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How many Btu are required to raise the temperature of 15lb of water from 100F to 120F?
Wiki User
∙ 11y ago
1 btu raises 1 lb water 1 degree F from 62 to 63 degrees.
generally 1 btu/lb/degree F x 20 degrees F difference x 15 lbs = 300 btus
specifically the heat of the liquid at 100F is 67.97 btus and at 120F = 87.92 btu
87.92 - 67.97 = 19.95 btu
19.95 x 15 lbs. = 299.25 btus to be more accurate
Wiki User
∙ 11y ago
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Why cant irrational be represented in decimal form?
A decimal number is eitherterminating,repeating, ornon-terminating and non-repeating.The last of these can never be written out since it has infinitely many digits with no way of abbreviating them. A terminating decimal number is one with at most n digits after the decimal point (where n is finite). Such a number is equivalent to a rational number whose denominator is 10^n. The number is therefore rational.For example, 0.23568 = 23568/100000. It can be simplified but that is not relevant here.A number with a decimal representation with a recurring string of length m (where m is finite) is a rational number whose denominator is a 10^k multiple of 10^m-1 or 99...9 (m times). Here k is related to when the repeating sequence starts.For example, consider 1.23142857142857... (with the 6 digit sequence 142857 repeating)Let f = 1.23142857142857...then 100f = 123.142857142857...and 100f*1000000 = 123142857.142857142857...So that 999999*100f = 123142857-123 which is an integer.f is, therefore a ratio of two integers and so is a rational number.So that only leaves the irrational numbers for infinitely long decimal representations with no recurrence.
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Turning repeating decimals to fractions are quite simple. All you need to do is take a look at what numbers are being repeated. For this question, as the 7 and the 2 are being repeated, we can see that there are only two numbers being repeated. So we put two 9's as the denominator for the fraction and 72 as the numerator. So a simple way to put this would be, however many numbers that are being repeated, that's how many 9's are needed for the denominator. Therefore, 0.72 repeating is 72/99 and simplified is 8/11.
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