Calorimetry
PHXI11:THERMAL PROPERTIES OF MATTER

366281 A water cooler of storage capacity 120 liters can cool water at a constant rate of \(P\) watts. In a closed circulation system, the water from the cooler is used to cool an external device that generates constantly \(3\;kW\) of heat (thermal load). The temperature of water fed into the device cannot exceed of \(30^\circ C\) and the entire stored 120 liters of water is initially cooled to \(10^\circ C\). The entire system is thermally insulated. The minimum value of \(P\) (in watts) for which the device can be operated for 3 hours is (Specific heat of water is \(4.2\,KJ\,k{g^{ - 1}}\;{K^{ - 1}}\) and the density of water is \(1000\;kg\;{m^{ - 3}}\) )

1 2067
2 1600
3 3933
4 2533
PHXI11:THERMAL PROPERTIES OF MATTER

366282 Three copper blocks of masses \(M_{1}, M_{2}\) and \(M_{3}\) \(kg\) respectively are brought into thermal contact till they reach equilibrium. Before contact, they were at \(T_{1}, T_{2}, T_{3}\left(T_{1}>T_{2}>T_{3}\right)\). Assuming there is no heat loss to the surroundings, the equilibrium temperature \(T\) is (\(s\) is specific heat of copper)

1 \(T=\dfrac{T_{1}+T_{2}+T_{3}}{3}\)
2 \(T=\dfrac{M_{1} T_{1}+M_{2} T_{2}+M_{3} T_{3}}{M_{1}+M_{2}+M_{3}}\)
3 \(T=\dfrac{M_{1} T_{1}+M_{2} T_{2}+M_{3} T_{3}}{3\left(M_{1}+M_{2}+M_{3}\right)}\)
4 \(T=\dfrac{M_{1} T_{1} s+M_{2} T_{2} s+M_{3} T_{3} s}{M_{1}+M_{2}+M_{3}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366283 A mass of \(50\,g\) of water in a closed vessel, with surroundings at a constant temperature takes 2 minutes to cool from \(30^\circ C\) to \(25^\circ C\). A mass of \(100\,g\) of another liquid in an identical vessel with identical surroundings takes the same time to cool from \(30^\circ C\) to \(25^\circ C\). The specific heat of the liquid is: (The water equivalent of the vessel is \(30\,g\).)

1 \(2.0\,kcal/kg\)
2 \(7\,kcal/kg\)
3 \(3\,kcal/g\)
4 \(0.5\,kcal/kg\)
PHXI11:THERMAL PROPERTIES OF MATTER

366284 Assertion :
Molar heat capacity is the amount of heat required to raise the temperature of a unit mole by one degree.
Reason :
Heat capacity is the amount of heat needed to raise a system temperature by one degree.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
PHXI11:THERMAL PROPERTIES OF MATTER

366285 Three bodies of the same material and having masses \(m,2\;m\) and \(3\;m\) are at temperature \(40^\circ C,50^\circ C\) and \(60^\circ C\) respectively. If the bodies are brought in thermal contact, the final temperature will be

1 \(54^\circ C\)
2 \(45^\circ C\)
3 \(48^\circ C\)
4 \(52^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366281 A water cooler of storage capacity 120 liters can cool water at a constant rate of \(P\) watts. In a closed circulation system, the water from the cooler is used to cool an external device that generates constantly \(3\;kW\) of heat (thermal load). The temperature of water fed into the device cannot exceed of \(30^\circ C\) and the entire stored 120 liters of water is initially cooled to \(10^\circ C\). The entire system is thermally insulated. The minimum value of \(P\) (in watts) for which the device can be operated for 3 hours is (Specific heat of water is \(4.2\,KJ\,k{g^{ - 1}}\;{K^{ - 1}}\) and the density of water is \(1000\;kg\;{m^{ - 3}}\) )

