Bomb calorimeters are the devices that are used to experimentally determine `DeltaH` and `DeltaU` of any reaction by measuring the temperature change in the water bath Hence , the experimatal data can be used for cross-checking theortical data, From the following theoretical data answer the question that follow:
Thermodynamic data:
`DeltaH_(f)^(@)Ch_(4)(g)=- 15 kcal //"mole", DeltaH_(f)^(@) CO_(2)(g)=-90 kcal//"mole",`
`DeltaH_(f)^(@)H_(2)O(l)=-60 Kcal//"mole"`
`S_(m)^(@) CH_(4)(g)= 40 cal//"mole Kelivn"`
`S_(m)^(@) O(g)= 45 cal//"mole Kelivn"`
`S_(m)^(@) H_(2)O(g)= 15 cal//"mole Kelivn"`
`S_(m)^(@) CO_(2)(g)= 50 cal//"mole Kelivn"`
Calorimeter data:
(1) Water equivlent of calorimaeter = 36 gm
(2) Sepcific heat capacity of water = `1 cal//gm .^(@)C`
(2) mass of water inthe water bath =164 gm
All data at 300 K, `R=2 cal//"mol "K` .
Calculate rise in temperature of calorimeter if 0.01 moles of `CH_(4)(g)` undergoes combustion in the above bonb calorimeter at 300 K .

Options

A. `9.18 K`
B. `9.696 K`
C. `12 K`
D. `8.8 K`

Answer

b