Category: HC Verma Part 2: Heat & Thermo

Problem Statement Solve the thermodynamics problem: A 1-litre glass vessel is completely filled with water at 4°C. What volume of water overflows if it is heated to 14°C? ($\gamma_{water} = 1.5 \times 10^{-4}$ °C$^{-1}$ between 4°C and 14°C, $\gamma_{glass} = 2.7 \times 10^{-5}$ °C$^{-1}$) $V_0 = 1$ L $= 10^{-3}$ m³ $\Delta T = 10°C$…

Problem Statement A pendulum clock keeps correct time at 20°C. The pendulum is made of steel with $\alpha = 1.2 \times 10^{-5}$ °C$^{-1}$. How much time does the clock lose per day when the temperature rises to 40°C? Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed…

Problem Statement A glass flask is completely filled with mercury at 0°C. What fraction of mercury overflows when heated to 100°C? ($\gamma_{Hg} = 1.8 \times 10^{-4}$ °C$^{-1}$, $\gamma_{glass} = 2.7 \times 10^{-5}$ °C$^{-1}$) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts…

Problem Statement A metal rod is 50.00 cm long at 20°C and 50.06 cm long at 120°C. Find the coefficient of linear expansion. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The…

Problem Statement Solve the thermodynamics problem: Water has maximum density at 4°C. Explain why a lake freezes from the top and not the bottom. Density of water is maximum at 4°C Ice is less dense than liquid water (density of ice $\approx 917$ kg/m³, water $\approx 1000$ kg/m³) Water contracts normally from 100°C to 4°C…

Problem Statement Solve the elasticity problem: A steel rod of cross-sectional area $1.0$ cm² is fixed between two rigid walls at 20°C. Find the force exerted on the walls when the temperature rises to 50°C. ($\alpha = 1.2 \times 10^{-5}$ °C$^{-1}$, $Y = 2.0 \times 10^{11}$ Pa) $A = 1.0$ cm² $= 1.0 \times 10^{-4}$…

Problem Statement A bimetallic strip consists of brass and steel riveted together. Which way does it bend when heated? ($\alpha_{brass} = 2.0 \times 10^{-5}$ °C$^{-1}$, $\alpha_{steel} = 1.2 \times 10^{-5}$ °C$^{-1}$) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas…

Problem Statement A copper sphere of radius 5 cm is heated from 0°C to 100°C. Find the increase in volume. ($\alpha_{Cu} = 1.7 \times 10^{-5}$ °C$^{-1}$) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental…

Problem Statement A circular aluminum plate has a radius of 10 cm at 20°C. Find the increase in area when heated to 100°C. ($\alpha_{Al} = 2.3 \times 10^{-5}$ °C$^{-1}$) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem…

Problem Statement A brass rod is 2.0 m long at 27°C. At what temperature will it be 2.002 m long? ($\alpha_{brass} = 2.0 \times 10^{-5}$ °C$^{-1}$) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental…