Work doen by air when it expands from 50 liters to 150 liters at a constant pressure of 2 atmospheres is:
Correct answer: A. 2 x 10^4 Joules
- A. 2 x 10^4 Joules
- B. 2 x 10^5 x 100 Joules
- C. 2x100 Joules
- D. 2 x 10^-5 x 100 Joules
Explanation
To calculate the work done by a gas expanding at constant pressure, use the formula W = P∆V. The pressure is given as 2 atmospheres, which needs to be converted to Pascals: 2 atm = 2 x 1.01 x 10⁵ Pa. The change in volume ∆V is the difference between the final and initial volumes, which is 150 liters - 50 liters = 100 liters. Convert the volume from liters to cubic meters: 100 liters = 100 x 1/1000 m³ = 0.1 m³.Therefore, W = 2 x 1.01 x 10⁵ Pa x 0.1 m³ = 2.02 x 10⁴ Joules. However, based on significant figures and rounding, this is approximated to 2 x 10⁴ Joules, which is correctly represented by Option A.Options B, C, and D are incorrect due to errors in unit conversion or misunderstanding the formula.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Thermodynamics
Thermal equilibrium and heat explain how temperature and energy transfer are related, while molar specific heats describe the heat required by a gas at constant volume or constant pressure. The first law connects heat supplied, work done and change in internal energy, with sign conventions kept distinct from temperature changes.
Practise Thermodynamics
714 free Thermodynamics MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Thermodynamics questions
A gas undergoes the cycle of pressure and volume changes W --> X --> Y --> Z --> W shown in the diagram.What is the net work done by the gas
If a system undergoes contraction of volume, then the work done by the system will be:
A system goes from A to B via two processes, I and II as shown in figure. If ∆UI and ∆UII are changes in internal energies in the processes I and II repectively, then:
A system is taken from state A to B through three different paths 1, 2, 3. The work done is maximum in:
An ideal gas is taken around ABCA as shown in the P-V diagram. The work done during cycle is:
The equation W = P(V2-V1) represent work done by a gas in: