A monoatomic gas supplied the heat Q very slowly keeping the pressure constant. The work done by the gas will be

$\frac{2}{3} Q$

$\frac{3}{5} Q$

$\frac{2}{5} Q$

$\frac{1}{5} Q$

Solution

$\frac{2}{3} Q$

The general principle of conservation of energy then implies that

$∆ Q = ∆ W + ∆ U$ ......(1)

i.e the energy (ΔQ) supplied to the system to increase the internal energy of the system(ΔU) and rest in work on the environment (ΔW). Equation (1) known as First law of thermodynamics.

For monoatomic gas at constant pressure

$\frac{∆ U}{Q} = \frac{1}{3} or ∆ U = \frac{Q}{3} Now applying first law of thermodyanamics W = ∆ Q - ∆ U = Q - \frac{Q}{3} W = \frac{2 Q}{3}$

Some More Questions From Thermodynamics Chapter

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

A monoatomic gas supplied the heat Q very slowly keeping the pressure constant. The work done by the gas will be

$\frac{2}{3} Q$

$\frac{3}{5} Q$

$\frac{2}{5} Q$

$\frac{1}{5} Q$

Some More Questions From Thermodynamics Chapter

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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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 monoatomic gas supplied the heat Q very slowly keeping the pressure constant. The work done by the gas will be 23Q 35 Q 25Q 15Q

Some More Questions From Thermodynamics Chapter

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

A monoatomic gas supplied the heat Q very slowly keeping the pressure constant. The work done by the gas will be

$\frac{2}{3} Q$

$\frac{3}{5} Q$

$\frac{2}{5} Q$

$\frac{1}{5} Q$

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