is

The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7° C. The gas is

(R = 8.3 J mol⁻¹ K⁻¹ )

Which of the following is incorrect regarding the first law of thermodynamics?

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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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

1 mole of an ideal gas at an initial temperature of T K does 6R joule of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, then final temperature of the gas will be ( T - 4 ) K ( T + 4 ) K ( T - 2.4 ) K ( T + 2.4 ) K

Some More Questions From Thermodynamics Chapter

When a system is taken from state i to state f along the path iaf, it is found that Q = 50 cal and W = 20 cal. Along the path’ ibf Q = 36 cal. W along the path ibf is

The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7° C. The gas is(R = 8.3 J mol−1 K−1 )

Which of the following is incorrect regarding the first law of thermodynamics?

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

1 mole of an ideal gas at an initial temperature of T K does 6R joule of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, then final temperature of the gas will be

( T - 4 ) K

( T + 4 ) K

( T - 2.4 ) K

( T + 2.4 ) K

The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7° C. The gas is

(R = 8.3 J mol⁻¹ K⁻¹ )

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