An ideal gas occupies a volume of 2m³ at a pressure of 3 $$ \times $$ 10⁶ Pa. The energy of the gas is :

In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K, where K is a constant. In this process the temperature of the gas is increased by $$\Delta $$T. The amount of heat absorbed by gas is (R is gas constant) :

A thermometer graduated according to a linear scale reads a value x₀ when in contact with boiling water, and x₀/3 when in contact with ice. What is the temperature of an object in ^oC, if this thermometer in the contact with the object reads x₀/2 ?

A metal ball of mass 0.1 kg is heated upto 500^oC and dropped into a vessel of heat capacity 800 JK^–1 and containing 0.5 kg water. The initial temperature of water and vessel is 30^oC. What is the approximate percentage increment in the temperature of the water? [Specific Heat Capacities of water and metal are, respectively, 4200 Jkg^–1 and 400 Jkg^–1 K^–1