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derivation of first law of thermodynamics


Compute the rise in temperature of water ifitis brought to rest after falling over a waterfall 50.0 m high. Assume that no heat is transferred to the surroundings.


You have two containers in which 5 mol of pure Ne and 5 mol of O2 is there at 400 K

and 2 atm pressure. Show graphically how molar enthalpy, molar Gibbs free energy

and the molar entropy of mixing of these two gases will vary as a function of mole

fraction of O2 [X (O2)= 0, 0.1, 0.2, 0.3....0.9, 1.0] at 400 K when these two gases are

mixed. Assume the gas behaves ideally.


Sketch the non-ideal vapour pressure-composition curve of element X and nitrous acid, HNO2 where the composition of azeotropic mixture is 40% X at 40ºC and the boiling point of X is higher than HNO2. Explain the vapour pressure of each composition and distillation process of above mixture using the curve



Suppose you are culturing animal cells that have a diameter of 11 µm and an average ATP concentration of 2.5 mM.


Calculate the number of ATP molecules in one cell.


How to calculate how much room temperature water (23.3°C) will be needed to drop the temperature of warm water from 50°C to 42°C.


A galvanic cell is constructed by coupling Ag and Cd electrodes dipped in 0.5 M Silver Nitrate and 0.25 M CdS04 respectively at 25°C. Write the cell scheme, cel! reaction, and calculate emf of the cell. Given that SRPs of Ag and Cd are +0.80 V and ▪ -0.40 V respectively.


State five applications in real life showing Joule-Thomson effect.


Derive a relation for Joule-Thomson coefficient for a gas whose equation of state is

(P+a/V^2)V =RT


Using some of the following reagents, describe the preparation of 500 mL, pH 7 citric acid


1.8 M citric acid (H3C6H5O7, FW = 192)

1.2 M sodium dihydrogen citrate (NaH2C6H5O7, FW = 214)

1.5 M sodium hydrogen citrate (Na2HC6H5O7, FW = 236)

0.8 M sodium citrate (Na3C6H5O7, FW = 258)

0.1 M HCl

0.1 M NaOH

distilled water


For citric acid, Ka1 = 7.4 x 10-4, Ka2 = 1.7 x 10-5, Ka3 = 4.0 x 10-7




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