A plug made of brass is to be placed inside a ring made of quartz. At 20°C, the diameter of the plug is 12.563cm and the inside diameter of the ring is 12.549cm. They must both be cooled to what common temperature in order to fit? O 40°C O -102°C O 15°C O 75°C
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- If you have 0.251 m³ of water at 25.0 °C in an insulated container and add 0.112 m³ of water at 95.0 °C, what is the final temperature T; of the mixture? Use 1000 kg/m³ as the density of water at any temperature. °C Tf =Two 39.5-g ice cubes initially at 0°C are added to 460 g of water at 22.0°C. Assuming this system is insulated and ignoring heat transfer with the glass, what is the equilibrium temperature of the mixture? °CA quantity of mercury occupies 400.0 cm³ at 0°C. What volume will it occupy when heated to 50°C? Mercury has a volume expansion coefficient of 180 x 10-6 K-1. 450 cm3 401.8 cm3 O403.6 cm³ O409.7 cm3
- A cylindrical glass flask with a diameter of 8 cm and the height of 20 cm is fully filled with water at 20°C. When the temperature of the water (and consequently the inner surface of the flask) is raised to 100° C, determine the volume of the water that overflows? HINT 1: Don't forget to calculate the initial volume of the water and flask HINT 2: The volume expansion coefficient for ordinary glass and water can be found in the table of Week 4 (Slide #20). HINT 3: Calculate the volume expansions for both water and the flask HINT 4: The difference between the final volume of water and the final volume of the flask is the amount of overflow. PLEASE UPLOAD YOUR HANDWRITTEN SOLUTION BY CLICKING ON THE "ADD A FILE" BUTTON.The boiling point of a liquid is 28.3°C. A portion of the liquid is at equilibrium with its vapor at 22.3°C in a sealed flask. The temperature rises to to 32.6°C.What happens inside the container? Liquid is converted to vapor, the new equilbrium mixture contains less liquid and more vapor. The vapor is all converted to liquid. Vapor is converted to liquid, the new equilibrium mixture contains more liquid and less vapor. The liquid is all converted to vapor.A highway is made of concrete slabs that are 16.2 m long at 20.0°C. Expansion coefficient of concrete is α = 12.0 × 10−6 K−1. If the temperature range at the location of the highway is from −20.0°C to +36.9°C, how large are the gaps at −20.0°C? in mm
- At a temperature of 22.00°C the hole in a steel plate has a diameter of 1.030 cm. If a steel rod with a diameter of 1.037 cm has to just slip through this hole, to what temperature should the plate be heated? The coefficient of area expansion of steel is 24 x 10-6/°C. °CSuppose you have two meter sticks, one made of steel and one made of invar (an alloy of iron and nickel), which are the same length (1.00 m) at 0°C. The coefficients of volume expansion for steel and invar are 3.6 × 10-5 /°C and 2.7 × 10-6 /°C respectively. apparently, you need to use the volume expansion formula below & have B=3a. have no idea how to turn the length into a volume for this problem. have no idea what value alpha is...A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3. a. If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.
- A 1.50-kg iron horseshoe initially at 650°C is dropped into a bucket containing 13.0 kg of water at 22.0°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. °CAt a temperature of 22.00°C the hole in a steel plate has a diameter of 1.040 cm. If a steel rod with a diameter of 1.049 cm has to just slip through this hole, to what temperature should the plate be heated? The coefficient of area expansion of steel is 24 ✕ 10−6/°C. ________________________ °CBrass 0.030 m 5.0 µm Brass has linear thermal expansion coefficient a = 19 × 10-6rC . The picture shows a design defect in an electrical assembly: if the screw expands enough to touch the surface on the left, a dangerous short circuit will occur. The picture shows the assembly at 15°C. What is the maximum tempe ure the assembly can tolerate? 46.9°C 32.6°C 23.7°C 27.4°C 19.3°C