Question

(i) Why does a bottle of soft drink cool faster when surrounded by ice cubes than by ice-cold water, both at $0°C$?

(ii) A certain amount of heat $Q$ will warm $1g$ of material $X$ by $3°C$ and $1g$of material $Y$ by $4°C$. Which material has a higher specific heat capacity?

Answer 1

(i) 1. Soft drinks cool faster when it surrounded by ice cubes than cold water because $1g$ of ice cubes take more heat energy $336J$ to melt into water.

2. Soft drinks cool faster in ice cubes due to their more specific heat.

(ii) Step 1: Given data

Mass of material $X=1g$

Mass of material $Y=1g$

Temperature of $X=3°C$

Temperature of $Y=4°C$

Finding the material which has a higher specific heat capacity.

Step 2: Heat energy of the substance

As we know, the heat energy

$Q=mC∆t$

$C=\frac{Q}{m∆t}$

$Specificheatcapacity=\frac{Q}{m∆t}$

$Specificheatcapacity\alpha \frac{1}{∆t}$

1. Specific heat capacity is inversely proportional to changes in temperature.
2. If the temperature is more than specific heat capacity will be less. So, it is clearly visible that material $X$ has less temperature therefore it has more specific capacity than material $Y.$