1 An expansion when temperature is raised from $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$
2 An expansion when temperature is decreased from $4^{\circ} \mathrm{C}$ to $0^{\circ} \mathrm{C}$
3 An expansion when temperature is raised form $0^{\circ} \mathrm{C}$ onwards
4 Contraction when temp is raised from $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$
Explanation:
D Anomalous behavior water, (i) Liquids expands on heating and contract on cooling but water exhibits an exceptional behavior in temperature range $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$. (ii) When water is heated from $0{ }^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$ its volume decreases continuously. (iii) At $4{ }^{\circ} \mathrm{C}$, it Volume is minimum. (iv) Upon heating further, it expands and its volume increases. (v) This behavior of water between temperatures internal energy of $0{ }^{\circ} \mathrm{C}$ to $4{ }^{\circ} \mathrm{C}$ is called anomalous behavior of water.
Assam CEE-2021
Thermodynamics
148212
The coefficient of volume expansion of glycerine is $49 \times 10^{-5} \mathrm{~K}$.The fractional change in its density for a $30^{\circ} \mathrm{C}$ rise in temperature is.
1 $4.17 \times 10^{-2}$
2 $1.47 \times 10^{-2}$
3 $7.14 \times 10^{-2}$
4 $1.74 \times 10^{-2}$
Explanation:
B Given that, Coefficient of volume expansion of glycerin $=49 \times 10^{-5} / \mathrm{k}$ Rise in temperature, $\Delta \mathrm{t}=30^{\circ}$ As we know that, $\gamma=\frac{1}{\Delta \mathrm{T}} \left(\frac{\Delta \mathrm{v}}{\mathrm{v}}\right)$ $\frac{\Delta \mathrm{V}}{\mathrm{v}}=\gamma \Delta \mathrm{T}$ $=\left(49 \times 10^{-5}\right) \times 30$ $=0.0147$ $=1.47 \times 10^{-2}$ Fractional change in density $=$ fraction change in Volume.
Assam CEE-2021
Thermodynamics
148208
Assertion (A) : Heat and work are modes of energy transfer to a system resulting in change in its internal energy. Reason (R): Heat and work in thermodynamics are state variable. The correct option among the following is
1 (A) is true, (R) is true and (R) is the correct explanation for $(\mathrm{A})$
2 (A) is true, (R) is true but (R) is not the correct explanation for $(\mathrm{A})$
3 (A) is true but (R) is false
4 (A) is false but (R) is true
Explanation:
C Properties like temperature, pressure, volume, internal energy, entropy enthalpy etc. can be described as state variable because the difference in their Values between any two equilibrium state does not depend on the path connecting the states. The thermodynamic quantities of heat and work are not state variables because they depend on the path connecting the states.
TS EAMCET 19.07.2022
Thermodynamics
148214
If $x$ gram steam at $100^{\circ} \mathrm{C}$ is mixed $y$ gram ice at $0^{\circ} \mathrm{C}$, final product is $(x+y)$ gram water at $100^{\circ} \mathrm{C}$. The ratio $\mathrm{y} / \mathrm{x}$ will be
1 1
2 2
3 3
4 4
Explanation:
C Given that, Mass of steam $=\mathrm{x}$ Temperature $\Delta \mathrm{t}=100{ }^{\circ} \mathrm{C}$ Heat given out when $\mathrm{x}$ grams of steam at $100{ }^{\circ} \mathrm{C}$ is converted to water of $100^{\circ} \mathrm{C}$ $(\text { Heat })_{1}=540 \mathrm{x}$ Heat gained by ice at $0^{\circ} \mathrm{C}$ $(\text { Heat })_{2}=80 \mathrm{y}+\mathrm{y}(100-0)$ $(\text { Heat })_{2}=180 \mathrm{y}$ According to Law of calorimeter $(\text { Heat })_{1}=(\text { Heat })_{2}$ $540 \mathrm{x}=180 \mathrm{y}$ $\frac{\mathrm{y}}{\mathrm{x}}=\frac{540}{180}$ $\frac{\mathrm{y}}{\mathrm{x}}=3$
1 An expansion when temperature is raised from $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$
2 An expansion when temperature is decreased from $4^{\circ} \mathrm{C}$ to $0^{\circ} \mathrm{C}$
3 An expansion when temperature is raised form $0^{\circ} \mathrm{C}$ onwards
4 Contraction when temp is raised from $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$
Explanation:
D Anomalous behavior water, (i) Liquids expands on heating and contract on cooling but water exhibits an exceptional behavior in temperature range $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$. (ii) When water is heated from $0{ }^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$ its volume decreases continuously. (iii) At $4{ }^{\circ} \mathrm{C}$, it Volume is minimum. (iv) Upon heating further, it expands and its volume increases. (v) This behavior of water between temperatures internal energy of $0{ }^{\circ} \mathrm{C}$ to $4{ }^{\circ} \mathrm{C}$ is called anomalous behavior of water.
