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Chemistry LibreTexts

0.E: Exercises

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0.1-0.3

9. 1.74 g/cm3

0.4

  1. Write a single equation to show how to convert
    1. cm/min to km/h;
    2. cal/oz to J/g
    3. lb/in2 to kg/m2 and
    4. °C/s to K/h.
  2. How many Calories are contained in an 8.0 oz serving of green beans if their fuel value is 1.5 kJ/g?
  3. Gasoline has a fuel value of 48 kJ/g. How much energy in joules can be obtained by filling an automobile’s 16.3 gal tank with gasoline, assuming gasoline has a density of 0.70 g/mL?

Solutions

  1. Converting from one compound unit to another
    1. (cmmin)(1m100cm)(1km1000m)(60min1h)=km/h
    2. (caloz)(4.184J1cal)(16oz1lb)(1lb453.59g)=J/g
    3. (lbin2)(16ozlb)(28.35goz)(1kg1000g)[(36in.)2(1yd)2][1.09yd21m2]=kg/m2
    4. (°Cs)(60s1min)(60minh)+273.15K=K/h
  2. Our goal is to convert 1.5 kJ/g to Calories in 8 oz:(1.5kJ1g)(1000J1kJ)(1cal4.184J)(1Cal1000cal)(28.35g1oz)(8.0oz)=81Cal
  3. Our goal is to use the energy content, 48 kJ/g, and the density, 0.70 g/mL, to obtain the number of joules in 16.3 gal of gasoline: (48kJg)(1000JkJ)(0.70gmL)(1000mLL)(3.79Lgal)(16.3gal)=2.1×109J

0.E: Exercises is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by LibreTexts.

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