Multiple Choice
If you have 200 grams of water, how many cups does this correspond to? (Assume 1 cup = 240 mL and the density of water is 1.00 g/mL.)
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1. Intro to General Chemistry
Conversion Factors
Multiple Choice
Which of the following is the correct conversion of 23.4 kJ to calories? (1 cal = 4.184 J)
A
5,590 cal
B
4,184 cal
C
0.179 cal
D
98.0 cal
Verified step by step guidance1
Identify the given information: 23.4 kJ (kilojoules) needs to be converted to calories, and the conversion factor is 1 cal = 4.184 J.
Convert kilojoules to joules by using the relationship \(1 \text{ kJ} = 1000 \text{ J}\). So, multiply 23.4 kJ by 1000 to get the energy in joules.
Set up the conversion from joules to calories using the given conversion factor. Since 1 cal = 4.184 J, use the ratio \(\frac{1 \text{ cal}}{4.184 \text{ J}}\) to convert joules to calories.
Multiply the energy in joules by the conversion factor to get the energy in calories: \(\text{Energy in cal} = \text{Energy in J} \times \frac{1 \text{ cal}}{4.184 \text{ J}}\).
Perform the multiplication and division to find the number of calories equivalent to 23.4 kJ (do not calculate the final number here, just set up the expression).
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