A452.3-g sample of an element at 192°c is dropped into an ice–water mixture; 110.6 g of ice melts and an ice–water mixture remains. calculate the specific heat of the element. δhfusion = 6.02 kj/mol (for liquid water at 0°c).

the specific heat of the sample is c sam = 0.42 J/g °C

Explanation:

if we assume that the sample is submerged into the mixture, such that  all the heat released by the sample is absorbed by the ice and water, and there is no time to the heat to be released to the surroundings ( or the system is isolated):

Q ice wat  + Q sam = Q surroundings = 0

Q ice wat= - Q sam

since the ice-water mixture remains, the final temperature is 0°C (water-ice equilibrium), thus only latent heat is involved

Assuming that there is no heat due to reaction or phase change of the sample, the heat released is only sensible heat

Q sam = m sam * c sam  ( T final - T initial )

Q ice wat = m ice * ΔH fusion / M water

therefore

- m sam * c sam  ( T final - T initial ) = m ice * ΔH fusion / M water

c sam= m ice * ΔH fusion /[ m sam * M water *( T initial  - T final )]

replacing values

c sam = 110.6 g * 6.02 kJ/mol / ( 452.3 g * 18 gr/mol*( 192°C -0°C) * 1000 J/kJ = 0.42 J/g °C

thus

c sam = 0.42 J/g °C

your answers are a,b,,e and f

i hope this

assuming that your periodic table has eighteen columns, you should highlight   the four elements in the third column from the left of the table.

neutral atoms of elements after calcium contain d electrons. the energy of d orbitals of a particular main shell lies between the energy of the s and p orbitals of the next main shell. for example, electrons in the have energy higher than those in the orbital while lower than those of the orbital.

by the aufbau principle, electrons fill orbitals one at a time, starting from those of the lowest energy. the orbital is therefore filled right after orbitals and before orbitals.  

potassium has electron configuration and calcium . the s orbital of a main shell holds a maximum of two electrons. the next element would thus have the electron configuration and satisfy the requirements.

a neutral atom of the element contains three electrons on top of the most recent noble gas element. it should thus be placed in the third column of the periodic table. both scandium and yttrium would satisfy the conditions. an aufbau diagram indicates that the 4f orbital is filled before the 5d. however, it appears that exceptions exists for both lanthanum and actinium. neutral atoms of the two d-block elements also demonstrate the and should be highlighted as well.