A 1.50-kg iron horseshoe initially at 660°C is dropped into a bucket containing 22.5 kg of water at 21.0°C. What is the final temperature of the water-horseshoe system? Ignore the heat capacity of the container and assume a negligible amount of water boils away.
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- Q:33)An unknown substance has a mass of 0.250 kg and an initial temperature of 90.0°C. The substance is then dropped into a calorimeter made of aluminum containing 0.300 kg of water initially at 25.0°C (assume the water and calorimeter start in thermal equilibrium). The mass of the aluminum container is 0.200 kg, and the temperature of the calorimeter increases to a final equilibrium temperature of 32.0°C. Assuming no thermal energy is transferred to the environment, calculate the specific heat of the unknown substance. The specific heat of water is 4186 J/(K*mol) and aluminum is 900 J/(K*mol).Indirect Cooling With Liquid Nitrogen. You are designing a system to cool an insulated silver plate of dimensions 2.00 cm x 2.00 cm x 0.60 cm. One end of a thermally insulated copper wire (diameter D = 2.60 mm and length L = 14.0 cm) is dipped into a vat of liquid nitrogen (T= 77.2 K), and the other end is attached to the bottom of the silver plate. (a) If the silver plate starts at room temperature (70.0 °F), what is the initial rate of heat flow between the plate and the liquid nitrogen reservoir? (b) Assuming the rate of heat flow calculated in part (a), estimate the temperature of the silver plate after 35.0 seconds. (a) Number (b) Number Units Units >
- A cylinder container is divided into two equal sections by thermally isolated, frictionless piston,as shown in the figure. One section contains water and the other air. The cylinder is isolated except the one face of the water section. Each section has an initial volume of 100 liter. The initial temperature of the air is 40 degees C and the water is 90 degrees C with steam quality of 10%. The water are heated slowly until the entire section of the water is filled with saturated steam. Find the final pressure and the amount of heat transported to the container. Assume: the heat transfer is a reversible process. Assume for ideal gas the following relation between p and v: (p2/p1)^((k-1)/k) = (v1/v2)^k-1 ; k=1.4The "steam" above a freshly made cup of instant coffee is really water vapor droplets condensing after evaporating from the hot coffee. What is the final temperature of 205 g of hot coffee initially at 98.0°C if 3.18 g evaporates from it? The coffee is in a Styrofoam cup, and so other methods of heat transfer can be neglected. Assume that coffee has the same physical properties as water; its latent heat of vaporization is 539 kcal/kg and its specific heat is 1.00 kcal/(kg · °C).An object of mass 7.90 kg falls through a height of 40.0 m and, by means of a mechanical linkage, rotates a paddle wheel that stirs 0.620 kg of water. Assume that the initial gravitational potential energy of the object is fully transferred to thermal energy of the water, which is initially at 13.0°C. What is the temperature rise of the water?