20. Heat and Temperature

A cube has an edge length of $10$ centimeters. What is its volume in cubic centimeters (${\mathrm{cm}}^3$)?

What is the volume of a sphere with a radius of $41$ inches, rounded to the nearest tenth of a cubic inch? (Use $\pi$ ≈ $3.1416$)

A cube has an edge length of $13$ feet. What is its volume?

A cube has an edge length of $11m$. What is its volume in cubic meters ($m^3$)?

Given a solid cylinder with initial radius $r$, height $h$, and a coefficient of volume expansion $\beta$, what is the new volume of the cylinder after a temperature increase of $\Delta T$?

An oblique cylinder is shown. Which of the following expressions correctly represents the volume of the cylinder?

A steel tank is completely filled with 1.90 m³ of ethanol when both the tank and the ethanol are at 32.0°C. When the tank and its contents have cooled to 18.0°C, what additional volume of ethanol can be put into the tank?

A geodesic dome constructed with an aluminum framework is a nearly perfect hemisphere; its diameter measures 55.0 m on a winter day at a temperature of -15°C. How much more interior space does the dome have in the summer, when the temperature is 35°C?

An aluminum sphere is 8.75 cm in diameter. What will be its % change in volume if it is heated from 30°C to 140°C?

The density of water at 4°C is 1.00 x 10³ kg / m³. What is water’s density at 94°C? Assume a constant coefficient of volume expansion.

A Pyrex measuring cup was calibrated at normal room temperature. How much error will be made in a recipe calling for 375 mL of cool water, if the water and the cup are hot, at 95°C, instead of at room temperature? Neglect the glass expansion.

The density of gasoline at 0°C is 0.68 x 10³ kg/m³. (a) What is the density on a hot day, when the temperature is 33°C? (b) What is the percent change in density?

It is observed that 55.50 mL of water at 20°C completely fills a container to the brim. When the container and the water are heated to 60°C, 0.35 g of water is lost.

(a) What is the coefficient of volume expansion of the container?

(b) What is the most likely material of the container? Density of water at 60°C is 0.98324 g/mL.