1 2067
2 1600
3 3933
4 2533
PHXI11:THERMAL PROPERTIES OF MATTER

366282 Three copper blocks of masses \(M_{1}, M_{2}\) and \(M_{3}\) \(kg\) respectively are brought into thermal contact till they reach equilibrium. Before contact, they were at \(T_{1}, T_{2}, T_{3}\left(T_{1}>T_{2}>T_{3}\right)\). Assuming there is no heat loss to the surroundings, the equilibrium temperature \(T\) is (\(s\) is specific heat of copper)

1 \(T=\dfrac{T_{1}+T_{2}+T_{3}}{3}\)
2 \(T=\dfrac{M_{1} T_{1}+M_{2} T_{2}+M_{3} T_{3}}{M_{1}+M_{2}+M_{3}}\)
3 \(T=\dfrac{M_{1} T_{1}+M_{2} T_{2}+M_{3} T_{3}}{3\left(M_{1}+M_{2}+M_{3}\right)}\)
4 \(T=\dfrac{M_{1} T_{1} s+M_{2} T_{2} s+M_{3} T_{3} s}{M_{1}+M_{2}+M_{3}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366283 A mass of \(50\,g\) of water in a closed vessel, with surroundings at a constant temperature takes 2 minutes to cool from \(30^\circ C\) to \(25^\circ C\). A mass of \(100\,g\) of another liquid in an identical vessel with identical surroundings takes the same time to cool from \(30^\circ C\) to \(25^\circ C\). The specific heat of the liquid is: (The water equivalent of the vessel is \(30\,g\).)

1 \(2.0\,kcal/kg\)
2 \(7\,kcal/kg\)
3 \(3\,kcal/g\)
4 \(0.5\,kcal/kg\)
PHXI11:THERMAL PROPERTIES OF MATTER

366284 Assertion :
Molar heat capacity is the amount of heat required to raise the temperature of a unit mole by one degree.
Reason :
Heat capacity is the amount of heat needed to raise a system temperature by one degree.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
PHXI11:THERMAL PROPERTIES OF MATTER

366285 Three bodies of the same material and having masses \(m,2\;m\) and \(3\;m\) are at temperature \(40^\circ C,50^\circ C\) and \(60^\circ C\) respectively. If the bodies are brought in thermal contact, the final temperature will be

1 \(54^\circ C\)
2 \(45^\circ C\)
3 \(48^\circ C\)
4 \(52^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366281 A water cooler of storage capacity 120 liters can cool water at a constant rate of \(P\) watts. In a closed circulation system, the water from the cooler is used to cool an external device that generates constantly \(3\;kW\) of heat (thermal load). The temperature of water fed into the device cannot exceed of \(30^\circ C\) and the entire stored 120 liters of water is initially cooled to \(10^\circ C\). The entire system is thermally insulated. The minimum value of \(P\) (in watts) for which the device can be operated for 3 hours is (Specific heat of water is \(4.2\,KJ\,k{g^{ - 1}}\;{K^{ - 1}}\) and the density of water is \(1000\;kg\;{m^{ - 3}}\) )

1 2067
2 1600
3 3933
4 2533
PHXI11:THERMAL PROPERTIES OF MATTER

366282 Three copper blocks of masses \(M_{1}, M_{2}\) and \(M_{3}\) \(kg\) respectively are brought into thermal contact till they reach equilibrium. Before contact, they were at \(T_{1}, T_{2}, T_{3}\left(T_{1}>T_{2}>T_{3}\right)\). Assuming there is no heat loss to the surroundings, the equilibrium temperature \(T\) is (\(s\) is specific heat of copper)

