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qUESTIONS

104 kJ of work is done on certain volume of a gas. If the gas releases 125 kJ of heat, calculate the change in internal energy (in kJ) of the gas.

1.0 kg of liquid water is boiled at 100 °C and all of it is converted to steam. If the change of state takes place at the atmospheric pressure (1.01×10^5 Pa), calculate (a) the energy transferred to the system, (b) the work done by the system during this change, and (c) the change in the internal energy of the system. Given, the volume of water changes from 1.0 x 10³ m³ in liquid form to 1.671 m³ when in the form of steam.

A gas enclosed in a cylinder is expanded to double its initial volume at a constant pressure of one atmosphere. How much work is done in this process?

Calculate the internal energy of argon and oxygen.

A small-blackened solid copper sphere of radius 2.5 cm is placed in an evacuated chamber. The temperature of the chamber is maintained at 100 °C. At what rate energy must be supplied to the copper sphere to maintain its temperature at 110 °C? (Take Stefan’s constant σ to be 5.76 x 10² s⁻¹ K² and treat the sphere as blackbody.)

Find the temperature of a blackbody if its spectrum has a peak at (a) A = 700nm (visible), (b) A =3 cm (micro wave region) and (¢) A = 3 m (FM radio waves) (Take Wien’s constant b = 2.897x 107 m K).

Earth’s mean temperature can be assumed to be 280 K. How will the curve of blackbody radiation look like for this temperature? Find out λmax . In which part of the electromagnetic spectrum, does this value lie?

Compare the rates of emission of heat by a blackbody maintained at 727 °C and at227°C, if the blackbodies are surrounded by an enclosure (black) at 27 °C. What would be the ratio of their rates of loss of heat ?

The emissive power of a sphere of area0.02 m? is 0.5 kecal s’ m™. What is the amount of heat radiated by the spherical surface in 20 second?

Energy iis emitted from a hole in an electric furnace at the rate of 20 W, when the temperature of the furnace is727 °C. What is the area of the hole?(Take Stefan’s constant ¢ to be 5.7 x10*F s w2 K)

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