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Two pieces of metal with exactly the same mass are placed on a surface in bright sunlight. The temperature of the 1st block increases by 3°C while the temperature of the 2nd increases by 8°C. If the specific heat of the 2nd block is 0.24 J/g-K, what is the specific heat of the 1st block?

Respuesta :

B. 0.64 J/g-K I already did the test this was the correct answer

Answer:The specific heat of the first block is 0.64 J/gK,

Explanation:

Block-2

[tex]Q= m\times c\times \Delta T[/tex]

Q= heat from the sun

m = mass of the block-2

c = heat capacity of block-2= 0.24 J/g K

[tex]\Delta T={\text{Change in temperature}}=8^oC[/tex]

[tex]Q=m\times c\times 8^C[/tex]..(1)

Block-1

Q= heat from the sun

m = mass of the block-2

c' = heat capacity of block-1

[tex]\Delta T'={\text{Change in temperature}}=3^oC[/tex]

[tex]Q=m\times c'\times 3^oC[/tex]..(2)

Dividing(1) by (2)

[tex]\frac{Q}{Q}=\frac{m\times 0.24 J/gK\times 8oC}{m\times c'\times 3^oC}[/tex]

c'= 0.64 J/gK

he specific heat of the first block is 0.64 J/gK,