When the same amount of heat is added to 50.0 g of each substance, which of the following will have the smallest temperature increase?

Aluminium

Explanation:

When a certain amount of heat is supplied to a substance, the temperature of the substance increases according to the equation:

where

is the increase in temperature

Q is the amount of heat supplied to the substance

m is the mass of the substance

C is the specific heat capacity of the substance

Here the four substances have the same mass,

m = 50.0 g

Also, the amount of heat supplied to the 4 substances is the same. This means that their increase in temperature is inversely proportional to their specific heat capacity:

Therefore, the substance with the highest specific heat capacity will have the smallest temperature increase: by comparing the values in the table, we see that alluminium has the highest specific heat capacity (0.90 J/gC), therefore it will have the smallest temperature increase.

work: w = fd (given)

work done by chet   =50*1 = 50 j

work done by mika =40*2 = 80 j

work done by sara =30*1.5 = 45 j

work done by bill =60*0.5 = 30 j

students in order from the greatest amount of work done to the least is mika> chet> sara> bill

hence option (b) is correct.