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Chapter 2: Problem 120

Convert: (a) \(4.50\) Cal to calories (b) \(600.0\) Cal to kilojoules (c) \(1.000 \mathrm{~J}\) to calories (d) \(50.0\) Cal to joules

Short Answer

Expert verified
(a) 4500 cal (b) 2510.4 kJ (c) 0.2388 cal (d) 209200 J

Step by step solution

01

(a) Convert 4.50 Cal to calories

Using the conversion factor between Calories (Cal) and calories (cal), we have: \(4.50\,\text{Cal} \times \frac{1000\,\text{cal}}{1\,\text{Cal}}= 4500\,\text{cal}\) So, 4.50 Cal is equal to 4500 calories.
02

(b) Convert 600.0 Cal to kilojoules

Using the conversion factor between Calories (Cal) and kilojoules (kJ), we have: \(600.0\,\text{Cal} \times \frac{4.184\,\text{kJ}}{1\,\text{Cal}}=2510.4\,\text{kJ}\) So, 600.0 Cal is equal to 2510.4 kJ.
03

(c) Convert 1.000 J to calories

To convert Joules (J) to calories (cal), we first need to convert Joules to Calories (Cal) and then Calories to calories. We will use the conversion factors between Joules (J), Calories (Cal), and calories (cal), for this conversion: \(1.000\,\text{J}\times \frac{1\,\text{Cal}}{4.184\, \text{kJ}} \times \frac{1000\,\text{J}}{1\,\text{kJ}} \times \frac{1000\,\text{cal}}{1\,\text{Cal}} = 0.2388\, \text{cal}\) So, 1.000 J is equal to 0.2388 calories.
04

(d) Convert 50.0 Cal to joules

Using the conversion factor between Calories (Cal) and Joules (J), we have: \(50.0\,\text{Cal} \times \frac{4.184\,\text{kJ}}{1\,\text{Cal}} \times \frac{1000\,\text{J}}{1\,\text{kJ}}= 209200\,\text{J}\) So, 50.0 Cal is equal to 209200 Joules.

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