Thermodynamical behaviour of a gas is represented by a right angled triangle A B C on a P-V diagram. The co-ordinates A, B and C are: A (20,6), B (30,18) and C (30,6) where P is in N / m 2 and V is in m 3. Calculate the work done by the gas in joules.

Question

Thermodynamical behaviour of a gas is represented by a right angled triangle A B C on a P-V diagram. The co-ordinates A, B and C are: A (20,6), B (30,18) and C (30,6) where P is in N / m 2 and V is in m 3. Calculate the work done by the gas in joules. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/35a9fb649ff998d9e853a8fbf565991a-.png" /> Work done is area under the P - V graph ∴ W =(1/2) × AC × BC =(1/2) × 10 × 12=60 J

Q. Thermodynamical behaviour of a gas is represented by a right angled triangle $A BC$ on a $P - V$ diagram. The co-ordinates $A, B$ and $C$ are: $A (20, 6), B (30, 18)$ and $C (30, 6)$ where $P$ is in $N / m^{2}$ and $V$ is in $m^{3}$ . Calculate the work done by the gas in joules.

Work done is area under the $P - V$ graph
$∴ W = \frac{1}{2} \times A C \times BC$
$= \frac{1}{2} \times 10 \times 12 = 60 J$

Q. Thermodynamical behaviour of a gas is represented by a right angled triangle ABC on a P−V diagram. The co-ordinates A,B and C are: A(20,6),B(30,18) and C(30,6) where P is in N/m2 and V is in m3. Calculate the work done by the gas in joules.

Work done is area under the P−V graph ∴W=21​×AC×BC =21​×10×12=60J

Q. Thermodynamical behaviour of a gas is represented by a right angled triangle $A BC$ on a $P - V$ diagram. The co-ordinates $A, B$ and $C$ are: $A (20, 6), B (30, 18)$ and $C (30, 6)$ where $P$ is in $N / m^{2}$ and $V$ is in $m^{3}$ . Calculate the work done by the gas in joules.

Work done is area under the $P - V$ graph
$∴ W = \frac{1}{2} \times A C \times BC$
$= \frac{1}{2} \times 10 \times 12 = 60 J$