Ice -Water mass ratio is maintained as $1 : 1$ in a given system containing water in equilibrium with ice at constant pressure. If $C_{P}$ (ice) = $C_{P}$ (water) = 4.18 J $m o l^{- 1} K^{- 1}$ molar heat capacity of such a system is

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Answer 1

The molar heat capacity is the heat capacity per unit amount (SI unit: mole) of a pure substance, i.e., The amount of heat needed to increase the temperature of one mole of a substance by one degree is the molar heat capacity.
If some finite heat is supplied, the ice would melt to water due to latent heat of fusion, without any change in temperature. So the molar heat capacity, here, is $\frac{h e a t s u p p l i e d}{z e r o} = I n f i n i t y$ .

Answer 2

The molar heat capacity is the heat capacity per unit amount (SI unit: mole) of a pure substance, i.e., The amount of heat needed to increase the temperature of one mole of a substance by one degree is the molar heat capacity.

If some finite heat is supplied, the ice would melt to water due to latent heat of fusion, without any change in temperature. So the molar heat capacity, here, is

\frac{h e a t s u p p l i e d}{z e r o} = I n f i n i t y

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Ice -Water mass ratio is maintained as $1 : 1$ in a given system containing water in equilibrium with ice at constant pressure. If $C_{P}$ (ice) = $C_{P}$ (water) = 4.18 J $m o l^{- 1} K^{- 1}$ molar heat capacity of such a system is

$Z e r o$

$I n f i n i t y$

$4.182 J K^{- 1} m o l^{- 1}$

$75.48 J K^{- 1} m o l^{- 1}$

At a given temperature, the specific heat capacity of a gas at constant pressure is always greater than its specific heat capacity at constant volume.

Bottled soft drinks get cooled, more ............. by the ice cubes than by the iced water, both at $0^{\circ} C$ ?

A piece of ice floating in a glass of water melts, but the level of water in glass does not change. Give reason.

A test tube containing some water is surrounded by melting ice (pure). Then, the water in the test tube will

A test tube containing some water is surrounded by melting ice (pure). Then, the water in the test tube will :

Revise with Concepts

Advanced Knowledge of Change of State

Ice -Water mass ratio is maintained as 1:1 in a given system containing water in equilibrium with ice at constant pressure. If CP​ (ice) = CP​ (water) = 4.18 J mol−1K−1 molar heat capacity of such a system is

Zero

Infinity

4.182JK−1mol−1

75.48JK−1mol−1

At a given temperature, the specific heat capacity of a gas at constant pressure is always greater than its specific heat capacity at constant volume.

Bottled soft drinks get cooled, more ............. by the ice cubes than by the iced water, both at 0∘C ?

A piece of ice floating in a glass of water melts, but the level of water in glass does not change. Give reason.

A test tube containing some water is surrounded by melting ice (pure). Then, the water in the test tube will

A test tube containing some water is surrounded by melting ice (pure). Then, the water in the test tube will :

Revise with Concepts

Advanced Knowledge of Change of State

Ice -Water mass ratio is maintained as $1 : 1$ in a given system containing water in equilibrium with ice at constant pressure. If $C_{P}$ (ice) = $C_{P}$ (water) = 4.18 J $m o l^{- 1} K^{- 1}$ molar heat capacity of such a system is

$Z e r o$

$I n f i n i t y$

$4.182 J K^{- 1} m o l^{- 1}$

$75.48 J K^{- 1} m o l^{- 1}$

Bottled soft drinks get cooled, more ............. by the ice cubes than by the iced water, both at $0^{\circ} C$ ?