Block A is a 50-g aluminium block originally at `90^@C`. Block B is a 100-g aluminium block originally at `45^@C`. The blocks are placed two separate 1.0 litre containers of water that were originally at `20^@C`. When the systems reach thermal equilibrium, which aluminium block will have the higher final temperature?

Options

A. Block A
B. Block B
C. The blocks will have the same final temperature
D. The answer depends on the specific heat of water.

Answer

1

Explanation

`50xxS_(al)xx(90-T)=m_(omega)xxl_(omega)(T-20)....(1)`
`100xxS_(al)xx(45-T')=m_(omega)S_(omega)(T'-20).......(2)`
`((90-T))/(2(45-T'))=(T-20)/(T'-20)=70/(70-T') gt 1`
`:. T gt T'`