Answer

Verified

414k+ views

**Hint:**In a graph between the pressure of the gas and the volume of the gas, the area under the curve which represents the transition of the gas from one state to another will determine the work done by the gas. So a smaller area under the curve will indicate that lesser work is done to attain the transition of the gas.

**Complete step by step answer:**

Step 1: Sketching each curve individually and marking the area under the curves to determine which curve involves minimum work.

The curve 1 depicting the transition from point A to point B is sketched below. The area under the curve 1 is also marked. The pressure at A is $P$ and volume is $V$ while the pressure and volume at B are ${P_1} = P$ and ${V_1}$ respectively.

Now the curve 2 depicting the transition from point A to point B is sketched below. The area under the curve 2 is also marked. The pressure at A is $P$ and volume is $V$ while the pressure and volume at B are ${P_2}$ and ${V_2}$ respectively.

Finally, curve 3 depicting the transition from point A to point B is sketched below. The area under the curve 3 is also marked. The pressure at A is $P$ and volume is $V$ while the pressure and volume at B are ${P_3}$ and ${V_3}$ respectively.

Now on observing the areas under each curve we realize that the area under curve 3 is minimum. Then the work done will also be minimum for curve 3.

**Therefore, the correct option is C.**

**Note:**

The work done by the gas depends on the change in the volume $V$ and the change in the pressure $P$ of the gas as $W = \Delta \left( {PV} \right)$. The given curves depict an increase in the volume of the gas. For curve 1, the pressure remained constant as the volume increased. While for curve 2 and curve 3, the pressure dropped with the increase in volume. Curve 1 describes an isobaric process as the pressure remained constant.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Guru Purnima speech in English in 100 words class 7 english CBSE

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Select the word that is correctly spelled a Twelveth class 10 english CBSE