What is (200g)((4.182J)/((gC)))(36.9C-23.8C) ?

The solution to (200g)((4.182J)/((gC)))(36.9C-23.8C) is 10956.84J

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simplify (200g)((4.182J)/((gC)))(36.9C-23.8C)

simplify

(200 g) (\frac{4.182 J}{( g ^{\circ} C )}) (36. 9^{\circ} C - 23. 8^{\circ} C)

10956.84 J

Solution steps

(200 g) (\frac{4.182 J}{g ^{\circ} C}) (36. 9^{\circ} C - 23. 8^{\circ} C)

Remove parentheses:

(a) = a

= 200 g \frac{4.182 J}{g ^{\circ} C} (36. 9^{\circ} C - 23. 8^{\circ} C)

Multiply fractions:

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

= \frac{4.182 J \cdot 200 g ( 36. 9 ^{\circ} C - 23. 8 ^{\circ} C )}{g ^{\circ} C}

Multiply the numbers:

4.182 \cdot 200 = 836.4

= \frac{836.4 g J ( 36. 9 ^{\circ} C - 23. 8 ^{\circ} C )}{C g ^{\circ}}

Cancel the common factor:

g

= \frac{836.4 J ( 36. 9 ^{\circ} C - 23. 8 ^{\circ} C )}{C}

Factor

36. 9^{\circ} C - 23. 8^{\circ} C : C (36. 9^{\circ} - 23. 8^{\circ})

= \frac{836.4 J C ( 36. 9 ^{\circ} - 23. 8 ^{\circ} )}{C}

Cancel the common factor:

C

= 836.4 (36. 9^{\circ} - 23. 8^{\circ}) J

36. 9^{\circ} = 36.9

= 836.4 (36.9 - 23. 8^{\circ}) J

23. 8^{\circ} = 23.8

= 836.4 (36.9 - 23.8) J

Refine

= 10956.84 J

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What is (200g)((4.182J)/((gC)))(36.9C-23.8C) ?
The solution to (200g)((4.182J)/((gC)))(36.9C-23.8C) is 10956.84J