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Sebuah mesin mula-mula bertekanan  pada suhu 37°C. Gas di dalam mesin tersebut dimampatkan sehingga terjadi proses adiabatik dengan tekanan akhir gas menjadi . Jika konstanta Laplace 5/3. Suhu akhir gas setelah terjadi proses adalah....

Pertanyaan

Sebuah mesin mula-mula bertekanan begin mathsize 14px style 2 comma 0 cross times 10 to the power of 5 space straight N divided by straight m squared end style pada suhu 37°C. Gas di dalam mesin tersebut dimampatkan sehingga terjadi proses adiabatik dengan tekanan akhir gas menjadi begin mathsize 14px style 6 comma 4 cross times 10 to the power of 5 space straight N divided by straight m squared end style. Jika konstanta Laplace 5/3. Suhu akhir gas setelah terjadi proses adalah....

Pembahasan Video:

Pembahasan Soal:

Diketahui :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell P subscript 1 end cell equals cell 2 cross times 10 to the power of 5 space straight N divided by straight m squared end cell row cell P subscript 2 end cell equals cell 6 comma 4 cross times 10 to the power of 5 space straight N divided by straight m squared end cell row cell T subscript italic 1 end cell equals cell 37 to the power of ring operator straight C equals 310 space straight K end cell row gamma equals cell 5 divided by 3 end cell end table end style 

Persamaan keadaan Adiabatik:

begin mathsize 14px style P subscript 1 times V to the power of gamma subscript 1 equals P subscript 2 times V subscript 2 to the power of gamma end style...(1)         begin mathsize 14px style T subscript 1 times V subscript 1 to the power of gamma minus 1 end exponent equals T subscript 2 times V subscript 2 to the power of gamma minus 1 end exponent end style ...(2) 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell P subscript 2 over P subscript 1 end cell equals cell open parentheses V subscript 1 over V subscript 2 close parentheses to the power of gamma end cell row cell open parentheses P subscript 2 over P subscript 1 close parentheses to the power of 1 over gamma end exponent end cell equals cell V subscript 1 over V subscript 2 end cell row cell T subscript 1 times V subscript 1 to the power of gamma minus 1 end exponent end cell equals cell T subscript 2 times V subscript 2 to the power of gamma minus 1 end exponent end cell row cell open parentheses V subscript 1 over V subscript 2 close parentheses to the power of gamma minus 1 end exponent end cell equals cell T subscript 2 over T subscript 1 end cell row cell open square brackets open parentheses P subscript 2 over P subscript 1 close parentheses to the power of 1 over gamma end exponent close square brackets to the power of gamma minus 1 end exponent end cell equals cell T subscript 2 over T subscript 1 end cell row cell open parentheses P subscript 2 over P subscript 1 close parentheses to the power of fraction numerator gamma minus 1 over denominator gamma end fraction end exponent end cell equals cell T subscript 2 over T subscript 1 end cell row cell T subscript 2 end cell equals cell open parentheses P subscript 2 over P subscript 1 close parentheses to the power of fraction numerator gamma minus 1 over denominator gamma end fraction end exponent cross times T subscript 1 end cell row blank equals cell open parentheses fraction numerator 6 comma 4 cross times 10 to the power of 5 over denominator 2 cross times 10 to the power of 5 end fraction close parentheses to the power of fraction numerator 5 divided by 3 minus 1 over denominator 5 divided by 3 end fraction end exponent cross times 310 end cell row blank equals cell left parenthesis 3 comma 2 right parenthesis to the power of 2 divided by 5 end exponent cross times 310 space end cell row blank almost equal to cell 493 comma 65 space K end cell row blank equals cell 220 comma space 65 to the power of ring operator C end cell end table end style 

Jadi suhu akhir terjadi pada 220,65°C

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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