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

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

What is non- cyclic process ? Show that the area under the P-V diagram gives the work done by a system in a non- cyclic process.

What isfocal power of a spherical mirror or a lens? What may be the reason for using P = frac(1)(f) as its expression ?

Factorise the following expressions : p^2-1/(25)

Factorise the following expressions : p^2-q^2

Verify that the area under the p-V curve has dimensions of work.

An ideal gas expands isothermally from volume V_(1) to V_(2) and is then compressed to original volume V_(1) adiabatically. Initialy pressure is P_(1) and final pressure is P_(3) . The total work done is W . Then

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

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)

A given quantity of a ideal gas is at pressure P and absolute temperature T. The isothermal bulk modulus of the gas is