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Calculate q, w, ∆U and ∆H if 1.65 mol of an ideal gas with Cv = R 3/2
undergoes a reversible
adiabatic expansion from an initial volume Vi = 7.75 m3
to a final volume Vf = 20.5 m3
. The initial
temperature is 300 K
A certain gas obeys the van der Waals equation with a = 0.50 m6 Pa mol-2
. Its volume is found to
be 0.5 dm3mol-1 at 273 K and 3.0 MPa. From this information, calculate the van der Waals constant
b. Calculate the compressibility factor, Z, and state whether the gas exhibits ideal behaviour,
negative deviation or positive deviation from ideal behaviour.
How many hydrogen bonds a water molecule can form with another water molecule?
Kindly give explanation too

Calculate the final pressure of a sample of CO2 that expands reversibly and adiabatically from 57.4 kPa and 1.0 dm3 to a final volume of 2.0 dm3 . Take  = 1.4.


Consider a gas that occupies 1.00 dm3 at a pressure of 2.00 bar. If the gas is compressed isothermally at constant external pressure, Pext, so that the final volume is 0.500 dm3 , what is the smallest value Pext can have? Calculate the work involved using this value of Pext.


2.25 moles of an ideal gas at 35.6oC expands isothermally from an initial volume of 26.0 dm3

to a

final volume of 70.0 dm3

. Calculate w for this process (a) for expansion against a constant external

pressure of 1.00 x 105 Pa and (b) for a reversible expansion.


State whether q, w and U are positive, negative or zero in each of the following cases: (a) The
combustion of CH4 with O2 takes place in the container, but the container is in thermal contact
with a large water bath. (b) Isothermal expansion of an ideal gas. (c) Combustion of CH4 with O2
takes place in a rigid container surrounded by adiabatic wall.

  An aqueous solution contains 0.20 M nitric acid and 0.08 M sodium acetate at 25 ˚C.

   Calculate the pH of the above solution.


 Calculate the pH of an aqueous solution of 0.01 M sodium acetate. State any assumption made in your calculations. (Ka of acetic acid is 1.75 x 10-5 mol L-1 at 25 ˚C in water.)


Calcium carbide, CaC2, is manufactured by reducing lime with carbon at high temperature. (The carbide is used in turn to make acetylene, an industrially important organic chemical.)

CaO(s)+3C(s)→CaC

2

(s)+CO(g)

CaO(s)+3C(s)→CaC2(s)+CO(g)   ΔH=464.8kJ

ΔH=464.8kJ 

Calculate the quantity of energy, in kJ, transferred when 0.432 mol carbon reacts with CaO(s). 


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