Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Manipal MET2013PhysicsThermodynamics

A ballon contains 1500 ~m ^3 of a helium at 27^ C and 4 itmospheric pressure. The volume of helium at -3^ C temperature and 2 atmo snheric pressure will be

Options

  1. A2700 ~m ^3
  2. B1900 ~m ^3
  3. C1700 ~m ^3
  4. D1500 ~m ^3

Correct answer

A. 2700 ~m ^3

Step-by-step solution

The general gas equation is P₁ V₁ T₁ = P₂ V₂ T₂ = gas constant where p₁, V₁, p₂, V₂ are pressure and volume at temperatures T₁ and T₂ respectively. Given V₁=1500 ~m ^3, T₁=27+273=300 ~K , aligned p₁ & =4 ~atm T₂ & =-3 ^ C =273-3=270 ~K , p₂=2 ~atm V₂ & = p₁ V₁ T₁ T₂ p₂ V₂ & = 4 1500 300 270 2 V₂ & =2700 ~m ^3 aligned

Practice Thermodynamics on Quantrex Academy →

More from Thermodynamics

Following graph shows four different processes, adiabatic, isothermal, isobaric and isochoric for an ideal gas, from the same initial state. Study the graph carefully and state whi 2026Two vessels A and B contain same mass of Oxygen and Hydrogen respectively at the same temperature. The volume of B is twice that of A. The ratio of gas pressure in A to that in B i 20261 kg of water at 100^ C is converted to steam at the same temperature. Volume of 1 cc of water changes to 1671 10^3 cc on boiling. The change in internal energy of the system is (L 2026The efficiency of a Carnot's heat engine is 1 3 . If the temperature of the source is decreased by 50^ C and the temperature of the sink is increased by 25^ C , the efficiency of t 2025The change in internal energy of given mass of a gas, when its volume changes from V to 3 V at constant pressure P is ( - Ratio of the specific heat capacities of the gas) 2025A monatomic gas at a pressure of 100 kPa expands adiabatically such that its final volume becomes 8 times its initial volume. If the work done during the process is 180 J, then the 2025The ratio of the efficiencies of two Carnot engines A and B is 1.25 and the temperature difference between the source and the sink is same in both the engines. The ratio of the abs 2025The heat supplied to a gas at a constant pressure of 5 10^5 ~Pa is 1000 kJ. If the volume of gas changes from 1 ~m ^3 to 2.5 ~m ^3 , then the change in internal energy of the gas i 2025 Full Thermodynamics list All Manipal MET PYQs