Calorimetry
PHXI11:THERMAL PROPERTIES OF MATTER

366290 The specific heat capacity of a metal at low temperature \(\left( T \right)\) is given as
\(C_{p}\left(k H K^{-1} k^{-1}\right)=32\left(\dfrac{T}{400}\right)^{3}\)
A 100 gram vessel of this metal is to be cooled from \(20^\circ K\,{\rm{to}}\,4^\circ K\) by a special refrigerator operating at room temperature \(\left( {27^\circ C} \right)\). The amount of work required to cool the vessel is

1 Greater than \(0.148\;kJ\)
2 Between \(0.148\;kJ\) and \(0.028\;kJ\)
3 Less than \(0.028\;kJ\)
4 Equal to \(0.002\;kJ\)
PHXI11:THERMAL PROPERTIES OF MATTER

366291 The temperature across two different slabs \(A\) and \(B\) connected in series are shown in the steady state ( as shown in fig ). The two slabs have same cross-sectional area. The ratio of thermal conductivities of \(A\) and \(B\) is
supporting img

1 \(1: 3\)
2 \(2: 3\)
3 \(5: 3\)
4 \(1: 1\)
PHXI11:THERMAL PROPERTIES OF MATTER

366292 A lead bullet at \(277^\circ C\) just melts when stopped by an obstacle. Assuming that \(25 \%\) of heat is absorbed by the obstacle, the minimum velocity the bullet should possess at the time of striking is
(Take \(M.P.\) of lead \( = 327^\circ C,\) \({c_{lead{\rm{ }}}} = 0.03\,{\rm{cal/}}g^\circ C,\) latent heat of fusion of lead \( = 5.5\,{\rm{cal/}}g,1\,{\rm{cal}} = 4.20\;J\))

1 \(165\,m/s\)
2 \(280\,\,m/s\)
3 \(240\,m/s\)
4 \(350\,m/s\)
PHXI11:THERMAL PROPERTIES OF MATTER

366293 Heat capacity of a substance is infinite. It means that

1 Heat is given out
2 Heat is taken in
3 No change in temperature whether heat is taken in (or) given out
4 All of the above
PHXI11:THERMAL PROPERTIES OF MATTER

366290 The specific heat capacity of a metal at low temperature \(\left( T \right)\) is given as
\(C_{p}\left(k H K^{-1} k^{-1}\right)=32\left(\dfrac{T}{400}\right)^{3}\)
A 100 gram vessel of this metal is to be cooled from \(20^\circ K\,{\rm{to}}\,4^\circ K\) by a special refrigerator operating at room temperature \(\left( {27^\circ C} \right)\). The amount of work required to cool the vessel is

1 Greater than \(0.148\;kJ\)
2 Between \(0.148\;kJ\) and \(0.028\;kJ\)
3 Less than \(0.028\;kJ\)
4 Equal to \(0.002\;kJ\)
PHXI11:THERMAL PROPERTIES OF MATTER

366291 The temperature across two different slabs \(A\) and \(B\) connected in series are shown in the steady state ( as shown in fig ). The two slabs have same cross-sectional area. The ratio of thermal conductivities of \(A\) and \(B\) is
supporting img

1 \(1: 3\)
2 \(2: 3\)
3 \(5: 3\)
4 \(1: 1\)
PHXI11:THERMAL PROPERTIES OF MATTER

366292 A lead bullet at \(277^\circ C\) just melts when stopped by an obstacle. Assuming that \(25 \%\) of heat is absorbed by the obstacle, the minimum velocity the bullet should possess at the time of striking is
(Take \(M.P.\) of lead \( = 327^\circ C,\) \({c_{lead{\rm{ }}}} = 0.03\,{\rm{cal/}}g^\circ C,\) latent heat of fusion of lead \( = 5.5\,{\rm{cal/}}g,1\,{\rm{cal}} = 4.20\;J\))

1 \(165\,m/s\)
2 \(280\,\,m/s\)
3 \(240\,m/s\)
4 \(350\,m/s\)
PHXI11:THERMAL PROPERTIES OF MATTER

366293 Heat capacity of a substance is infinite. It means that

1 Heat is given out
2 Heat is taken in
3 No change in temperature whether heat is taken in (or) given out
4 All of the above
PHXI11:THERMAL PROPERTIES OF MATTER

