Physical Chemistry Answers

In a calorimeter was mixed 40 g of 0.6 mol / L HCl solution and 40 g of 0.5 mol / L NaOH solution. Before mixing the initial temperature of both solutions was 25ºC and when the reaction was complete the temperature was 28.0ºC. Using the c(water) = 4.18 Jg^-1K^-1 calculate the enthalpy (ΔH, kJ / mol) of the reaction of NaOH solution with HCl solution.

To a calorimeter, which contained 80 g water at 25.0ºC was added 4.0 g NaOH. After the NaOH had dissolved the temperature was 34.0ºC. From this information calculate the enthalpy (ΔH, kJ / mol) of the dissolution of NaOH in water.

An air conditioner using Freon as a gas removes heat of 1.5 k.Cal.s–1 from a large room. The power required to run it is 2 kW. If the typical value of q2/w is 1/10 that of a Carnot refrigerator and the temperature outside is 313 K. [Cv = 0.064 J K-1 mol-1] (a) Find the work done, w of the system. (b) What is the temperature inside the room in degree Celsius? (c) Calculate internal energy, ΔU for each step and total ΔU in the system. 

n moles of CO2 gas (T1, V1) obey a van der Waals equation of state are contained in an insulated piston-cylinder arrangement. A reversible expansion of the gas is carried out until the volume become 2V1. [CV.m = 28.80 J mol−1K −1 , a = 3.610 atm. dm6 . mol−2 , b = 4.29 x 10−2 dm3 . mol−1 ]

(a) Find the final temperature of gas as a function of n, 𝐂𝐕.𝐦 , T1, V1 and the van der Waals parameter a and b. (b) If two moles of CO2 gas involved and T1 = 350K, V1 = 40L, compute final temperature of the gas. (c) Find work done and internal energy of the gas. 

n moles of CO₂ gas (T1, V1) obey a van der Waals equation of state are contained

in an insulated piston-cylinder arrangement. A reversible expansion of the gas is

carried out until the volume become 2V1.

[CV.m = 28.80 J mol-1K^-1, a = 3.610 atm. dm⁶. mol^-2, b = 4.29 x 10-2 dm³. mol^-1]

(a) Find the final temperature of gas as a function of n, 𝐂𝐕.𝐦 , T1, V1 and the van

der Waals parameter a and b.

b) If two moles of CO2 gas involved and T1 = 350K, V1 = 40L, compute final

temperature of the gas.

c) Find work done and internal energy of the gas.(b) (c)

n moles of CO2 gas (T1, V1) obey a van der Waals equation of state are contained

in an insulated piston-cylinder arrangement. A reversible expansion of the gas is

carried out until the volume become 2V1.

[CV.m = 28.80 J mol−1K

−1

, a = 3.610 atm. dm6

. mol−2

, b = 4.29 x 10−2 dm3

. mol−1

]

(a) Find the final temperature of gas as a function of n, 𝐂𝐕.𝐦 , T1, V1 and the van der Waals parameter a and b.

(b) If two moles of CO2 gas involved and T1 = 350K, V1 = 40L, compute final temperature of the gas.

(c) Find work done and internal energy of the gas.

An air conditioner using Freon as a gas removes heat of 1.5 k.Cal.s–1 from a large room. The power required to run it is 2 kW. If the typical value of q2/w is 1/10 that of a Carnot refrigerator and the temperature outside is 313 K.

[Cv = 0.064 J K-1 mol-1]

(a) Find the work done, w of the system.

(b) What is the temperature inside the room in degree Celsius?

(c) Calculate internal energy, ΔU for each step and total ΔU in the system.

Consider the synthesis reaction of ammonia at 500°C:

N2(g) + 3 H2(g) --> 2 NH3(g)

a- Give the expression of the standard enthalpy of this reaction as a function of the temperature T.

b- What is the relative difference between the two values of ∆rH0 obtained respectively at 25°C and 500°C. Comment.

n moles of CO2 gas (T1, V1) obey a van der Waals equation of state are contained in an insulated piston-cylinder arrangement. A reversible expansion of the gas is carried out until the volume become 2V1.

[CV.m=28.80 J mol−1K−1,a=3.610 atm.dm6.mol−2,b=4.29 x 10−2 dm3.mol−1]

(a) Find the final temperature of gas as a function of n, 𝐂𝐕.𝐦 , T1, V1 and the van der Waals parameter a and b.

(b) If two moles of CO2 gas involved and T1 = 350K, V1 = 40L, compute final temperature of the gas.

(c) Find work done and internal energy of the gas.

An air conditioner using Freon as a gas removes heat of 1.5 k.Cal.s–1 from a large room. The power required to run it is 2 kW. If the typical value of q2/w is 1/10 that of a Carnot refrigerator and the temperature outside is 313 K.

[Cv = 0.064 J K-1 mol-1]

(a) Find the work done, w of the system.

(b) What is the temperature inside the room in degree Celsius?

(c) Calculate internal energy, ΔU for each step and total ΔU in the system.