Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainChemistryThermodynamics (C)

A rigid and insulated tank of 3   m 3 volume is divided into two compartments. One compartment of volume of 2   m 3 contains an ideal gas at 0 . 8314   MPa and 400   K and while the second compartment of volume 1   m 3 contains the same gas at 8 . 314   MPa and 500   K . If the partition between the two compartments is ruptured, the final temperature of the gas is

Options

  1. A420   K
  2. B450   K
  3. C480   K
  4. DNone of these

Correct answer

C. 480   K

Step-by-step solution

Moles of the gas in the first compartment: n 1 = P 1 V 1 RT 1 = 0.8314 × 1 0 6 × 2 8.314 × 4 0 0 = 5 0 0 Similarly, n 2 = 2000 The tank is a rigid and insulated, hence, w = 0 and q = 0 . Therefore, Δ U = 0 . Let T f and P f denote the final temperature and pressure, respectively. Δ U = n 1 C V, m T f - T 1 + n 2 C V, m T f - T 2 = 0 5 0 0 T f - 400 + 2 0 0 0 T f - 500 = 0 T f = 480 K

Practice Thermodynamics (C) on Quantrex Academy →

More from Thermodynamics (C)

An ideal gas ( 0.5 mol), initially at 2 bar pressure, is compressed at a constant temperature of 600 K in two steps: first, against a constant external pressure of P bar ( 2 < P < 2026List-I contains various physical/chemical processes, and List-II contains combinations of changes in enthalpy ( H ) and entropy ( S ). Match each entry in List-I to the appropriate 2026Consider the reaction 2 H ₂ S (g) + 3 O ₂(g) 2 H ₂ O (l) + 2 SO ₂(g) The magnitude of enthalpy change for the reaction in kJ mol ⁻¹ is ________. (Nearest integer) Given: _fH^ ( H ₂ 2026Match List - I with List - II. Given V₁ and V₂ are initial and final volumes respectively. List - I (Isothermal process) List - II (Expression) A. Reversible expansion I. q = 0 B. 2026Arrange the following isothermal processes in order of the magnitude of the work ( p - V ) involved between states 1 and 2 . A. Expansion in single stage w_A B. Expansion in multi 2026Consider the reaction X Y at 300 K. If H^ and K are 28.40 kJ mol ⁻¹ and 1.8 10⁻⁷ at the same temperature, then the magnitude of S^ for the reaction in J K ⁻¹ mol ⁻¹ is _______. (Ne 2026Consider the following data for the reaction X₂(g) + Y₂(g) 2XY(g) at 600 K . The _r G^ (in kJ mol ⁻¹ ) for the reaction is : Compound _f H^ _ 600K (kJ mol ⁻¹ ) S^ _ 600K (J mol ⁻¹ 2026The correct order of molar heat capacities measured at 298 K and 1 bar is : 2026 Full Thermodynamics (C) list All 99 Percentile Qs Bank for JEE Main PYQs