Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2012
Exam
BITSAT
Year
2012
Subject
Physics
Chapter
Thermodynamics

BITSAT 2012 · Physics · Thermodynamics

For an isothermal expansion of a perfect gas, the value of (Δ...

For an isothermal expansion of a perfect gas, the value of ΔPP\frac{\Delta P}{P} is equal to

Options

  1. A−γ1/2ΔVV-\gamma^{1 / 2} \frac{\Delta V}{V}
  2. B−ΔVV-\frac{\Delta V}{V}
  3. C−γΔVV-\gamma \frac{\Delta V}{V}
  4. D−γ2ΔVV-\gamma^{2} \frac{\Delta V}{V}

Correct answer

B. −ΔVV-\frac{\Delta V}{V}

Step-by-step solution

Differentiate PV=P V= constant w.r.t V⇒PΔV+VΔP=0⇒ΔPP=−ΔVVV\Rightarrow P \Delta V+V \Delta P=0 \quad \Rightarrow \frac{\Delta P}{P}=-\frac{\Delta V}{V}
Practice Thermodynamics on Quantrex Academy →

More from Thermodynamics

In the given cycle A B C D A , the heat required for an ideal monoatomic gas will be BITSAT 2024A gas can be taken from A to B via two different processes A C B and A D B . When path A… BITSAT 2024A source supplies heat to a system at the rate of 1000 W. If the system performs work at… BITSAT 2024On celcius scale the temperature of body increases by 40^ ^ ∘ C . The increase in… BITSAT 2024A hypothetical gas expands adiabatically such that its volume changes from 08 litres to… BITSAT 2023A thermodynamic system is taken through cyclic process. The total work done in the… BITSAT 2023An ideal gas at atmospheric pressure is adiabatically compressed so that its density… BITSAT 2021The compressibility of water is 4 × 10^ -5 per unit atmospheric pressure. The decrease in… BITSAT 2021 Full Thermodynamics list All BITSAT PYQs