(B) The heat supplied is given by $\Delta Q = mc\Delta T$.Substituting the values: $20000 = 1 \times 400 \times \Delta T$.Thus,$\Delta T = \frac{20000

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(B) The heat supplied is given by $\Delta Q = mc\Delta T$.Substituting the values: $20000 = 1 \times 400 \times \Delta T$.Thus,$\Delta T = \frac{20000}{400} = 50\,^oC$.The work done at constant atmospheric pressure is $W = P\Delta V$.Since $\Delta V = V_0 \gamma \Delta T$,we have $W = P V_0 \gamma \Delta T$.The initial volume $V_0 = \frac{m}{\rho} = \frac{1}{9000}\,m^3$.Substituting the values: $W = (10^5) \times (\frac{1}{9000}) \times (9 \times 10^{-5}) \times 50$.$W = 10^5 \times \frac{1}{9 \times 10^3} \times 9 \times 10^{-5} \times 50 = 10^5 \times 10^{-8} \times 50 = 10^{-3} \times 50 = 0.05\,J$.

Class 11 Physics 10-1.Thermometry, Thermal Expansion and Calorimetry Mix Examples-Thermometry, Thermal Expansion and Calorimetry

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$A$ cylinder of mass $1\,kg$ is given heat of $20000\,J$ at atmospheric pressure. If the initial temperature of the cylinder is $20\,^oC$,then the work done by the cylinder will be .......$J$. (Given: Specific heat of cylinder $= 400\,J\,kg^{-1}\,^oC^{-1}$,Coefficient of volume expansion $= 9 \times 10^{-5}\,^oC^{-1}$,Atmospheric pressure $= 10^5\,N/m^2$,and density of cylinder $= 9000\,kg/m^3$)

A
$0.02$
B
$0.05$
C
$0.08$
D
$0.1$

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10-1.Thermometry, Thermal Expansion and Calorimetry

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Mix Examples-Thermometry, Thermal Expansion and Calorimetry

$A$ hailstone at $0^{\circ}C$ falls from a height of $1\, km$ on an insulating surface,converting the whole of its kinetic energy into heat. What part of it will melt? (Take $g = 10\, m/s^2$,$J = 4.2\, J/cal$,and latent heat of fusion of ice $L = 80\, cal/g = 80 \times 10^3\, cal/kg$)

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If $1\; g$ of steam at $100^{\circ}C$ is mixed with $1\; g$ of ice at $0^{\circ}C$,then the resultant temperature of the mixture is ........ $^{\circ}C$.

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The top of a lake gets frozen at a place where the surrounding air is at a temperature of $-20\,^oC$. Then

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$A$ lead bullet of $20 \ g$ travelling at $300 \ m/s$ strikes against a block of wood and comes to rest. Assuming $50 \%$ of heat is absorbed by the bullet,the increase in its temperature is $.....^{\circ} C$ (take specific heat of lead $= 150 \ J/kg \cdot K$).

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One $kg$ of water, at $20, ^oC$, is heated in an electric kettle whose heating element has a mean (temperature averaged) resistance of $20, \Omega$. The rms voltage in the mains is $200, V$. Ignoring heat loss from the kettle, the time taken for water to evaporate fully is close to.......... $min$. [Specific heat of water $= 4200, J/kg, ^oC$, Latent heat of water $= 2260, kJ/kg$]

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$A$ hailstone at $0^{\circ}C$ falls from a height of $1\, km$ on an insulating surface,converting the whole of its kinetic energy into heat. What part of it will melt? (Take $g = 10\, m/s^2$,$J = 4.2\, J/cal$,and latent heat of fusion of ice $L = 80\, cal/g = 80 \times 10^3\, cal/kg$)

If $1\; g$ of steam at $100^{\circ}C$ is mixed with $1\; g$ of ice at $0^{\circ}C$,then the resultant temperature of the mixture is ........ $^{\circ}C$.

The top of a lake gets frozen at a place where the surrounding air is at a temperature of $-20\,^oC$. Then

$A$ lead bullet of $20 \ g$ travelling at $300 \ m/s$ strikes against a block of wood and comes to rest. Assuming $50 \%$ of heat is absorbed by the bullet,the increase in its temperature is $.....^{\circ} C$ (take specific heat of lead $= 150 \ J/kg \cdot K$).

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