Volume part 2

Complex number part 2

A vessel of uniform cross-section of length 500 cm as shown in figure is divided in two parts by a weightless and frictionless piston one part contains 5 moles of He(g) and other part 2 moles of H_(2)(g) and 4 moles of O_(2)(g) added at the same temperature and pressure in which reaction takes place finally vessel cooled to 300 K and 1 atm. What is the length of He compartment? (Assume volume of piston and vol. of H_(2)O(l) formed are negligible)

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?(i) Volume: 3x^2-12 x (ii) Volume: 12 k y^2+8k x-20 k

The volume at NTP occupied by 11 g of CO_(2) is :

There are two parts of a vessel. The pressure in one part is P and its volume is V. the volume of another part is 4V and there is vaccum in it. If the intervening wall is ruptured, then work done by the gas and change in its internal energy will be

In the following pressure-volume diagram, the isochoric, isothermal and isobaric parts, respectively, are

If a cone is cut into two parts by a horizontal plane passing through the mid-point of its axis, the ratio of the volumes of upper and lower part is (a) 1:2 (b) 2:1 (c) 1:7 (d) 1:8

A vertical cylinder closed at both ends is fitted with a smooth piston dividing the volume into two parts each containing one mole of air. At the equilibrium temperature of 320 K, the volume of upper and lower parts are in the ratio 4:1. The ratio of volume will become 3:1 at a temperature of

A vertical cylinder of cross-sectional area 0.1m^(2) closed at both ends is fitted with a frictionless piston of mass M dividing the cylinder into two parts. Each part contains one mole of an ideal gas in equilibrium at 300K . The volume of the upper part is 0.1m^(3) and that of lower part is 0.05m^(3) .What force must be applied to the piston so that the volumes of the two parts remain unchanged when the temperature is increased to 500K ?

In the pressure-volume diagram given below, the isochoric, isothermal, isobaric, and isoentropic parts, respectively, are: