i need help with page 363 questions (2-4) Gas LawsGO ONLINEUsing Gay-Lussac's Law (continued)Using the Combined Gas LawSolve It! CardsO SOLVESample Problem F A helium-filled balloon has a volume of 50.0 Lat 25°C and 1.08 atm. What volume will it have at 0.855 atm and 10.0°C?Substitute known values for T, P, and P, to calculate the new temperature.HMHScience.comT, P, 298 Kx 6.50 am- 40 KT, =-P,= 440 K4.40 atmO ANALYZEGiven:V, of He = 50.0 LConvert back to "C.440 K = (440 – 273) °C = 167°CT, of He = 25°C + 273 = 298 K; T of He = 10°C + 273 = 283 K%3DP, of He = 1.08 atm; P, of He = 0.855 atm9 CHECK YOURWORKThe units cancel to give Kelvin temperature, which was converted to °C. Thenumber of significant figures is correct because the data were given to threesignificant figures. The pressure increases, so the temperature must also increase.Unknown:V, of He2 PLANBecause the gas remains at constant pressure, an increase in temperature willcause an increase in volume. To obtain V2 , rearrange the equation forPractice1. At 120.0°C, the pressure of a sample of nitrogen is 1.07 atm. What will the pressure be at 205°C,assuming constant volume?2. A cylinder of compressed gas has a pressure of 4.882 atm on one day. The next day, the samecylinder of gas has a pressure of 4.690 atm, and its temperature is 8°C. What was the temperature onthe previous day in "C?3. A mylar balloon is filled with helium gas to a pressure of 107 kPa when the temperature is 22°C. If thetemperature changes to 45°C, what will be the pressure of the helium in the bailoon?Charles's law.P,V, P,V.т,P,V,T,V,=P,T,=T,3 SOLVESubstitute the known values to obtain the new volume, V,.(1.08 atm)(50.0 L He)(283 K)(0.855 atm)(298 K)= 60.0 L HeO MAIN IDEAGas pressure, temperature, and volume areinterrelated.The pressure factor 1.80/0.855 predicts a larger volume, and the temperaturefactor 283/298 predicts a smaller volume. The pressure factor predominates,increasing the volume from 50.0 L to 60.0 L. Units cancel appropriately. Theanswer is correctly expressed to three significant figures.CHЕCK YOURWORKA gas sample often undergoes changes in temperature, pressure, andvolume all at the same time. When this happens, three variables must bedealt with at once. Boyle's law, Charles's law, and Gay-Lussac's law can becombined into a single expression that is useful in such situations. Thecombined gas law expresses the relationship between pressure, volume, andtemperature of a fixed amount of gas. The combined gas law can be ex-pressed as follows:PracticeAnswers in Appendix E1 The volume of a gas is 27.5 mL at 22.0°C and 0.974 atm. What will the volume be at 15.0°Cand 0.993 atm?2. A 700.0 mL gas sample at STP is compressed to a volume of 200.0 ml., and the temperatureis increased to 30.0°C. What is the new pressure of the gas in Pa?PV= kTIn the equation, k is constant and depends on the amount of gas. Thecombined gas law can also be written as follows:V CHECK FOR UNDERSTANDINGAssess What advantage does thecombined gas law have over thethree individual gas laws?SECTION 2 FORMATIVE ASSESSMENTP,V,P,V.,2 2Combined gas lawReviewing Main ldeas1. Relate the effect of temperature and pressure ona gas to the model of a gas given by the kinetic-molecular theory.4. A gas occupies 2.0 m at 100.0 K and exerts apressure of 100.0 kPa. What volume will the gasoccupy if the temperature is increased to 400.0Kand the pressure is increased to 200.0 kPa?The subscripts in the equation above indicate two different sets ofconditions, and Trepresents the temperature in Kelvins.From this expression, any value can be calculated if the other five areknown. Note that each of the gas laws can be obtained from the com-bined gas law when the proper variable is constant. For example, Boyle'slaw is obtained when the temperature is constant. Because T, = T,, T,and T, will cancel out on both sides of the combined gas law equation,2. A sample of helium gas has a volume of 200.0 mLat 0.960 atm. What pressure, in atmospheres, isCritical Thinking5. ANALYZING RESULTS A student has the fol-lowing data: V = 822 ml., T, = 75°C, andT2=-25°C. He calculates V2 and gets -274 mL.Is this value correct? Explain why or why not.needed to reduce the volume at constant tem-perature to 50.0 mL?3. A sample of nitrogen gas occupies 1.55 Latgiving Boyle's law.27.0°C and 1.00 atm. What will the volume be at6. APPLYING MODELS Explain Charles's law interms of the kinetic-molecular theory.-100.0°C and the same pressure?P,V, = P,V,Gases363362Chapter 11

The gas laws provides the relationship between pressure, volume, temperature and number of moles for…

Answered: ASSESS Reviewing Main Ideas 1. Relate…

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...