Three molecules of type a, three of type b, three of type c, and three of type d are to be linked together to form a chain molecule. one such chain molecule is abcdabcdabcd, and another is bcddaaabdbcc. (a) how many such chain molecules are there? [hint: if the three a's were distinguishable from one another— a1, a2, a3— and the b's, c's, and d's were also, how many molecules would there be? how is this number reduced when the subscripts are removed from the a's? ]

Problem #3 (ch. 1, problem 15)the ideal gas law provides one way to estimate the pressure exerted by a gas on a container. the law isí‘ťí‘ť=푛푛푛푛푛푛푉푉mo re accurate estimates can be made with the van der waals equationí‘ťí‘ť=í‘›í‘›í‘›í‘›í‘›í‘›í‘ ‰í‘‰â’푛푛푟푟â’푞푞푛푛2í‘ ‰í‘‰2where the term nb is a correction for the volume of the molecules and the term an2/v2is a correction for molecular attractions. the values of a and b depend on the type of gas. the gas constant is r, the absolutetemperature is t, the gas volume is v, and the number of moles of gas molecules is indicated by n. if n = 1 mol of an ideal gas were confined to a volume of v = 22.41 l at a temperature of 0â°c (273.2k), it would exert a pressure of 1 atm. in these units, r = 0.0826.for chlorine gas (cl2), a = 6.49 and b = 0.0562. compare the pressure estimates given by the ideal gas law and the van der waals equation for 1 mol of cl2 in 22.41 l at 273.2 k. what is the main cause of the difference in the two pressure estimates, the molecular volume or the molecular attractions?

Look at the bean data from days 4–6. use these data to explain how natural selection changed the number of dark red walking beans over time. writing part

One does not belong why? ice, gold ,wood ,diamond and table salt