Category: HC Verma Part 2: Heat & Thermo

Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A body at 70°C cools to 60°C in 5 minutes in a room at 25°C. How long will it take to cool from 60°C to 50°C? $T_{room} = 25°C$ Cools 70°C → 60°C in 5 minutes Find time to…

Problem Statement Solve the work-energy problem: Solve the work-energy problem: Find the power radiated by a perfectly black sphere of radius 10 cm at 527°C. ($\sigma = 5.67 \times 10^{-8}$ W/m²·K⁴) $r = 10$ cm $= 0.1$ m $T = 527°C = 800$ K $\epsilon = 1$ (perfect black body) Stefan-Boltzmann Law: Power radiated by…

Problem Statement Solve the thermodynamics problem: Solve the thermodynamics problem: Two rods, copper ($k_1 = 400$ W/m·K, $A_1 = 10^{-4}$ m²) and steel ($k_2 = 50$ W/m·K, $A_2 = 2 \times 10^{-4}$ m²), both of length 0.5 m, are placed in parallel between faces at 100°C and 0°C. Find the total rate of heat flow.…

Problem Statement Analyze the circuit: Analyze the circuit: Two rods, one of copper ($k_1 = 400$ W/m·K, $L_1 = 0.1$ m) and one of steel ($k_2 = 50$ W/m·K, $L_2 = 0.2$ m), each of area $A = 10^{-4}$ m² are joined in series. The free ends are at 100°C and 0°C. Find the rate…

Problem Statement Solve the thermodynamics problem: Solve the thermodynamics problem: A steel rod (thermal conductivity $k = 50$ W/m·K, length $L = 0.5$ m, cross-sectional area $A = 2 \times 10^{-4}$ m²) has its two ends at 100°C and 0°C. Find the rate of heat flow through the rod in steady state. $k = 50$…

Problem Statement Solve the thermodynamics problem: Solve the work-energy problem: 1 mol of an ideal gas ($C_V = 20$ J/mol·K) undergoes two processes to raise its temperature by 50 K: (a) isochoric, (b) isobaric. Show that $\Delta U$ is the same in both cases. See problem statement for all given quantities. Thermodynamics governs energy transformatio…

Problem Statement Solve the thermodynamics problem: Solve the thermodynamics problem: 4 moles of diatomic gas are heated from 300 K to 500 K. Find the heat required (a) at constant volume, (b) at constant pressure. Also find the work done in case (b). ($R = 8.314$ J/mol·K) See problem statement for all given quantities. Thermodynamics…

Problem Statement Solve the thermodynamics problem: Solve the thermodynamics problem: The speed of sound in argon at 300 K is 322 m/s. If $M_{Ar} = 40 \times 10^{-3}$ kg/mol, find $\gamma$ for argon. ($R = 8.314$ J/mol·K) See problem statement for all given quantities. Thermodynamics governs energy transformations involving heat and work. The First L…

Problem Statement In an experiment, 2 mol of oxygen is heated at constant pressure. The temperature rises by 25 K and the internal energy increases by 1038 J. Find $C_P$ and $C_V$ for oxygen. ($R = 8.314$ J/mol·K) Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed…

Problem Statement Solve the thermodynamics problem: Solve the thermodynamics problem: Find the speed of sound in (a) hydrogen ($M = 2$ g/mol) and (b) air (mostly N₂+O₂, $M = 29$ g/mol) at 300 K. ($\gamma_{H_2} = 1.4$, $\gamma_{air} = 1.4$, $R = 8.314$ J/mol·K) See problem statement for all given quantities. Thermodynamics governs energy transformatio…