NEET Physics: Thermal Properties of Matter — Practice Set 6

Q1. How much heat is required to vaporize \( 0.15 \, \text{kg} \) of nitrogen at \( -196^\circ \text{C} \)? (Latent heat of vaporization of nitrogen = \( 2.0 \times 10^5 \, \text{J kg}^{-1} \))

Q2. What is the significance of the latent heat of fusion?

Q3. A \( 0.2 \, \text{kg} \) tungsten block at \( 250^\circ \text{C} \) is dropped into \( 0.5 \, \text{kg} \) water at \( 18^\circ \text{C} \) in a \( 0.1 \, \text{kg} \) silver calorimeter at \( 18^\circ \text{C} \). What is the final temperature? (Specific heat of tungsten = \( 134 \, \text{J kg}^{-1} \text{K}^{-1} \), water = \( 4186 \, \text{J kg}^{-1} \text{K}^{-1} \), silver = \( 236 \, \text{J kg}^{-1} \text{K}^{-1} \))

Q4. A \( 0.05 \, \text{kg} \) gold block at \( 1200^\circ \text{C} \) is placed in \( 0.5 \, \text{kg} \) water at \( 20^\circ \text{C} \). What is the final temperature? (Specific heat of gold = \( 134 \, \text{J kg}^{-1} \text{K}^{-1} \), water = \( 4186 \, \text{J kg}^{-1} \text{K}^{-1} \))

Q5. A metal cube has a volume of \( 1000 \, \text{cm}^3 \) at \( 0^\circ \text{C} \). What will be its volume at \( 100^\circ \text{C} \) if the coefficient of volume expansion is \( 5.4 \times 10^{-5} \, \text{K}^{-1} \)?

Q6. A \( 0.1 \, \text{kg} \) aluminium block at \( 80^\circ \text{C} \) is placed in \( 0.5 \, \text{kg} \) water at \( 25^\circ \text{C} \). Calculate the final temperature. (Specific heat of aluminium = \( 900 \, \text{J kg}^{-1} \text{K}^{-1} \), water = \( 4186 \, \text{J kg}^{-1} \text{K}^{-1} \))

Q7. How much heat is required to convert \( 0.3 \, \text{kg} \) of ice at \( -18^\circ \text{C} \) to water at \( 40^\circ \text{C} \) in a \( 0.1 \, \text{kg} \) copper calorimeter initially at \( 25^\circ \text{C} \)? (Specific heat of ice = \( 2100 \, \text{J kg}^{-1} \text{K}^{-1} \), latent heat of fusion = \( 3.35 \times 10^5 \, \text{J kg}^{-1} \), specific heat of water = \( 4186 \, \text{J kg}^{-1} \text{K}^{-1} \), copper = \( 386 \, \text{J kg}^{-1} \text{K}^{-1} \))

Q8. A brass ring has an inner diameter of \( 5 \, \text{cm} \) at \( 30^\circ \text{C} \). To what temperature must it be heated to increase the diameter to \( 5.009 \, \text{cm} \)? (\( \alpha_l = 1.8 \times 10^{-5} \, \text{K}^{-1} \))

Q9. A gas occupies a volume of \( 2 \, \text{L} \) at \( 27^\circ \text{C} \) and \( 1 \, \text{atm} \) pressure. What will be its volume at \( 127^\circ \text{C} \) if the pressure remains constant? (Use ideal gas law)

Q10. A gas at \( 17^\circ \text{C} \) and \( 2.5 \, \text{atm} \) occupies \( 5 \, \text{L} \). If the temperature is raised to \( 67^\circ \text{C} \) and the volume is adjusted to \( 7 \, \text{L} \), what is the final pressure?

Physics — Thermal Properties of Matter

Set 6 of 13

15:00

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1Question 1 of 10
Medium

How much heat is required to vaporize \( 0.15 \, \text{kg} \) of nitrogen at \( -196^\circ \text{C} \)? (Latent heat of vaporization of nitrogen = \( 2.0 \times 10^5 \, \text{J kg}^{-1} \))