1. How does the number of atoms in a 26.5-gram gold ring compare to the number in a silver ring or the same mass? (Atomic mass of gold : `197\ u`; Atomic mass of silver: `108\ u`)

2. In an alcohol-in-glass thermometer, the alcohol column has length `11.82\ cm` at `0.0°C` and length `22.85\ cm` at `100.0°C`. What is the temperature if the column has length (a) `16.70\ cm` and (b) `20.50\ cm`

3. The density of water at `4°C` is `1.00 times 10^3\ kg//m^3`. What is water's density at `94°C`?

4. To make a secure fit, rivets that are larger than the rivet hole are often used and the rivet is cooled before it is placed in the hole. A steel rivet `1.871\ cm` in diameter is to be placed in a hole `1.869\ cm` in diameter at `20°C`, To What temperature must the rivet be cooled if it is to fit in the hole? (`beta` of steel `= 12times10^(-6) //C°`)

5. 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? The density of water at 60°C is 0.98324 g/mL.

6. (a) Show that the change in the density `ρ` of a substance , when the temperature changes by `∆T`, is given by `∆ρ = -betaρ_0∆T.` (b) What is the fractional change in density of a lead sphere whose temperature decreases from `25°C` to `-40°C`?

7. The pendulum in a grandfather clock is made of brass and keeps perfect time at `17°C`. How much time is gained or lost in a year if the clock is kept at `25°C`? (Assume the frequency dependence on length for a simple pendulum applies.)