Assam CEE-2021
Thermodynamics
148212
The coefficient of volume expansion of glycerine is $49 \times 10^{-5} \mathrm{~K}$.The fractional change in its density for a $30^{\circ} \mathrm{C}$ rise in temperature is.
1 $4.17 \times 10^{-2}$
2 $1.47 \times 10^{-2}$
3 $7.14 \times 10^{-2}$
4 $1.74 \times 10^{-2}$
Explanation:
B Given that, Coefficient of volume expansion of glycerin $=49 \times 10^{-5} / \mathrm{k}$ Rise in temperature, $\Delta \mathrm{t}=30^{\circ}$ As we know that, $\gamma=\frac{1}{\Delta \mathrm{T}} \left(\frac{\Delta \mathrm{v}}{\mathrm{v}}\right)$ $\frac{\Delta \mathrm{V}}{\mathrm{v}}=\gamma \Delta \mathrm{T}$ $=\left(49 \times 10^{-5}\right) \times 30$ $=0.0147$ $=1.47 \times 10^{-2}$ Fractional change in density $=$ fraction change in Volume.
Assam CEE-2021
Thermodynamics
148208
Assertion (A) : Heat and work are modes of energy transfer to a system resulting in change in its internal energy. Reason (R): Heat and work in thermodynamics are state variable. The correct option among the following is
1 (A) is true, (R) is true and (R) is the correct explanation for $(\mathrm{A})$
2 (A) is true, (R) is true but (R) is not the correct explanation for $(\mathrm{A})$
3 (A) is true but (R) is false
4 (A) is false but (R) is true
Explanation:
C Properties like temperature, pressure, volume, internal energy, entropy enthalpy etc. can be described as state variable because the difference in their Values between any two equilibrium state does not depend on the path connecting the states. The thermodynamic quantities of heat and work are not state variables because they depend on the path connecting the states.
TS EAMCET 19.07.2022
Thermodynamics
148214
If $x$ gram steam at $100^{\circ} \mathrm{C}$ is mixed $y$ gram ice at $0^{\circ} \mathrm{C}$, final product is $(x+y)$ gram water at $100^{\circ} \mathrm{C}$. The ratio $\mathrm{y} / \mathrm{x}$ will be
1 1
2 2
3 3
4 4
Explanation:
C Given that, Mass of steam $=\mathrm{x}$ Temperature $\Delta \mathrm{t}=100{ }^{\circ} \mathrm{C}$ Heat given out when $\mathrm{x}$ grams of steam at $100{ }^{\circ} \mathrm{C}$ is converted to water of $100^{\circ} \mathrm{C}$ $(\text { Heat })_{1}=540 \mathrm{x}$ Heat gained by ice at $0^{\circ} \mathrm{C}$ $(\text { Heat })_{2}=80 \mathrm{y}+\mathrm{y}(100-0)$ $(\text { Heat })_{2}=180 \mathrm{y}$ According to Law of calorimeter $(\text { Heat })_{1}=(\text { Heat })_{2}$ $540 \mathrm{x}=180 \mathrm{y}$ $\frac{\mathrm{y}}{\mathrm{x}}=\frac{540}{180}$ $\frac{\mathrm{y}}{\mathrm{x}}=3$
1 An expansion when temperature is raised from $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$
2 An expansion when temperature is decreased from $4^{\circ} \mathrm{C}$ to $0^{\circ} \mathrm{C}$
3 An expansion when temperature is raised form $0^{\circ} \mathrm{C}$ onwards
4 Contraction when temp is raised from $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$
Explanation:
D Anomalous behavior water, (i) Liquids expands on heating and contract on cooling but water exhibits an exceptional behavior in temperature range $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$. (ii) When water is heated from $0{ }^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$ its volume decreases continuously. (iii) At $4{ }^{\circ} \mathrm{C}$, it Volume is minimum. (iv) Upon heating further, it expands and its volume increases. (v) This behavior of water between temperatures internal energy of $0{ }^{\circ} \mathrm{C}$ to $4{ }^{\circ} \mathrm{C}$ is called anomalous behavior of water.
Assam CEE-2021
Thermodynamics
148212
The coefficient of volume expansion of glycerine is $49 \times 10^{-5} \mathrm{~K}$.The fractional change in its density for a $30^{\circ} \mathrm{C}$ rise in temperature is.
1 $4.17 \times 10^{-2}$
2 $1.47 \times 10^{-2}$
3 $7.14 \times 10^{-2}$
4 $1.74 \times 10^{-2}$
Explanation:
B Given that, Coefficient of volume expansion of glycerin $=49 \times 10^{-5} / \mathrm{k}$ Rise in temperature, $\Delta \mathrm{t}=30^{\circ}$ As we know that, $\gamma=\frac{1}{\Delta \mathrm{T}} \left(\frac{\Delta \mathrm{v}}{\mathrm{v}}\right)$ $\frac{\Delta \mathrm{V}}{\mathrm{v}}=\gamma \Delta \mathrm{T}$ $=\left(49 \times 10^{-5}\right) \times 30$ $=0.0147$ $=1.47 \times 10^{-2}$ Fractional change in density $=$ fraction change in Volume.
Assam CEE-2021
Thermodynamics
148208
Assertion (A) : Heat and work are modes of energy transfer to a system resulting in change in its internal energy. Reason (R): Heat and work in thermodynamics are state variable. The correct option among the following is
1 (A) is true, (R) is true and (R) is the correct explanation for $(\mathrm{A})$
2 (A) is true, (R) is true but (R) is not the correct explanation for $(\mathrm{A})$
3 (A) is true but (R) is false
4 (A) is false but (R) is true
Explanation:
C Properties like temperature, pressure, volume, internal energy, entropy enthalpy etc. can be described as state variable because the difference in their Values between any two equilibrium state does not depend on the path connecting the states. The thermodynamic quantities of heat and work are not state variables because they depend on the path connecting the states.
TS EAMCET 19.07.2022
Thermodynamics
148214
If $x$ gram steam at $100^{\circ} \mathrm{C}$ is mixed $y$ gram ice at $0^{\circ} \mathrm{C}$, final product is $(x+y)$ gram water at $100^{\circ} \mathrm{C}$. The ratio $\mathrm{y} / \mathrm{x}$ will be
1 1
2 2
3 3
4 4
Explanation:
C Given that, Mass of steam $=\mathrm{x}$ Temperature $\Delta \mathrm{t}=100{ }^{\circ} \mathrm{C}$ Heat given out when $\mathrm{x}$ grams of steam at $100{ }^{\circ} \mathrm{C}$ is converted to water of $100^{\circ} \mathrm{C}$ $(\text { Heat })_{1}=540 \mathrm{x}$ Heat gained by ice at $0^{\circ} \mathrm{C}$ $(\text { Heat })_{2}=80 \mathrm{y}+\mathrm{y}(100-0)$ $(\text { Heat })_{2}=180 \mathrm{y}$ According to Law of calorimeter $(\text { Heat })_{1}=(\text { Heat })_{2}$ $540 \mathrm{x}=180 \mathrm{y}$ $\frac{\mathrm{y}}{\mathrm{x}}=\frac{540}{180}$ $\frac{\mathrm{y}}{\mathrm{x}}=3$
1 An expansion when temperature is raised from $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$
2 An expansion when temperature is decreased from $4^{\circ} \mathrm{C}$ to $0^{\circ} \mathrm{C}$
3 An expansion when temperature is raised form $0^{\circ} \mathrm{C}$ onwards
4 Contraction when temp is raised from $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$
Explanation:
D Anomalous behavior water, (i) Liquids expands on heating and contract on cooling but water exhibits an exceptional behavior in temperature range $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$. (ii) When water is heated from $0{ }^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$ its volume decreases continuously. (iii) At $4{ }^{\circ} \mathrm{C}$, it Volume is minimum. (iv) Upon heating further, it expands and its volume increases. (v) This behavior of water between temperatures internal energy of $0{ }^{\circ} \mathrm{C}$ to $4{ }^{\circ} \mathrm{C}$ is called anomalous behavior of water.
