On a hot summer day, you decide to make some iced tea. First, you brew 1.50 L of hot tea and leave it to steep until it has reached a temperature of Ttea = 75.0°C. You then add 0.975 kg of ice taken from the freezer at a temperature of Tice = 0 °C. By the time the mix reaches equilibrium, all of the ice has melted. What is the final temperature Ti of the mixture? For the purposes of this problem, assume that the tea has the same thermodynamic properties as plain water. • The specific heat of water is c = 4190 J/kg ° C • The heat of fusion of ice is Lf = 3.33x105 J/kg • The density of the tea is Ptea = 1.00 kg/L

A steel rod and a bronze rod are heated. At zero degree Celsius, the steel rod has a Ls  and the bronze rod has a length of Lb. When the rods are heated or cooled, the difference between their length stays constant at 5.00 cm. Determine the values of Ls and Lb.

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Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a)What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 24.8°C and rises to an altitude where its volume is sixteen times the original volume and its temperature is  −41.7°C?  (Enter your answer to at least 3 decimal places) _______________ atm   (b)What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.) ________________ atm

Before leaving on a trip to Melbourne Beach, Florida, you measure the pressure inside the tires of your car at a gas station. At – 7.5 C (chilly!), the tire pressure is 206.5 kPa. When you arrive in Florida, you check the tire pressure and find it is now 236.5 kPa. What is the temperature in Melbourne Beach?