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Let NA = Avogadro’s Number

No. of degrees of freedom of O₂ molecule (diatomic) = 5 

No. of degrees of freedom of 2 moles of oxygen = 2 N_A × 5 = 10 N_A 

No. of degrees of freedom of 4 moles of argon (monatomic) = 4 N_A × 3 

= 12 N_A (∵ 3 = degrees of freedom)

Total degrees of freedom of mixture = 10 N_A + 12 N_A = 22 N_A →1) Energy associated with each degree of freedom | molecule = 1/2 KT

Total energy of mixture = 22 NA × 1/2 KT T (∵ Using equation1)

11K N_A T

11RT(KN₄ = R)

The temperature above which a gas connot be liquefied, no matter how great the pressure is called critical temperature. If the substance lies above the critical temperature then it falls in the gaseous region. If the substance lies below the critical temperature than it falls in the vapour stage. 

Heat flows from higher temperature to lower temperature. Therefore, temperature gradient (i.e. temperature difference) is required for the heat to flow one part of solid to another. 

When a liquid changes into a gas, there is large increase in the volume and a large amount of work has to be done against the surrounding atmosphere and heat associated with change from solid to gas is latent heat of vaporization and hence the answer. 

Calorimeters are made up of metal only because they are good conductor of heat and hence the heat exchange is quick which the basic requirement for the working of calorimeter. 

Infinite heat capacity means that there will be no change in temperature whether heat is taken out or given to the substance.