NEET Physics — Thermal Properties of Matter

A $0.3 \, \text{kg}$ lead block at $400^\circ \text{C}$ is placed in $0.7 \, \text{kg}$ water at $15^\circ \text{C}$ in a $0.1 \, \text{kg}$ aluminium calorimeter at $15^\circ \text{C}$. Find the final temperature. (Specific heat of lead = $127.7 \, \text{J kg}^{-1} \text{K}^{-1}$, water = $4186 \, \text{J kg}^{-1} \text{K}^{-1}$, aluminium = $900 \, \text{J kg}^{-1} \text{K}^{-1}$)

How much ice at $0^\circ \text{C}$ will melt if $16744 \, \text{J}$ of heat is supplied? (Latent heat of fusion of ice = $3.35 \times 10^5 \, \text{J kg}^{-1}$)

A copper cube has a side length of $10 \, \text{cm}$ at $30^\circ \text{C}$. What is its volume at $130^\circ \text{C}$? ($\alpha_l = 1.7 \times 10^{-5} \, \text{K}^{-1}$)

A brass rod of length $2.5 \, \text{m}$ at $20^\circ \text{C}$ is heated to $220^\circ \text{C}$. If its cross-sectional area increases by $0.018 \, \text{cm}^2$, what was its original area? ($\alpha_l = 1.8 \times 10^{-5} \, \text{K}^{-1}$)

A gas expands from $4 \, \text{L}$ to $6 \, \text{L}$ at constant pressure of $2 \, \text{atm}$ and temperature $300 \, \text{K}$. What is the new temperature if the volume is reduced back to $4 \, \text{L}$ at constant pressure?