(C) For a process at constant volume,the heat supplied $(\Delta Q)_V$ is equal to the change in internal energy $(\Delta U)$.Given: $\Delta U = 80 \ J

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(C) For a process at constant volume,the heat supplied $(\Delta Q)_V$ is equal to the change in internal energy $(\Delta U)$.Given: $\Delta U = 80 \ J$,$\Delta T = 120^{\circ}C - 100^{\circ}C = 20 \ K$.The total heat capacity at constant volume $(C_{total})$ is defined as $C_{total} = \frac{(\Delta Q)_V}{\Delta T}$.Since $(\Delta Q)_V = \Delta U$,we have $C_{total} = \frac{\Delta U}{\Delta T}$.Substituting the values: $C_{total} = \frac{80 \ J}{20 \ K} = 4 \ J/K$.

Class 11 Physics 10-1.Thermometry, Thermal Expansion and Calorimetry Heat Capacity, Specific Heat and Molar Specific Heat

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The temperature of $5$ moles of a gas which was held at constant volume was changed from $100^{\circ}C$ to $120^{\circ}C$. The change in internal energy was found to be $80$ Joules. The total heat capacity of the gas at constant volume will be equal to ...... $J/K$.

A
$8$
B
$0.8$
C
$4.0$
D
$0.4$

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10-1.Thermometry, Thermal Expansion and Calorimetry

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Heat Capacity, Specific Heat and Molar Specific Heat

The specific heat of a metal at low temperatures varies according to $S = aT^3$,where $a$ is a constant and $T$ is the absolute temperature. The heat energy needed to raise unit mass of the metal from $T = 1 \ K$ to $T = 2 \ K$ is:

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The density of a material $A$ is $1500 \ kg/m^3$ and that of another material $B$ is $2000 \ kg/m^3$. It is found that the heat capacity of $8$ volumes of $A$ is equal to the heat capacity of $12$ volumes of $B$. The ratio of specific heats of $A$ and $B$ will be

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If the ratio of the diameters of two spheres made of the same material is $1:2$,what is the ratio of their heat capacities?

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$100 \ g$ of water is heated from $30^\circ C$ to $50^\circ C$. Ignoring the slight expansion of the water,the change in its internal energy is .......$kJ$ (specific heat of water is $4184 \ J/kg/K$):

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Define specific heat capacity and write its $SI$ unit.

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The temperature of $5$ moles of a gas which was held at constant volume was changed from $100^{\circ}C$ to $120^{\circ}C$. The change in internal energy was found to be $80$ Joules. The total heat capacity of the gas at constant volume will be equal to ...... $J/K$.

Similar Questions

The specific heat of a metal at low temperatures varies according to $S = aT^3$,where $a$ is a constant and $T$ is the absolute temperature. The heat energy needed to raise unit mass of the metal from $T = 1 \ K$ to $T = 2 \ K$ is:

The density of a material $A$ is $1500 \ kg/m^3$ and that of another material $B$ is $2000 \ kg/m^3$. It is found that the heat capacity of $8$ volumes of $A$ is equal to the heat capacity of $12$ volumes of $B$. The ratio of specific heats of $A$ and $B$ will be

If the ratio of the diameters of two spheres made of the same material is $1:2$,what is the ratio of their heat capacities?

$100 \ g$ of water is heated from $30^\circ C$ to $50^\circ C$. Ignoring the slight expansion of the water,the change in its internal energy is .......$kJ$ (specific heat of water is $4184 \ J/kg/K$):

Define specific heat capacity and write its $SI$ unit.

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