Question

58. A metal jug of negligible thermal capacity contains a mass \( M \) of water at a temperature \( T_{1} \). A dry block of ice (specific latent heat of fusion \( =L_{i} \) ) of mass \( m \) at \( 0^{\circ} \mathrm{C} \) is dropped into the water (specific heat capacity \( =\mathrm{c} \) ) and begins to melt. At thermal equilibrium, there is no ice in the jug and the temperature of all the water is \( T_{2} \). There is no thermal energy transfer between the atmosphere and the water or between the atmosphere and the ice. Which expression is used to calculate m ? A) \( \frac{M d\left(T_{1}-T_{2}\right)}{L_{r}+c T_{2}} \) B) \( \frac{M d\left(T_{1}-T_{2}\right)}{L_{f}} \) C) \( \frac{M C T_{1}}{L_{i}+c T_{2}} \) D) \( \frac{M c T_{1}}{L_{r}} \) E) \( \frac{M d\left(T_{1}-T_{2}\right)}{L_{t}+c T_{1}} \)

          58. A metal jug of negligible thermal capacity contains a mass \( M \) of water at a temperature \( T_{1} \). A dry block of ice (specific latent heat of fusion \( =L_{i} \) ) of mass \( m \) at \( 0^{\circ} \mathrm{C} \) is dropped into the water (specific heat capacity \( =\mathrm{c} \) ) and begins to melt. At thermal equilibrium, there is no ice in the jug and the temperature of all the water is \( T_{2} \).
There is no thermal energy transfer between the atmosphere and the water or between the atmosphere and the ice.
Which expression is used to calculate m ?
A) \( \frac{M d\left(T_{1}-T_{2}\right)}{L_{r}+c T_{2}} \)
B) \( \frac{M d\left(T_{1}-T_{2}\right)}{L_{f}} \)
C) \( \frac{M C T_{1}}{L_{i}+c T_{2}} \)
D) \( \frac{M c T_{1}}{L_{r}} \)
E) \( \frac{M d\left(T_{1}-T_{2}\right)}{L_{t}+c T_{1}} \)

58. A metal jug of negligible thermal capacity contains a mass M of water at a temperature T1. A dry block of ice (specific latent heat of fusion =Li ) of mass m at 0^∘C is dropped into the water (specific heat capacity =c ) and begins to melt. At thermal equilibrium, there is no ice in the jug and the temperature of all the water is T2.
There is no thermal energy transfer between the atmosphere and the water or between the atmosphere and the ice.
Which expression is used to calculate m ?
A) (M d(T1-T2))/(Lr+c T2)
B) (M d(T1-T2))/(Lf)
C) (M C T1)/(Li+c T2)
D) (M c T1)/(Lr)
E) (M d(T1-T2))/(Lt+c T1)

Added by Margaret P.

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