(i) Why does a bottle of soft drink cool faster when surrounded by ice cubes than by ice cold water, both at $0^{o} C$ ?
(ii) A certain amount of heat $Q$ will warm $1 g$ of material $X$ by $3^{o} C$ and $1 g$ of material $Y$ by $4^{o} C$ . Which material has a higher specific heat capacity?

Open in App

Solution

(i) A bottle of soft drink cool faster when surrounded by ice cubes than by ice cold water because $1 g$ of ice at $0^{o} C$ takes $336 J$ of heat energy from the soft drink to melt into water at $0^{o} C$ . Thus the soft drink loses an additional $336 J$ of heat energy for $1 g$ ice at $0^{o} C$ than for $1 g$ ice-cold water at $0^{o} C$ . Therefore cooling produced by $1 g$ ice at $0^{o} C$ is more than that by $1 g$ water at $0^{o} C$ .
(ii) Specific heat capacity $= \frac{Q}{m \cdot Δ T}$
$∵$ Specific heat capacity $\propto \frac{1}{Δ T}$
where $ \Delta T$ is the change in temperature. The specific heat capacity is more for the material which is having more change in temperature.
So material $X$ has a higher specific heat capacity.

Suggest Corrections

Similar questions

Q. Bottled soft drinks get cooled, more ............. by the ice cubes than by the iced water, both at

0^{\circ} C

The soft drink bottles are cooled by (i) ice cubes at $0^{o} C$ , and (ii) Iced-water at $0^{o} C$ . Which will cool the drink quickly ? Give reason.

Q. Water at

0^{o} C

cools a soft drink bottles ............... than ice at

0^{o} C

Q. To keep soft drink bottles cool, how much amount of heat is extracted out by ice?

Calculate the amount of ice which is required to cool 150 g of water contained in a vessel of mass 100 g at 30°C, such that the final temperature of the mixture is 5^oC. Take specific heat capacity of material of vessel as 0.4 J g^-1 ^oC^-1 ; specific latent heat of fusion of ice = 336 J g^-1 ; specific heat capacity of water = 4.2 J g^-1 °C^-1.

Join BYJU'S Learning Program

(i) Why does a bottle of soft drink cool faster when surrounded by ice cubes than by ice cold water, both at 0oC?(ii) A certain amount of heat Q will warm 1g of material X by 3oC and 1g of material Y by 4oC. Which material has a higher specific heat capacity?

(i) Why does a bottle of soft drink cool faster when surrounded by ice cubes than by ice cold water, both at $0^{o} C$ ?
(ii) A certain amount of heat $Q$ will warm $1 g$ of material $X$ by $3^{o} C$ and $1 g$ of material $Y$ by $4^{o} C$ . Which material has a higher specific heat capacity?