1 \(T=\dfrac{T_{1}+T_{2}+T_{3}}{3}\)
2 \(T=\dfrac{M_{1} T_{1}+M_{2} T_{2}+M_{3} T_{3}}{M_{1}+M_{2}+M_{3}}\)
3 \(T=\dfrac{M_{1} T_{1}+M_{2} T_{2}+M_{3} T_{3}}{3\left(M_{1}+M_{2}+M_{3}\right)}\)
4 \(T=\dfrac{M_{1} T_{1} s+M_{2} T_{2} s+M_{3} T_{3} s}{M_{1}+M_{2}+M_{3}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366283 A mass of \(50\,g\) of water in a closed vessel, with surroundings at a constant temperature takes 2 minutes to cool from \(30^\circ C\) to \(25^\circ C\). A mass of \(100\,g\) of another liquid in an identical vessel with identical surroundings takes the same time to cool from \(30^\circ C\) to \(25^\circ C\). The specific heat of the liquid is: (The water equivalent of the vessel is \(30\,g\).)

1 \(2.0\,kcal/kg\)
2 \(7\,kcal/kg\)
3 \(3\,kcal/g\)
4 \(0.5\,kcal/kg\)
PHXI11:THERMAL PROPERTIES OF MATTER

366284 Assertion :
Molar heat capacity is the amount of heat required to raise the temperature of a unit mole by one degree.
Reason :
Heat capacity is the amount of heat needed to raise a system temperature by one degree.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
PHXI11:THERMAL PROPERTIES OF MATTER

366285 Three bodies of the same material and having masses \(m,2\;m\) and \(3\;m\) are at temperature \(40^\circ C,50^\circ C\) and \(60^\circ C\) respectively. If the bodies are brought in thermal contact, the final temperature will be

1 \(54^\circ C\)
2 \(45^\circ C\)
3 \(48^\circ C\)
4 \(52^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366281 A water cooler of storage capacity 120 liters can cool water at a constant rate of \(P\) watts. In a closed circulation system, the water from the cooler is used to cool an external device that generates constantly \(3\;kW\) of heat (thermal load). The temperature of water fed into the device cannot exceed of \(30^\circ C\) and the entire stored 120 liters of water is initially cooled to \(10^\circ C\). The entire system is thermally insulated. The minimum value of \(P\) (in watts) for which the device can be operated for 3 hours is (Specific heat of water is \(4.2\,KJ\,k{g^{ - 1}}\;{K^{ - 1}}\) and the density of water is \(1000\;kg\;{m^{ - 3}}\) )

1 2067
2 1600
3 3933
4 2533
PHXI11:THERMAL PROPERTIES OF MATTER

366282 Three copper blocks of masses \(M_{1}, M_{2}\) and \(M_{3}\) \(kg\) respectively are brought into thermal contact till they reach equilibrium. Before contact, they were at \(T_{1}, T_{2}, T_{3}\left(T_{1}>T_{2}>T_{3}\right)\). Assuming there is no heat loss to the surroundings, the equilibrium temperature \(T\) is (\(s\) is specific heat of copper)

1 \(T=\dfrac{T_{1}+T_{2}+T_{3}}{3}\)
2 \(T=\dfrac{M_{1} T_{1}+M_{2} T_{2}+M_{3} T_{3}}{M_{1}+M_{2}+M_{3}}\)
3 \(T=\dfrac{M_{1} T_{1}+M_{2} T_{2}+M_{3} T_{3}}{3\left(M_{1}+M_{2}+M_{3}\right)}\)
4 \(T=\dfrac{M_{1} T_{1} s+M_{2} T_{2} s+M_{3} T_{3} s}{M_{1}+M_{2}+M_{3}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366283 A mass of \(50\,g\) of water in a closed vessel, with surroundings at a constant temperature takes 2 minutes to cool from \(30^\circ C\) to \(25^\circ C\). A mass of \(100\,g\) of another liquid in an identical vessel with identical surroundings takes the same time to cool from \(30^\circ C\) to \(25^\circ C\). The specific heat of the liquid is: (The water equivalent of the vessel is \(30\,g\).)

