Question:
An ideal gas expands along the path AB as shown in the p-V diagram. The work done is
An ideal gas expands along the path AB as shown in the p-V diagram. The work done is
Show Hint
An ideal gas expands along the path AB as shown in the p-V diagram. The work done is
Updated On: Apr 15, 2026
- $4 \times 10^4$ J
- $1.2 \times 10^5$ J
- $2.4 \times 10^5$ J
- None of these
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Concept
Work done is equal to the area under the p-V curve.
Step 2: Analysis
The area is a trapezium: $\text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times (\text{distance between them})$.
Step 3: Calculation
$W = \frac{1}{2} \times (8 + 4) \times 10^5 \text{ Pa} \times (0.5 - 0.3) \text{ m}^3$ $W = \frac{1}{2} \times 12 \times 10^5 \times 0.2 = 1.2 \times 10^5 \text{ J}$.
Final Answer: (B)
Work done is equal to the area under the p-V curve.
Step 2: Analysis
The area is a trapezium: $\text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times (\text{distance between them})$.
Step 3: Calculation
$W = \frac{1}{2} \times (8 + 4) \times 10^5 \text{ Pa} \times (0.5 - 0.3) \text{ m}^3$ $W = \frac{1}{2} \times 12 \times 10^5 \times 0.2 = 1.2 \times 10^5 \text{ J}$.
Final Answer: (B)
Was this answer helpful?
0
0
Top MET Physics Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- A rope of mass $0.1\, kg$ is connected at the same height of two opposite walls. It is allowed to hang under its own weight. At [he contact point between the rope and the wall, the rope makes an angle $ \theta =10^{\circ} $ with respect to horizontal. The tension in the rope at its midpoint between the walls is
- At great distances from an electric dipole, the electric field strength due to the dipole varies with the distance as
View More Questions
Top MET Thermodynamics Questions
Top MET Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- $\int\limits_{0}^{8}| x -5| d x$ is equal to
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- Which of the following product is formed in the reaction $ CH_3MgBr {->[(i)CO_2][(ii)H_2O]} ? $
View More Questions