A temperature appears the same in both the Fahrenheit and Celcius thermometers. What is its value?

You’re following a recipe that requires you to bake a cake at 350°F. To understand this temperature in Celsius, what is the equivalent value?

A hydraulic system has various parts like a barrel, rod, and piston. The piston fits tightly in the barrel and movements involve hydraulic oil and piston pushing on each other encased in the barrel.  Take the temperature of the hydraulic system to vary between 10°C and 180 °C, and that linear expansion coefficients are constant for the entire temperature range. If an aluminum piston fits in a copper barrel at 10°C, will the hydraulic work at the higher operating temperatures? Why?

A steel telecommunication tower constructed during the winter is measured to have a height of 502 ft when the temperature is 13.0°C. During the summer, the length of the tower is found to have increased by 0.138 ft. Determine the temperature during summer. It may be necessary to assume that the tower and the surroundings are in thermal equilibrium.

A geologist studying stalagmite sediment rates in a 10 °C cave uses a 300.00 cm-long brass (accurate to 0.01 cm) measurement tool calibrated at 25 °C. The geologist quantifies stalagmite sediment to be 37.55 cm long. How should the geologist correct the values before publishing the results?

The shot put is an event involving throwing a heavy, spherical ball as far as possible. The shot is made of brass and has a diameter of 115 mm at 20 °C. Find the change in the shot volume (ΔV) if it is stored in the summer at a location where the temperature is 50°C.

Some individuals consider it faster and time-saving to boil water in an electric kettle before transferring it into cookware for subsequent use. If a 2200 W electric kettle is used to heat 1.80 kg of water from 25°C to 90°C, determine the period required to boil the water. Assume water absorbs 100% of the heater's power. 

A 1.5 m in diameter and 35 cm deep glass vessel is filled with ethyl alcohol. Heat is supplied at an average rate of 450 W/m². Find the time required to raise the temperature of the ethyl alcohol from 25°C to 40°C if all the heat is absorbed by the ethyl alcohol. Assume there is no heat loss to surroundings.

How much heat is lost when an aluminum cube of length 0.12 m cools from 140°C to 20°C?

An adventurer collects a 600 g sample of an enigmatic metal with an initial temperature of 8°C. The adventurer immerses the metal in a 120 g  copper vessel filled with 420 g of water at 95°C. After a while, the temperature of the water, metal, and vessel reaches equilibrium at 75°C. Identify the metal in the sample.

Suppose you mix 200 g of water at 80°C with 100 ml of ethanol at 20°C. What will be the final temperature of the mixture if the specific heat of water is 4.18 J/g°C and that of ethanol is 2.44 J/g°C? Assume that there is no heat loss to the surroundings and the ethanol does not evaporate. The density of ethanol is 789 kg/m³.

A student put 100 g of metal heated to 150 °C, in a 250 g copper calorimeter filled with 250 g of water. The initial temperature of the calorimeter and water is 30 °C. What would the final temperature (T_f) of the system be if the metal's specific heat capacity was 498 J/kg•°C? Assume that there is no heat transferred to the environment.