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Which of the following properties will change when system containing solution 1 will become solution 2?
Solution state transition grid for Q35 - JEE Main 2025 Morning
The flowchart maps Solution 1 containing 10 mol solute in 10 L water transitioning to Solution 2 containing 1 mol solute in 1 L water.

Solution & Explanation

### Core Logic Let us compute the concentration of both solutions: textConcentration of Solution 1 = frac10text mol10text L = 1text mol/L textConcentration of Solution 2 = frac1text mol1text L = 1text mol/L Since concentration is identical, both systems share matching compositions. Consequently, all **intensive properties** (independent of mass/size) like concentration, density, and molar heat capacity remain exactly equal. ### Step 1: Identifying the Variable Gibbs free energy (G) is an **extensive property** that scales directly with the amount of matter in the system. Because Solution 1 contains a larger total mass and volume than Solution 2, its overall Gibbs free energy value is different. ### Pattern Recognition Shortcut: Look for the only extensive property in the options. Density, concentration, and molar parameters are always intensive. Gibbs free energy (G) scales with total matter quantity. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 11 Chemistry: Chemical Thermodynamics

Reference Study Guides

More Chemical Thermodynamics Previous-Year Questions — Page 4

Q38 2025 First Law of Thermodynamics and Heat Capacity
500 mathrm~J of energy is transferred as heat to 0.5 mathrm~mol of Argon gas at 298 mathrm~K and 1.00 mathrmatm . The final temperature and the change in internal energy respectively are : Given: mathrmR = 8.3 \, mathrmJK^-1 mathrmmol^-1
  • A. 348mathrmK and 300mathrmJ
  • B. 378mathrmK and 300mathrmJ
  • C. 368mathrmK and 500mathrmJ
  • D. 378mathrmK and 500mathrmJ

Solution

### Related Formula q_p = n cdot C_p cdot Delta T fracDelta HDelta U = fracC_pC_v ### Core Logic Argon is a monoatomic gas, hence: C_v = frac32R, quad C_p = frac52R Given heat supply happens at constant atmospheric pressure parameter conditions (1.00text atm), so q = q_p = Delta H = 500text J . Step 1: Compute Final Temperature 500 = 0.5 cdot left(frac52 cdot 8.3 ight) cdot (T_f - 298) 500 = 1.25 cdot 8.3 cdot (T_f - 298) implies 500 = 10.375 cdot (T_f - 298) T_f - 298 = frac50010.375 simeq 48.2 implies T_f simeq 346.2mathrmK ightarrow 348mathrmK Step 2: Compute Change in Internal Energy Delta U = n cdot C_v cdot Delta T Alternatively, using the ratio : Delta U = fracC_vC_p cdot Delta H = frac35 cdot 500 = 300mathrmJ This maps perfectly to option (1). ### Pattern Recognition For monoatomic ideal gases under constant external pressure systems, exactly 60\% of the net enthalpy transfer (\% Delta H) goes towards internal kinetic velocity changes (Delta U). ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 11 Chemistry: Chemical Thermodynamics

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