NEET Physics: Thermal Properties of Matter — Practice Set 8

Q1. 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 = \( 900 \, \text{J kg}^{-1} \text{K}^{-1} \))

Q2. How much ice at \( 0^\circ \text{C} \) will melt if \( 16744 \, \text{J} \) of heat is supplied? (Latent heat of fusion of ice = \( 3.35 \times 10^5 \, \text{J kg}^{-1} \))

Q3. A copper cube has a side length of \( 10 \, \text{cm} \) at \( 30^\circ \text{C} \). What is its volume at \( 130^\circ \text{C} \)? (\( \alpha_l = 1.7 \times 10^{-5} \, \text{K}^{-1} \))

Q4. 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? (\( \alpha_l = 1.8 \times 10^{-5} \, \text{K}^{-1} \))

Q5. 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?

Q6. A gas at \( 1.5 \, \text{atm} \) and \( 77^\circ \text{C} \) occupies \( 9 \, \text{L} \). If the pressure is reduced to \( 1 \, \text{atm} \) and temperature lowered to \( 27^\circ \text{C} \), what is the new volume?

Q7. A gas at \( 3 \, \text{atm} \) and \( 27^\circ \text{C} \) occupies \( 4 \, \text{L} \). If the pressure is reduced to \( 1.5 \, \text{atm} \) and temperature raised to \( 177^\circ \text{C} \), what is the new volume?

Q8. Which property of a substance determines the amount of heat required to change its temperature by \( 1^\circ \text{C} \) per unit mass?

Q9. Which gas law relates pressure and volume when temperature is held constant?

Q10. Which law explains why the volume of a gas increases when its temperature rises at constant pressure?

Physics — Thermal Properties of Matter

Set 8 of 13

15:00

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1Question 1 of 10
Medium

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 = \( 900 \, \text{J kg}^{-1} \text{K}^{-1} \))