3. In an insulated vessel, 500 g of ice at -5\'C is added to 250 g of water at 5

Question

3. In an insulated vessel, 500 g of ice at -5'C is added to 250 g of water at 50.0°c. (a) What is the final temperature of the system? (b) How much ice remains when the system reaches equilibrium? Specific heat for water and ice are Cw-4186 JOkg·C) and Cue-2108 J/(kg·C), respectively, and latent heat of fusion for water is Le 3.33 x 105 J/kg NOTES: - If all ice melts OR if no ice melts, please state so - SI unit for mass is kg: 1 kg 1000 g - Think about processes that take place, heating/cooling vs. melting/freezing - Care should be taken when selecting formulas so that the right one is applied A particular heat engine has a useful power output of 6.50 k W and an efficiency of 37.5%. In each cycle, the engine expels 8.75 kJ of exhaust energy. Find 4. (a) the energy taken in during each cycle (b) the time interval for each cycle (c) If the Carnot's engine of the same efficiency operates with the cold reservoir at room's temperature (22C), find the temperature of the hot reservoir of the Carnot's engine. NOTES Power rate at which Energy or Work are used (or P- W/t) -Prefix "kilo" means “1000 times" - Care should be taken when applying formulas to ensure that properties with the correct units are used

Explanation / Answer

3)
To melt 1 g ice you need 333 Joule.

The 250 g water, cooled down to from 50 to 0° C provide 250 * 4.19 *
(50 – 0) = 52,375 Joule

So 52375 / 333 = 157.28 g

a. The final temperature will be 0° C.

b. 500 – 157.28 = 342.72 g ice will remain.

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.