Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Physics
Chapter
Thermodynamics

BITSAT 2021 · Physics · Thermodynamics

The compressibility of water is 4 × 10^ -5 per unit atmospheric...

The compressibility of water is 4×10−54 \times 10^{-5} per unit atmospheric pressure. The decrease in volume of 100cm3100 \mathrm{ cm}^{3} of water under a pressure of 100 atmosphere will be

Options

  1. A0.4cm30.4 \mathrm{ cm}^{3}
  2. B4×10−5cm34 \times 10^{-5} \mathrm{ cm}^{3}
  3. C0.025cm30.025 \mathrm{ cm}^{3}
  4. D0.004cm30.004 \mathrm{ cm}^{3}

Correct answer

A. 0.4cm30.4 \mathrm{ cm}^{3}

Step-by-step solution

Compressibility =1B=ΔV/VP=\frac{1}{\mathrm{ B}}=\frac{\Delta \mathrm{V} / \mathrm{V}}{\mathrm{P}}. Here, P=100atm\mathrm{P}=100 \mathrm{ atm} Compressibility =4×10−5=4 \times 10^{-5} and V=100cm3\mathrm{V}=100 \mathrm{ cm}^{3} Hence, ΔV=0.4cm3\Delta \mathrm{V}=0.4 \mathrm{ cm}^{3}
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 2021In an adiabatic process, the pressure is increased by (2)/(3) \%. If γ=(3)/(2), then the… BITSAT 2020 Full Thermodynamics list All BITSAT PYQs