Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping
Simran Bhatia Grade: 11
         The initial pressure and volume of a given mass of a gas (Cp/Cv = γ) are p0 and V0. The gas can exchange heat with the surrounding. (a) It is slowly compressed to V0/2 and then suddenly compressed to V0/4. Find the final pressure. (b) If the gas is suddenly compressed from the volume V0 to V0/2 and then slowly compressed to V0/4, what will be the final pressure?
3 years ago

Answers : (1)

Kevin Nash
askIITians Faculty
332 Points
										Sol. Given C base P/C base v = γ P base 0 (Initial Pressure), V base 0 (Initial Volume)
(a) (i) Isothermal compression, P base 1V base 1 = P base 2V base 2 or, P base 0V base 0 = P base 2V base 0/2 ⇒ P base 2 = 2P abse 0
(ii) Adiabatic Compression P base 1V base 1^γ = P base 2V base 2^γ or 2P base 0 (V base 0/2)^γ = P^1 (V base 0/4)^γ
⇒ P’ = V base o^γ/2^γ * 2P abse 0 * 4^γ/V base 0^γ = 2^γ * 2 P base 0 ⇒ P base 02^γ+1
(b) (i) Adiabatic compression P base 1V base 1^γ = P base 2V base 2^γ or P base 0V base 0^γ = P’(V base 0/2) ^γ ⇒ P’ = P base 2^γ
(ii) Isothermal compression P base 1V base 1 = P base 2V base 2 or 2^γ P base 0 * V base 0)/2 = P base 2 * V base 0/4 ⇒ P base 2 = P base 02^γ+1

3 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details
  • Electricity and Magnetism
  • OFFERED PRICE: Rs. 1,696
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details