Assam CEE-2021
Thermodynamics
148212
The coefficient of volume expansion of glycerine is $49 \times 10^{-5} \mathrm{~K}$.The fractional change in its density for a $30^{\circ} \mathrm{C}$ rise in temperature is.
1 $4.17 \times 10^{-2}$
2 $1.47 \times 10^{-2}$
3 $7.14 \times 10^{-2}$
4 $1.74 \times 10^{-2}$
Explanation:
B Given that, Coefficient of volume expansion of glycerin $=49 \times 10^{-5} / \mathrm{k}$ Rise in temperature, $\Delta \mathrm{t}=30^{\circ}$ As we know that, $\gamma=\frac{1}{\Delta \mathrm{T}} \left(\frac{\Delta \mathrm{v}}{\mathrm{v}}\right)$ $\frac{\Delta \mathrm{V}}{\mathrm{v}}=\gamma \Delta \mathrm{T}$ $=\left(49 \times 10^{-5}\right) \times 30$ $=0.0147$ $=1.47 \times 10^{-2}$ Fractional change in density $=$ fraction change in Volume.
Assam CEE-2021
Thermodynamics
148208
Assertion (A) : Heat and work are modes of energy transfer to a system resulting in change in its internal energy. Reason (R): Heat and work in thermodynamics are state variable. The correct option among the following is
1 (A) is true, (R) is true and (R) is the correct explanation for $(\mathrm{A})$
2 (A) is true, (R) is true but (R) is not the correct explanation for $(\mathrm{A})$
3 (A) is true but (R) is false
4 (A) is false but (R) is true
Explanation:
C Properties like temperature, pressure, volume, internal energy, entropy enthalpy etc. can be described as state variable because the difference in their Values between any two equilibrium state does not depend on the path connecting the states. The thermodynamic quantities of heat and work are not state variables because they depend on the path connecting the states.
TS EAMCET 19.07.2022
Thermodynamics
148214
If $x$ gram steam at $100^{\circ} \mathrm{C}$ is mixed $y$ gram ice at $0^{\circ} \mathrm{C}$, final product is $(x+y)$ gram water at $100^{\circ} \mathrm{C}$. The ratio $\mathrm{y} / \mathrm{x}$ will be
1 1
2 2
3 3
4 4
Explanation:
C Given that, Mass of steam $=\mathrm{x}$ Temperature $\Delta \mathrm{t}=100{ }^{\circ} \mathrm{C}$ Heat given out when $\mathrm{x}$ grams of steam at $100{ }^{\circ} \mathrm{C}$ is converted to water of $100^{\circ} \mathrm{C}$ $(\text { Heat })_{1}=540 \mathrm{x}$ Heat gained by ice at $0^{\circ} \mathrm{C}$ $(\text { Heat })_{2}=80 \mathrm{y}+\mathrm{y}(100-0)$ $(\text { Heat })_{2}=180 \mathrm{y}$ According to Law of calorimeter $(\text { Heat })_{1}=(\text { Heat })_{2}$ $540 \mathrm{x}=180 \mathrm{y}$ $\frac{\mathrm{y}}{\mathrm{x}}=\frac{540}{180}$ $\frac{\mathrm{y}}{\mathrm{x}}=3$
