Friday, September 7, 2012

Chapter 0 Notes/Questions/Answers (Introduction)

Chapter 0 (Introduction) Notes/Questions/Answers 


Know the difference between solids, liquids, gases;
F=m*a; W=F*d.
Energy- capacity to do work;
-kinetic energy- energy due to motion; Ek=1/2 mv2
-potential energy- energy due to position; Ep=mgh
Etotal= Ek+Ep; Etotal is constant if forces act on the body, can convert Ek to Ep and vice versa

Pressure-measured in pascals (Pa); F/A= 1 N/1 m2=1 kg/m*s2
1 atm = 1.013 bar; 1 bar = 105 Pa;

Questions/Answers
0.3) Calculate the work that a person of mass 65 kg must do to climb between two floors of a building separated by 4.0 m.
W=F*d=(65 kg* 9.8 m/s2) * (4.0 m) = 2600 J

0.5)  A car of mass 1.5 t (1 t = 103 kg) travelling at 50 km h−1 must be brought to a stop. How much kinetic energy must be
dissipated?
KE= ½mv2= ½(1.5 t)(103 kg/t)(50km/hr)(1 hr/3600 s)(1000 m/1km)= 14.9 kJ
0.8) Calculate the minimum energy that a bird of mass 25 g must expend in order to reach a height of 50 m.
PE=mgh=(.025 kg)(9.8 m/s2)(50m)=12 J

0.12) Express (a) 108 kPa in torr, (b) 0.975 bar in atmospheres, (c) 22.5 kPa in atmospheres, (d) 770 Torr in pascals.
a.) (108 kPa)(.007501 torr/1 Pa)(1000 Pa/1 kPa)=810 torr
b.)(.975 bar)(1 atm/1.013 bar)= 0.962 atm
c.) (22.5kPa)(1000Pa/1 kPa)(1 bar/105 Pa)(1 atm/1.013 bar)= 0.222 atm
d.) (770 torr)(1 Pa/0.007501 torr)=1.03*105 Pa

0.13) Calculate the pressure in the MindaƱao trench, near the Philippines, the deepest region of the oceans. Take the depth there as 11.5 km and for the average mass density of sea water use 1.10 g cm−3.
(11.5 km)(1000 m/km)(1.1g/cm3)(1kg/1000g)(100 cm/1m)^3(9.8m/s2)= 1.24*108 Pa
                                                       
0.18) Given that the Celsius and Fahrenheit temperature scales are related by qCelsius/°C = (qFahrenheit/°F − 32), what is the temperature of absolute zero (T = 0) on the Fahrenheit scale?
At absolute 0, K=0; C=K-273=0-273=-273; C=(f-32)/1.8; -273=(f-32)/1.8= -459.67 °F

0.24) The molar mass of the oxygen-storage protein myoglobin is 16.1 kg mol−1. How many myoglobin molecules are present in 1.0 g of the compound?
(1.0 g)(1 mole/16100 g)(6.02*1023 molecules/mole)= 3.74*1019 molecules
0.28) What mass of sodium chloride should be dissolved in enough water to make 300 cm3 of 1.00 M NaCl(aq)?
Molarity= moles/Liters; 1.00 M= moles/((300 cm3)(1 mL/1 cm3)(1 L/1000 mL))=0.3 moles;
0.3 moles=grams/molar mass; 0.3 moles= grams/(58.443 g/mol)= 17.5 g

0.30) Calculate the mole fractions of the molecules of a mixture that contains 56 g of benzene and 120 g of methylbenzene (toluene).
Moles of benzene= (56 g)(1 mole/78.118 g)=.717 mol
Moles of toluene= (120 g)(1 mole/92.138 g)= 1.3 mol
Xbenzene­­­­­=moles benzene/moles total=.717/(1.3+.717)= .35
Xtoluene=moles toluene/moles total=1.3/(1.3+.717)= .64