Calculate the van der Waals second viral coefficient (B) using Z vdw at 299.6 K, where Zydw is given as a Zydw = 1+b - ,where Pc= 119.9 atm, Vm.c= 122.2 cm/mol and T= 325.2 K. RT) Vm O a. 0.22 O b. -3.22 O c. -2.01 O d.-0.18
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- (a) Hydrogen molecules (molar mass is equal to 2.016 g/mol) have vrms equal to 193 m/s. What is the temperature? (b) Much of the gas near the Sun is atomic hydrogen (H rather than H2). Its temperature would have to be 1.5107 K for the speed vrms to equal the escape velocity from the Sun. What is that velocity?3. It has been suggested that the surface melting of ices plays a role in enabling speed skaters to achieve peak performance. Carry out the following calculation to test this hypothesis. At 1 atm pressure, ice melts at 273.15 K, AH fusion=6010 J mol-¹, the density of ice is 920 kg m-³, and the density of water is 997 kg m-³. A. What pressure is required to lower the melting point by 4 °C? B. Assume that the width of the skate in contact with the ice has been reduced by sharpening to 19x10-³ cm, and the length of the contact area is 18 cm. If a skater of mass 78 kg is balanced on one skate, what pressure is exerted at the interface of the skate and the ice? C. What is the melting point of ice under this pressure? D. If the temperature of the ice is -4°C, do you expect melting of the ice at the ice-skate interface occur?2. For T = 300 K, calculate the pressure (in bars) at which the mean free path of a hydrogen molecule will be each of the lengths given here. For H₂, o = 2.30 x 10-1⁹ m². (a) 100 μm (b) 1.00 mm (c) 1.00 m LL
- The temperature of 4 mole of an ideal gas is increased from 114 K to 524 K, and its given that C, R.Calculate the AS (J/K), if the volume is constant. O a. 76.1 O b. 50.7 O c. 380.4 O d. 114.1 3/2Water vapor at a pressure 0f 2X10 N/m2 0nd a dempirature of as0°c is 0.32 x106 N/m2.following expanded to a yoessune of ec.For the low P.V1.25 this expanston determine: a. Pinal vapor condnion b. Syecipie haat transpan c. Changis in tntroyy SIDUThe enthalpy of vaporization of a liquid is 14.4 kJ at 180K, its boiling point at 1 bar. The molar volumes of the liquid and the vapor at the boiling point are 115 cm³ mol-¹ and 14.5 liter mol-¹, respectively. a. Use the Clapeyron equation to estimate d/d at the boiling point. b. Now use the Clausius-Clapeyron equation to calculate dP/T at the boiling point. C. What is the percent error in P/T when using the Clausius-Clapeyron equation? dT d. What approximations in the derivation of the Clausius-Clapeyron equation lead to the error in this estimate?
- stion 50 What is the number of moles of atoms in 9.03 x 1024 atoms O A. 4.42. mol OB. О в. 9.03 mol C. Oc. 1.51l D. 10.0 mol O E. 15.1 mol120 g of oxygen gas, in the form of O2, is initially at a temperature of 12.00 C. If the gas occupies a volume of 100 L, what is the pressure of the gas? (The atomic weight of oxygen is 16.0 g/mole, and R = 8.31 J/mole- K.) a. 3.74 kPa b. 88.8 kPa c. 22.5 kPa d. 63.0 kPa e. 101 kPaThe saturated vapor pressure of mercury is 0.0020 mmHg at 300 K and the density of air at300 K is 1.18 g L−1. ]ag Calculate the concentration of mercury vapor in air in mol L−1. ]bg Whatis the number of parts per million ^ppmh by mass of mercury in air?
- Problem II There is a piece of 10 mm thick a-iron plate. This plate initially has hydrogen uniformly distributed inside with an initial concentration Co. Assume that there is no hydrogen in the air. The plate is left in the air and the hydrogen concentration varies with the time as follows: 4Co C(x, t) = (-9n²Dt\ 12 3nx sin еxp where / is the thickness of the plate. If we would like to remove 95% of the hydrogen from the plate, how long will it take when the plate is at 25 °C? The pre-exponential and activation energy for hydrogen in a-iron are 0.1 mm/s and 13,400 J/mol, respectively.1. on a hot summer day the temperature is 40.0°c and the pressure is 1.01x10^5 Pa. et us model the air as all nitrogen of molecular mass 28.0g/mol having molecules of diamtere 0.500 nm (nano = 10^-9) that are moving at their root-mean-square speed. Avogadro's number is 6.02x10^23 molecules/mol, the ideal gas constant is 8.31 J/mol . K, and the boltzmann constant is 1.38x10^-23 J/K calculate reasonable estimates for A. the root mean-square speed of the nitrogen molecules B. the average distance of a typical molecule travels between collisions C. the average time a molecule travels between collisions, assuming that the molecules are moving at their root-mean-swuare speeds D. the molecule of collisions an average molecule undergoes per second 2. A 648-G Empty Iron Kettle Is Put On A Stove. How Much Heat, In Joules, Must It Absorb To Raise Its Temperature From 15.0°C To raise its temperature from 15°c to 37°c (the specific heat for iron is 113 ca;/g°C, 1 cal = 9.190J)dinP If the relation between P and Tis expressed by ΔΗ .calculate- R ΔΗ at T=300 K. R T(K) P(kPa) 290 10 300 15 310 20 O a. -2675.4 O b. -3451.8 O. None O d. -3115.7