An aluminum cup of 140 cm3 capacity is completely filled with glycerin at 20°c. how much glycerin will spill out of the cup if the temperature of both the cup and glycerin is increased to 31°c? (the linear expansion coefficient of aluminum is 23 × 10-6 1/c°. the coefficient of volume expansion of glycerin is 5.1 × 10-4 1/c°.)

Explanation:

The given data is as follows.

    coefficient of volume expansion of glycerin () =

     linear expansion coefficient of aluminum, =  

              Volume = 100

The increase in volume of the cup will be calculated as follows.

                                 =

                                 =

                                 = 0.0759

Formula for increase in volume  of glycerine is as follows.

                              =

                              = 0.5610

Therefore, volume of glycerin spilled is calculated as follows.

                                     = (0.5610 - 0.0759)

                                     = 0.4851

Thus, we can conclude that 0.4851 glycerin will spill out of the cup.

the answer is option a.