Thermodynamics

Question

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When an ideal monoatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is

2 / 5

3 / 5

3 / 7

5 / 7

Solution

3 / 5

By first law of thermodynamics

ΔQ = ΔU + ΔW

Where ΔQ = Heat supplied to the system by the surroundings

ΔW = Work done by the system on the surroundings

ΔU = change in internal energy of the system

= $\frac{f}{2}$ nRT + P $\int dV$

Q = $\frac{f}{2}$ nRT + PV

Q = $\frac{f}{2}$ nRT + nRT ( $∵$ PV = nRT )

= $\frac{3}{2} nRT + nRT$

Q = $\frac{5}{2}$ nRT

Fraction of heat energy supplied increase the internal energy.

∴ Fraction of heat energy supplied

= $\frac{U}{Q}$

= $\frac{(\frac{3}{2}) nRT}{(\frac{5}{2}) nRT}$

= $\frac{3}{5}$

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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

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Thermodynamics

When an ideal monoatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is

2 / 5

3 / 5

3 / 7

5 / 7

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?

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For Daily Free Study Material Join wiredfaculty

Thermodynamics

When an ideal monoatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is 2 / 5 3 / 5 3 / 7 5 / 7

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?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

When an ideal monoatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is

2 / 5

3 / 5

3 / 7

5 / 7

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