Show that isothermal work is also given as Q=W = nRTln `frac(Vf)(Vi)`

Show that the isothermal work may also be expressed as W = nRTln [ P_i/P_f]

For a given amount of gas at a given temperature when volume is ten folded isothermally, the work done is x. What is the work done for the same amount of gas at the same temperature, if the volume is hundred folded?

Show that the straight lines given by (2+k)x+(1+k)y=5+7k for different values of k pass through a fixed point. Also, find that point.

For an isothermal process, none of the quantities Q and W is zero.

w grams of a gas expand isothermally and reversibly at a given temperature T from volume V_1 to V_2 . The magnitude of work will be _________ . (assuming these gases as ideal gases)

Two moles of a gas is expanded to double its volwne by two different processes. One is isobaric and the other is isothermal. If W_1 and W_2 are the works done respectively, then

Starting with same initial conditions, an ideal gas expands from volume V_1 to V_2 in three different ways. The work done by the gas is W_1 if the process is purely isothermal, W_2 if purely isobaric and W_3 if purely adiabatic. Then

Light of intensity 10^ −5 W/m 2 falls on a sodium photo-cell of surface area 2 cm^ 2 . Assuming that the top 5 layers of sodium absorb the incident energy, estimate time required for photoelectric emission in the wave-picture of radiation. The work function for the metal is given to be about 2 eV. What is the implication of your answer?

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is frac{2R}{sqrt 3} . Also find the maximum volume.