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Selembar plat terbuat dari perunggu seperti gambar...

Selembar plat terbuat dari perunggu seperti gambar begin mathsize 12px style open parentheses straight alpha space equals 1 comma 8 cross times 10 to the power of negative 6 end exponent space degree straight C to the power of negative 1 end exponent close parentheses end style pada suhu begin mathsize 12px style 0 to the power of straight o straight C end style. Jika plat tersebut dipanaskan sampai begin mathsize 12px style 80 to the power of straight o straight C end style, pertambahan luas permukaan plat tersebut adalah ....

  1. 1 comma 8 space cross times space 10 space to the power of negative 5 end exponent space straight m squared

  2. 3 comma 6 space cross times space 10 to the power of negative 5 space end exponent straight m squared

  3. 14 comma 4 space cross times space 10 to the power of negative 5 space end exponent straight m squared

  4. 27 comma 6 space cross times space 10 to the power of negative 5 space end exponent straight m squared

  5. 57 comma 6 space cross times space 10 to the power of negative 5 space end exponent straight m squared

Jawaban:

begin mathsize 14px style straight alpha space equals space 1 comma 8 space cross times space 10 to the power of negative 6 end exponent divided by degree straight C  straight A subscript straight o space equals space straight p subscript straight o space end subscript cross times space straight l subscript straight o space equals space open parentheses 200 cross times 100 close parentheses space equals space 20.000 space cm squared  increment straight T space equals space 80 space minus space 0 space equals space 80 space degree straight C end style

Maka pertambahan luas plat adalah :

begin mathsize 14px style increment straight A space equals space straight A subscript straight o space cross times space straight beta cross times increment straight T  increment straight A space equals space straight A subscript straight o space cross times space 2 straight alpha space cross times increment straight T  increment straight A space equals space open parentheses 20.000 close parentheses cross times open parentheses 2 cross times 1 comma 8 space cross times 10 to the power of negative 6 end exponent close parentheses open parentheses 80 close parentheses  increment straight A space equals space 5 comma 76 space cm squared  increment straight A space equals space 57 comma 6 space cross times space 10 to the power of negative 5 end exponent space straight m squared end style

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