366290 The specific heat capacity of a metal at low temperature \(\left( T \right)\) is given as
\(C_{p}\left(k H K^{-1} k^{-1}\right)=32\left(\dfrac{T}{400}\right)^{3}\)
A 100 gram vessel of this metal is to be cooled from \(20^\circ K\,{\rm{to}}\,4^\circ K\) by a special refrigerator operating at room temperature \(\left( {27^\circ C} \right)\). The amount of work required to cool the vessel is

1 Greater than \(0.148\;kJ\)
2 Between \(0.148\;kJ\) and \(0.028\;kJ\)
3 Less than \(0.028\;kJ\)
4 Equal to \(0.002\;kJ\)
PHXI11:THERMAL PROPERTIES OF MATTER

366291 The temperature across two different slabs \(A\) and \(B\) connected in series are shown in the steady state ( as shown in fig ). The two slabs have same cross-sectional area. The ratio of thermal conductivities of \(A\) and \(B\) is
supporting img

1 \(1: 3\)
2 \(2: 3\)
3 \(5: 3\)
4 \(1: 1\)
PHXI11:THERMAL PROPERTIES OF MATTER

366292 A lead bullet at \(277^\circ C\) just melts when stopped by an obstacle. Assuming that \(25 \%\) of heat is absorbed by the obstacle, the minimum velocity the bullet should possess at the time of striking is
(Take \(M.P.\) of lead \( = 327^\circ C,\) \({c_{lead{\rm{ }}}} = 0.03\,{\rm{cal/}}g^\circ C,\) latent heat of fusion of lead \( = 5.5\,{\rm{cal/}}g,1\,{\rm{cal}} = 4.20\;J\))

1 \(165\,m/s\)
2 \(280\,\,m/s\)
3 \(240\,m/s\)
4 \(350\,m/s\)
PHXI11:THERMAL PROPERTIES OF MATTER

366293 Heat capacity of a substance is infinite. It means that

1 Heat is given out
2 Heat is taken in
3 No change in temperature whether heat is taken in (or) given out
4 All of the above
PHXI11:THERMAL PROPERTIES OF MATTER

366290 The specific heat capacity of a metal at low temperature \(\left( T \right)\) is given as
\(C_{p}\left(k H K^{-1} k^{-1}\right)=32\left(\dfrac{T}{400}\right)^{3}\)
A 100 gram vessel of this metal is to be cooled from \(20^\circ K\,{\rm{to}}\,4^\circ K\) by a special refrigerator operating at room temperature \(\left( {27^\circ C} \right)\). The amount of work required to cool the vessel is

1 Greater than \(0.148\;kJ\)
2 Between \(0.148\;kJ\) and \(0.028\;kJ\)
3 Less than \(0.028\;kJ\)
4 Equal to \(0.002\;kJ\)
PHXI11:THERMAL PROPERTIES OF MATTER

366291 The temperature across two different slabs \(A\) and \(B\) connected in series are shown in the steady state ( as shown in fig ). The two slabs have same cross-sectional area. The ratio of thermal conductivities of \(A\) and \(B\) is
supporting img

1 \(1: 3\)
2 \(2: 3\)
3 \(5: 3\)
4 \(1: 1\)
PHXI11:THERMAL PROPERTIES OF MATTER

366292 A lead bullet at \(277^\circ C\) just melts when stopped by an obstacle. Assuming that \(25 \%\) of heat is absorbed by the obstacle, the minimum velocity the bullet should possess at the time of striking is
(Take \(M.P.\) of lead \( = 327^\circ C,\) \({c_{lead{\rm{ }}}} = 0.03\,{\rm{cal/}}g^\circ C,\) latent heat of fusion of lead \( = 5.5\,{\rm{cal/}}g,1\,{\rm{cal}} = 4.20\;J\))

1 \(165\,m/s\)
2 \(280\,\,m/s\)
3 \(240\,m/s\)
4 \(350\,m/s\)
PHXI11:THERMAL PROPERTIES OF MATTER

366293 Heat capacity of a substance is infinite. It means that

1 Heat is given out
2 Heat is taken in
3 No change in temperature whether heat is taken in (or) given out
4 All of the above