The mass, specific heat capacity and the temperature of a solid are `1000g,(1)/(2) (cal)/g ^(@)C` and `80^(@)C` respectively. The mass of the liquid and the calorimeter are `900g` and `200g`. Initially,both are at room temperature `20^(@)C` Both calorimeter and the solid are made of same material. In the steady state, temperature of mixture is `40^(@)C`, then specific heat capacity of the unknown liquid.

Options

A. `0.25 cal//gm^(@) C`
B. ` 0.5 cal //gm ^(@)C`
C. `1 cal //gm ^(@)C`
D. `1.5 cal //gm^(@)C`

Answer

C

Explanation

`S_(2) =((100) ((1)/(2))(80^(@) -40^(@)))/( 900(40^(@) -20^(@)))-((200)((1)/(2)))/(900)`
`=1 cal//gm^(@)C`