An ideal gas is taken around ABCA as shown in the P-V diagram. The work done during a cycle is

Correct answer: (A) 2PV. The work done during the cycle ABCA is W= Area of triangle A B C on P-V plane =1/2 ×(3 ~V-V) ×(3 P-P)=2 pV

Q139 / 160 · AP EAMCET 2024 (22 May Shift 1) · Physics

An ideal gas is taken around ABCA as shown in the $\mathrm{P}-\mathrm{V}$ diagram. The work done during a cycle is

Correct answer
A
2PV
B
PV
C
$\frac{1}{2}PV$
D
Zero

Solution

The work done during the cycle ABCA is $\mathrm{W}=$ Area of triangle $A B C$ on $P-V$ plane $=\frac{1}{2} \times(3 \mathrm{~V}-\mathrm{V}) \times(3 \mathrm{P}-\mathrm{P})=2 \mathrm{pV}$

Hence, the correct answer is option: 'A'.

Relevant Questions

A monatomic gas at a pressure of 100 kPa expands adiabatically such that its final volume becomes 8 times its initial volume. If the work do27 May, 2025 (M)Thermodynamic Processes
When an ideal diatomic gas undergoes adiabatic expansion, if the increase in its volume is , then the change in the pressure of the gas is26 May, 2025 (M)Thermodynamic Processes
If 5.6 litres of a monoatomic gas at STP is adiabatically compressed to 0.7 litres, then the work done on the gas is nearly (R - Universal g26 May, 2025 (E)Thermodynamic Processes
If the given graph shows the logarithmic values of pressure and volume of an ideal gas, then the ratio of the specific heat capacities of th23 May, 2025 (M)Thermodynamic Processes
The work done by 6 moles of helium gas when its temperature increases by at constant pressure is (Universal gas constant )23 May, 2025 (E)Thermodynamic Processes
During adiabatic expansion, if the temperature of 3 moles of a diatomic gas decreases by , then the work done by the gas is (R - Universal g22 May, 2025 (M)Thermodynamic Processes