1 \(2.0\,kcal/kg\)
2 \(7\,kcal/kg\)
3 \(3\,kcal/g\)
4 \(0.5\,kcal/kg\)
PHXI11:THERMAL PROPERTIES OF MATTER

366284 Assertion :
Molar heat capacity is the amount of heat required to raise the temperature of a unit mole by one degree.
Reason :
Heat capacity is the amount of heat needed to raise a system temperature by one degree.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
PHXI11:THERMAL PROPERTIES OF MATTER

366285 Three bodies of the same material and having masses \(m,2\;m\) and \(3\;m\) are at temperature \(40^\circ C,50^\circ C\) and \(60^\circ C\) respectively. If the bodies are brought in thermal contact, the final temperature will be

1 \(54^\circ C\)
2 \(45^\circ C\)
3 \(48^\circ C\)
4 \(52^\circ C\)
PHXI11:THERMAL PROPERTIES OF MATTER

366281 A water cooler of storage capacity 120 liters can cool water at a constant rate of \(P\) watts. In a closed circulation system, the water from the cooler is used to cool an external device that generates constantly \(3\;kW\) of heat (thermal load). The temperature of water fed into the device cannot exceed of \(30^\circ C\) and the entire stored 120 liters of water is initially cooled to \(10^\circ C\). The entire system is thermally insulated. The minimum value of \(P\) (in watts) for which the device can be operated for 3 hours is (Specific heat of water is \(4.2\,KJ\,k{g^{ - 1}}\;{K^{ - 1}}\) and the density of water is \(1000\;kg\;{m^{ - 3}}\) )

1 2067
2 1600
3 3933
4 2533
PHXI11:THERMAL PROPERTIES OF MATTER

366282 Three copper blocks of masses \(M_{1}, M_{2}\) and \(M_{3}\) \(kg\) respectively are brought into thermal contact till they reach equilibrium. Before contact, they were at \(T_{1}, T_{2}, T_{3}\left(T_{1}>T_{2}>T_{3}\right)\). Assuming there is no heat loss to the surroundings, the equilibrium temperature \(T\) is (\(s\) is specific heat of copper)

1 \(T=\dfrac{T_{1}+T_{2}+T_{3}}{3}\)
2 \(T=\dfrac{M_{1} T_{1}+M_{2} T_{2}+M_{3} T_{3}}{M_{1}+M_{2}+M_{3}}\)
3 \(T=\dfrac{M_{1} T_{1}+M_{2} T_{2}+M_{3} T_{3}}{3\left(M_{1}+M_{2}+M_{3}\right)}\)
4 \(T=\dfrac{M_{1} T_{1} s+M_{2} T_{2} s+M_{3} T_{3} s}{M_{1}+M_{2}+M_{3}}\)
PHXI11:THERMAL PROPERTIES OF MATTER

366283 A mass of \(50\,g\) of water in a closed vessel, with surroundings at a constant temperature takes 2 minutes to cool from \(30^\circ C\) to \(25^\circ C\). A mass of \(100\,g\) of another liquid in an identical vessel with identical surroundings takes the same time to cool from \(30^\circ C\) to \(25^\circ C\). The specific heat of the liquid is: (The water equivalent of the vessel is \(30\,g\).)

1 \(2.0\,kcal/kg\)
2 \(7\,kcal/kg\)
3 \(3\,kcal/g\)
4 \(0.5\,kcal/kg\)
PHXI11:THERMAL PROPERTIES OF MATTER

366284 Assertion :
Molar heat capacity is the amount of heat required to raise the temperature of a unit mole by one degree.
Reason :
Heat capacity is the amount of heat needed to raise a system temperature by one degree.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but Reason is correct.
PHXI11:THERMAL PROPERTIES OF MATTER

366285 Three bodies of the same material and having masses \(m,2\;m\) and \(3\;m\) are at temperature \(40^\circ C,50^\circ C\) and \(60^\circ C\) respectively. If the bodies are brought in thermal contact, the final temperature will be

1 \(54^\circ C\)
2 \(45^\circ C\)
3 \(48^\circ C\)
4 \(52^\circ C\)