Grade 11 : Physics - Thermal Properties (Set 2)

A weather station records an ambient air temperature of $30^\circ\text{C}$. What is this temperature on the Fahrenheit scale?

A copper rod of initial length 2.0 m at $20^\circ\text{C}$ is heated to $70^\circ\text{C}$. If the coefficient of linear expansion of copper is $1.7 \times 10^{-5}\text{ K}^{-1}$, what is the increase in the length of the rod?

For an isotropic solid body, if the coefficient of linear expansion is $\alpha$, what is its coefficient of volumetric thermal expansion $\gamma$?

Water exhibits anomalous expansion between $0^\circ\text{C}$ and $4^\circ\text{C}$. At what temperature does pure water attain its maximum density under atmospheric pressure?

How much heat energy is required to raise the temperature of 0.5 kg of aluminum from $25^\circ\text{C}$ to $45^\circ\text{C}$? (Specific heat capacity of aluminum $c = 900\text{ J/(kg}\cdot\text{K)}$).

A student mixes 0.2 kg of water at $80^\circ\text{C}$ with 0.3 kg of water at $20^\circ\text{C}$ in a perfectly insulated calorimeter. What is the final equilibrium temperature of the mixture?

How much heat energy is required to completely melt 0.4 kg of ice at $0^\circ\text{C}$ into liquid water at $0^\circ\text{C}$? (Latent heat of fusion of ice $L_f = 3.33 \times 10^5\text{ J/kg}$).

A metal rod of length 0.5 m and cross-sectional area $4 \times 10^{-4}m^2$ has its opposite ends maintained at $100^\circ\text{C}$ and $0^\circ\text{C}$. If thermal conductivity $k = 200\text{ W/(m}\cdot\text{K)}$, find the steady-state heat flow rate.

A steel rail of length 10 m is rigidly fixed at both ends at $20^\circ\text{C}$. If the temperature increases to $40^\circ\text{C}$, calculate the thermal stress in the rail. ($Y = 2 \times 10^{11}\text{ N/m}^2$, $\alpha = 1.2 \times 10^{-5}\text{ K}^{-1}$).

What is the precise temperature assigned to the triple point of water on the Kelvin scale standard?

An ideal black body at an absolute temperature of 300 K radiates thermal power at a rate $E$. If its temperature is increased to 600 K, what is the new radiated power?

The wavelength of maximum emission intensity for a black body at temperature $T_1 = 4000\text{ K}$ is $\lambda_1 = 600\text{ nm}$. What is the peak wavelength $\lambda_2$ when its temperature drops to $T_2 = 3000\text{ K}$?

A body cools from $80^\circ\text{C}$ to $60^\circ\text{C}$ in 5 minutes in surroundings at $30^\circ\text{C}$. Based on Newton's law of cooling, how long will it take to cool from $60^\circ\text{C}$ to $40^\circ\text{C}$?

Two thermal conductors have equal length and cross-sectional area, but their thermal conductivities are $k_1 = 100\text{ W/(m}\cdot\text{K)}$ and $k_2 = 300\text{ W/(m}\cdot\text{K)}$. Find the ratio of their thermal resistances $R_1 : R_2$.

A bimetallic strip consists of a brass strip and an iron strip bonded together. Given that $\alpha_{\text{brass}} > \alpha_{\text{iron}}$, how does the strip behave when heated?

A sheet of metal has an initial surface area of $2.0m^2$ at $10^\circ\text{C}$. If its linear expansion coefficient is $\alpha = 2.0 \times 10^{-5}\text{ K}^{-1}$, what is the increase in area when heated to $60^\circ\text{C}$?

A copper block has a mass of 4 kg and a specific heat capacity of $385\text{ J/(kg}\cdot\text{K)}$. What is the total heat capacity (thermal capacity) of this block?

Water at $100^\circ\text{C}$ requires $2.26 \times 10^6\text{ J}$ of energy to completely convert 1 kg into steam at $100^\circ\text{C}$. What is the latent heat of vaporization of water?

When a liquid stored inside a glass vessel is heated, the observed apparent expansion is less than its real thermal expansion. What accounts for this difference?

Two metal rods of identical dimensions are connected end to end in series. Rod 1 has conductivity $k_1 = 100\text{ W/(m}\cdot\text{K)}$ and Rod 2 has $k_2 = 300\text{ W/(m}\cdot\text{K)}$. If the outer ends are held at $100^\circ\text{C}$ and $0^\circ\text{C}$ respectively, what is the steady-state temperature $T$ at the interface?