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Ice at 0 deg C, water at 50 deg C, and steam at 100 deg C are available. For each mixing scenario in Column-I, match the final equilibrium temperature from Column-II. Assume no heat loss. (Latent heat of fusion = 80 cal/g, latent heat of vaporisation = 540 cal/g, specific heat of water = 1 cal/g deg C) Column-I: (I) 20 g ice + 40 g water at 50 deg C (II) 50 g ice + 10 g steam (III) 100 g water at 50 deg C + 10 g steam (IV) 60 g ice + 16 g water at 50 deg C + 5 g steam Column-II: (P) 0 deg C, (Q) 6.67 deg C, (R) 40 deg C, (S) 50 deg C, (T) 100 deg C
- I -> P; II -> R; III -> T; IV -> P
- I -> Q; II -> R; III -> T; IV -> T
- I -> Q; II -> R; III -> T; IV -> P
- I -> P; II -> T; III -> T; IV -> P
Correct answer: I -> Q; II -> R; III -> T; IV -> P
Solution
Each case requires a heat budget. Compare heat released by hot components with heat absorbed by cold components to determine the final state and temperature.
Related JEE Advanced Physics questions
- Match the temperature of a blackbody listed in Group-I to the corresponding statement in Group-II, and select the correct answer.
[Given: Wien’s constant = 2.9 × 10⁻³ m-K and hc/e = 1.24 × 10⁻⁶ V-m]
Group-I:
(P) 2000 K
(Q) 3000 K
(R) 5000 K
(S) 10000 K
Group-II:
(1) The peak wavelength of emitted radiation can cause photoelectron ejection from a metal with a work function of 4 eV.
(2) The peak wavelength of emitted radiation falls within the visible spectrum.
(3) The peak wavelength of emitted radiation produces the broadest central diffraction maximum in a single-slit setup.
(4) The energy radiated per unit area is one-sixteenth of that emitted by a blackbody at 6000 K.
(5) The peak wavelength of emitted radiation is suitable for imaging human bones.
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- A continuous-flow calorimeter is used in two separate experiments to find the specific heat of a liquid. In the first trial, supplying 60 W raises the liquid temperature by 10 K. In the second trial, the power is doubled to 120 W, but the same 10 K rise is maintained by tripling the flow rate. Assuming heat loss to surroundings is the same in both trials, what is the power lost to the surroundings?
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