What is 10^{-3}*0.5*4.184*ln(268/273) ?

The solution to 10^{-3}*0.5*4.184*ln(268/273) is -0.00003…

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simplify 10^{-3}0.54.184*ln(268/273)

simplify

1 0^{- 3} \cdot 0.5 \cdot 4.184 \cdot ln (\frac{268}{273})

- 0.00003 \dots

Solution steps

1 0^{- 3} \cdot 0.5 \cdot 4.184 ln (\frac{268}{273})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 0.5 \cdot 4.184 \cdot \frac{1}{1 0 ^{3}} ln (\frac{268}{273})

Multiply the numbers:

0.5 \cdot 4.184 = 2.092

= 2.092 \cdot \frac{1}{1 0 ^{3}} ln (\frac{268}{273})

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2.092}{1 0 ^{3}} ln (\frac{268}{273})

\frac{1 \cdot 2.092}{1 0 ^{3}} = 0.002092

= 0.002092 ln (\frac{268}{273})

Convert element to a decimal form

\frac{268}{273} = 0.98168 \dots

= 0.002092 ln (0.98168 \dots)

Simplify

ln (0.98168 \dots) : - 0.01848 \dots

= - 0.01848 \dots \cdot 0.002092

Multiply the numbers:

0.01848 \dots \cdot 0.002092 = 0.00003 \dots

= - 0.00003 \dots

(5.98 \cdot 1 0^{24}) (6.67 \cdot 1 0^{- 11}) (480)

9.3 \cdot 1 0^{- 2}

10 e^{- \frac{4.17 ( 10 )}{( 0.082 ) ^{2} ( 298.15 )}}

5.011 \cdot 1 0^{- 5}

5.67 \cdot 1 0^{- 8} \cdot 4 π (7 \cdot 1 0^{8})^{2} \cdot 578 0^{4}

What is 10^{-3}*0.5*4.184*ln(268/273) ?
The solution to 10^{-3}*0.5*4.184*ln(268/273) is -0.00003…