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?
Answer:The specific heat of the first block is 0.64 J/gK,
Explanation:
Block-2
\(Q= m\times c\times \Delta T\)
Q= heat from the sun
m = mass of the block-2
c = heat capacity of block-2= 0.24 J/g K
\(\Delta T={\text{Change in temperature}}=8^oC\)
\(Q=m\times c\times 8^C\)..(1)
Block-1
Q= heat from the sun
m = mass of the block-2
c' = heat capacity of block-1
\(\Delta T'={\text{Change in temperature}}=3^oC\)
\(Q=m\times c'\times 3^oC\)..(2)
Dividing(1) by (2)
\(\frac{Q}{Q}=\frac{m\times 0.24 J/gK\times 8oC}{m\times c'\times 3^oC}\)
c'= 0.64 J/gK
he specific heat of the first block is 0.64 J/gK,