CH EN 2800 – Fundamentals of Process Engineering Spring 2008HOMEWORK #1 SOLUTIONS 1. Book problem 1.2 For these, simply put in the appropriate conversion factors and make sure that the units cancel out. You can find conversion factors inside the front cover of the book. (a) 3m43m3fthrlbft3.281mh1min60g454lbmming0.04⋅×=⎟⎟⎠⎞⎜⎜⎝⎛⎟⎠⎞⎜⎝⎛⎟⎟⎠⎞⎜⎜⎝⎛⎟⎠⎞⎜⎝⎛⋅−10.501(b) dayftdayh24h1s3600L28.32ftsL2336100=⎟⎟⎠⎞⎜⎜⎝⎛⎟⎠⎞⎜⎝⎛⎟⎟⎠⎞⎜⎜⎝⎛⎟⎠⎞⎜⎝⎛(c)kgsmmft3.2808kglb2.2046s360024365yrcm100minm0.0254ftlbsyrcmin622m22m2⋅×=⎟⎠⎞⎜⎝⎛⎟⎟⎠⎞⎜⎜⎝⎛⎟⎟⎠⎞⎜⎜⎝⎛××⎟⎟⎠⎞⎜⎜⎝⎛⎟⎠⎞⎜⎝⎛⎟⎟⎠⎞⎜⎜⎝⎛⋅⋅⋅⋅-11101.152. Book problem 1.7 This is somewhat reminiscent of the old "if a train leaves Chicago at 2:00 travels 80 miles an hour towards Philadelphia…" problem. Basically, what we have to do is determine how many gallons are used for each of the two scenarios and compare them. Knowing that the final measurement will be in gallons will help us set up the problem: gallons should be "on top" in the equations. Essentially, we are converting miles required for the trip to gallons required for the trip, so it should be intuitive that miles should also be "on top" in the equations. ()gallonshrgal2200miles525hrmiles10004190=⎟⎠⎞⎜⎝⎛⎟⎟⎠⎞⎜⎜⎝⎛()gallonshrgal2000miles475hrmiles10004211=⎟⎠⎞⎜⎝⎛⎟⎟⎠⎞⎜⎜⎝⎛It appears that it would actually take 21 gallons moreif you follow the boss's plan.
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