<span>The correct way to write 602,200,000,000,000,000,000,000 in scientific notation is 6.202 x 10^23. In the scientific notation, the number is written as a multiplication of a number from 1 to 9 and 10 raised to the adequate power. 602,200,000,000,000,000,000,000 = 6.202 x 100,000,000,000,000,000,000,000. Since 10 = 10^1; 100 = 10^2; 1,000 = 10^3, etc. then 100,000,000,000,000,000,000,000 = 10^23. Therefore, 602,200,000,000,000,000,000,000 = 6.202 x 100,000,000,000,000,000,000,000 = 6.202 x 10^23.</span>
The amount of heat needed to vaporize the given amount of water is the product of the amount in grams and the latent heat of vaporization in cal per gram. That is,
H = (540 calories / gram)( 500 grams) = 270,000 cal
Thus, the heat needed is 270, 000 calories. The answer is letter C.
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