Thermodynamics ...

Which of the following can be calculated from Born-Haber cycle for $$Al_2O_3$$?

A constant volume gas thermometer shows pressure reading of 50 cm and 90 cm of mercury at 0$$^{0}C$$ and 100$$^{0}C$$ respectively. When the pressure reading is 60 cm  of mercury, the temperature is:-

A vessel contains $$N$$ molecules of a gas at temperature $$T$$. Now the number of molecules is doubled, keeping the total energy in the vessel constant. The temperature of the gas is.

If the temperature difference $$T_1 - T_2$$ is $$120^oC$$. the temperature difference between points A & B is 

When 250 KJ heat is the system then it does work of 400 KJ then calculate change in internal energy of system ?

1 g of a steam at $$100^{_-^0}C$$ melt how much ice at $$0^{_-^0}C$$? (Latent heat of ice = 80 cal/gm and latent heat of steam = 540 cal/gm)-

One gram of ice (at $$0^{o}C$$) is mixed with one gram of steam (at $$100^{o}C$$). After thermal equilibrium, the temperature of the mixture is

Internal energy of an ideal gas depends on:

Calculate $${ \Delta  }_{ r }G$$ for the reaction at $$2\mathring { 7\quad  } C$$ :-
$${ H }_{ 2(g) }+2A{ g }_{ (aq) }^{ + }\rightleftharpoons 2A{ g }_{ s }+2{ H }_{ (aq)}^{+} $$
Given : $${ P }_{ { H }_{ 2 } }=0.5$$ bar; $${ [A{ g }^{ + }] }=1{ 0 }^{ -5 }M$$ 
$${ [{ H }^{ + }] }=1{ 0 }^{ -3 }M$$ ; 
$${ \triangle  }_{ r }\mathring { G\quad \quad  } [A{ g }^{ + }]=77.1\quad KJ/mol$$

What is the change in entropy when $$2.5 $$ mole of water is heated from $$27^{o}C$$ to $$87^{o}C$$? Assume that the heat capacity is constant $$(C_{p.m}(H_{2}O)=4.2\ J/g-K\ In (1.2)=0.18)$$