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Physics - Heat - Problems with Solutions and Tutorials

heat

How much heat is needed to heat 10g of ice from 0 C to steam at 100 C? (hint: phase change involved)

How much heat is needed to heat 10g of water from 0 C to water at 100 C? (hint: NO phase change)

Answer: 30131 J if phase change, 4181 J if no phase change

Solver Input: dQ=?,m=10g,Ti=0C,Tf=100C

Tutorial video:

heat

20 kg of potion has a specific heat capacity of 0.8 cal/g/C, and is inside a calorimeter at a temperature of 95 C. Ron adds 5 kg of pure silver at 4 C to the potion to cool it off. If the calorimeter is negligible, what is the final temperature of the potion after the silver is added? Silver has a specific heat capacity of 0.235 J/g/K

Harry realized that the 18 kg pewter calorimeter has a specific heat capacity of 0.2 J/g/K. Based on this new information what is the final temperature?

Hermione realized that the potion will only work if it's cooled by pure silver to a final degrees of at least 90 C. How much silver does she need to add?

Answer: Tf=93.4 C if calorimeter ignored. Tf=93.5 C if calorimeter considered. 17.5kg needed to bring Tf to 90 C

Solver Input: see tutorial video

Tutorial video:

heat

Object 1 has a mass of 123 grams, a specific heat capacity of 0.9 cal/g/C, and at an initial temperature of 40 C. Object 2 has a mass of 321 grams, a specific heat capacity of 0.3 cal/g/C, and at an initial temperature of 20 C. The two objects are brought together. What is the final temperature?

Object 3 comes in with a mass of 222 grams, a specific heat capacity of 1 cal/g/C, and at an initial temperature of 33 C. What is the final temperature of this new 3 object system?

Answer: 30.7 C for 2 object system. 31.9 C for 3 object system.

Solver Input: m1=123g,c1=0.9cal/g/C,Ti1=40C,m2=321g,c2=0.3cal/g/C,Ti2=20C,Tf=?C

Tutorial video:

heat

Hotel Jadis is made entirely of ice at 0 degrees Celsius. Walls, beds, toilets too...

The typical human urine is about 80 mL at 37 C. How much ice can your urine melt? Note: when you pee, some toilet will melt, some urine will freeze, and a final equilibrium temperature of 0 C is established.

In the real world, the urine probably won't freeze. If so, how much toilet will you melt?

It's a crime to destroy ice sculpture. All Jadis toilets are masterpieces made of 20kg of ice. How much urine are you allowed to pass?

Answer: frozen urine melts more ice. You are allowed to pass 43 L of urine.

Solver Input: see tutorial video

Tutorial video: