Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202523 Apr 2025Morning ShiftPhysicsThermodynamicsActual

A polyatomic gas is compressed to ( 1 8 )^ th of its volume adiabatically. If its initial pressure is P₀ , its new pressure will be [ . Given, . C_p C_v =4 / 3 ]

Options

  1. A6 P ₀
  2. B2 P ₀
  3. C8 P ₀
  4. D16 P ₀

Correct answer

D. 16 P ₀

Step-by-step solution

Adiabatic compression of a polyatomic gas follows PV^ = constant , with = C_p C_v = 4 3 . The volume is compressed to V_f = V₀ 8 , where V₀ is the initial volume. Using the relation P₀ V₀^ = P_f V_f^ with the given values, solve for the final pressure: P_f = P₀ V₀^ 4 3 ( V₀ 8 )^ 4 3 Simplify the fraction: P_f = P₀ 8^ 4 3 Evaluate the exponent: 8^ 4 3 = (8^ 1 3 )^4 = 2^4 = 16 , so: P_f = P₀ 16 = 16 P₀ Final pressure: D

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 MHT CET PYQs