c. A group of physics students performed an experiment about specific heat of liquids. A liquid of unknown specific heat at a temperature of 20°C was mixed with water at 80°C in a well-insulated container. The final temperature was measured to be 50°C and the combined mass of the two liquids was measured to be 240 g. In a second trial with both liquids at the same initial temperature, 20 g less of the liquid of unknown specific heat was poured into the same amount of water as before. This time the equilibrium temperature was found to be 52°C. What is the value of the specific heat of the liquid does the group determined?

Newton's Law of Cooling The temperature, u, of a heated object at a given time t can be modeled by the equation u(t) = T+ (uo - T)et where k < 0 is a constant, T is constant ambient temperature, and up is the initial temperature of the heated object. Suppose that an object has been heated to 90 degrees celsius and is then allowed to cool in a room that is kept at a constant 45 degrees celsius. If the temperature of the object is 73 degrees celsius after 8 minutes, when will its temperature be 58 degrees celsius? minutes.

You take an aluminum cylinder with a mass m = (315± 2) g out of a furnace at temperature T = (250 ± 5)C °and place it in a large bath of cool water. The final 1 temperature of the cylinder and water is T2 = (29 ±1) C° . How much heat flows from the cylinder to the water, and what are the absolute and relative errors in the heat transfer out of the cylinder? The heat transfer is given by Q = mc T ∆where ∆T is the change in temperature and c = (0.215± 0.005)cal/g C is ⋅t°he specific heat of aluminum.

Part 1: Bullet A 52 g bullet is fired from a height of 458 m. The initial speed of the bullet is 140 m/s. The bullet eventually comes to rest in a bucket containing 2.9 kg of olive oil that is at ground level. As a result of bringing the bullet to a stop (any change in PE while in the olive oil is negligible), how much does the temperature of the olive oil increase (express the answer in K)? Also determine how fast the bullet is going at impact. Ignore air drag and assume that all of the thermal energy generated goes into heating the olive oil. Impact speed = AT= Part 2: Nail A 0.52 kg hammer strikes a 28 g copper nail into wood board. The nail is horizontally aligned and at the moment of impact with the nail, the hammer had a speed of 8.9 m/s. Assume both the hammer and the nail come to a stop and that all of the thermal energy generated goes into heating the nail. Determine how much the temperature of the nail will increase after one hit and how many hits it will take to increase its…

In an experiment measuring the latent heat of fusion of water, the following procedure was followed. Ice cube of mass 35.0 g at an initial temperature of 0.0°C is dropped into 225.0 g of 65.0°C water in an aluminum container. The mass of the aluminum container is 44 .0 g and the final equilibrium temperature is 46.0℃. Determine whether any heat is lost or gained in this experiment to the environment. If yes, how much? (For water: c = 1.00 cal/g×°C and Lf = 77.9 cal/g; for Al: c = 0.215 cal/g×°C

What is the rate of heat transfer in J/s through the body's skin and the fat layer just beneath its surface? Treat the skin and fat as a single layer that is 1.20 cm thick. Assume the temperature of the inner surface of the layer corresponds to internal body temperature, or 36.7 °C, and the temperature of the outer surface of the layer corresponds to skin temperature, or 34.0 °C. Take the total surface area of the layer to be 1.50 m² and use a value of 0.413 W/(m-C°) for the average thermal conductivity of the layer. Number Units

A sealed cubical container contains helium gas at a temperature of 22.5°C. What is the average velocity of one of these helium atoms?  A helium atom has a mass of 6.64x10-27 kg kB = 1.38 x 10-23 J/K

a.) An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is halved and the pressure is tripled? b.) An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is doubled and the pressure is tripled? c.) If you have two jars containing the same amount, n1=n2, and type of gas (for example, oxygen) and they are at the same temperature, T, what can you say about their pressure if the first jar has four times the volume of the second, V1 = 4V2?  Hint: use pV=nRT

A certain mass, m, of water has thermal energy added to it until the water is at the boiling point.  Additional thermal energy is added until the entire mass, m, has been phased changed into steam.   a) The temperature of the steam will be less than that of the water at the boiling point.  b) The temperature of the steam will be greater than that of the water at the boiling    point.  c) The temperature of the steam will be the same as that of the water at the boiling    point.  d) The temperature of the steam will be zero.  e) The temperature of the steam will be 2256000K.

Heating substances in the sun: The following table shows the temperature after 10.0 grams of four different substances have been in direct sunlight for up to 60 minutes. Time (minutes) O (initial) 15.0 min 30.0 min 45.0 min 60.0 min Temperature (°C) 70 60 50 40 PART I: Experiment 1. Create a line graph for each substance on graph below. (You can use Excel or similar program) Label the substances. Temperature vs Heating Time 30 20 0 Air (°C) 25°C 28.9°C 32.5°C 36.2°C 40°C 10 Water (°C) 25°C 26.2°C 27.5°C 28.8°C 30°C 20 Time (minutes) 30 40 Sand (C) 25°C 30°C 50 35°C 40°C 45°C 60 Metal (°C) 25°C 35°C 45°C 55°C 65°C