Physics Problem Expansion G7 2nd Semester

Expansion Problem
EXERCISE 1 :
1. A brass rod is 1,0 m length at 200C. What is its length at 1500 C ?
    (α = 1.9 x 10-5 / 0C )

2. A steel rod is 12 m length at 00C. How much will the steel elongate if it is heated by 420C ?
    ( α = 1.1 x   10-5 / 0C ).

3. A plate of Pyrex glass measures 100 m length and 75m width at 230C. What is its area if the tempera     ture    is increased by 880C ? ( α = 3.2 x 10-4 / 0C )

4. The volume of a solid cylindrical copper at 400C is 4 liter. What is its volume if the temperature in- creased by 1400C ? ( α = 1.7 x 10-5 / 0C )

5. The volume of ethyl alcohol at 300C is 100 ml. What is its volume if the tempeature increased by 700C ?
    ( = 1.12 x 10-4 / 0C ).

6. A steel rode is 50 cm at 400C. If its length increas by 0.044 cm, in what temperature It is heated ?

7. A steel wire has length of 100 cm at temperature 300C. If the length of the steel now is 100.1 cm and α = 10-5 / 0C, determine the temperature of steel now !

8. A hollow ball is made of bronce (α =1.8x10-5/0C). At temperature 00C its radius is 4cm. If the ball is heated up to 800C, calculate the area increment of the ball’s surface !

9. A 4liter vessel, 95% of its volume is filled with al cohol. The initial temperature is 00C then heated up to 70 C.Determine the alcohol’s volume which spilt out if the coefficient of length expansion of vessel 0.000011/C and coefficient of alcohol expansion is 0.0010/C!

10. A solid brass cube of edge 2 cm, its temperature is increased from 20 C until 50 C. Calculate the volume of the cube at temperature of 500C and its volume increase ! ( α of brass = 1.9 x E-5/C )


EXERCISE 2
1. Air at a pressure of 1.0 x E5 Pa is contained in a cylinder fitted with a piston. The air is now compressed by pushing the piston, so that the same mass of air now occupies one-fifth the original volume without any change in temperatur
Calculate the pressure of the air !

2. Air at atmospheric pressure(760mmHg) is trapped inside a container as shown in the diagram.
When the piston is pulled out slowly so that the volume is increased by 20%, the temperature remaining constant. The pressure of the air becomes ................ mmHg.

3. The volume of a fixed mass of gas at 760 mm Hg is 1500 cm3. What is the pressure if the volum is reduced to 1000 cm3 at constant temperature ?


EXERCISE 3
1. An aluminium ruler is 1 m length at 20 C and is used to measure the length of plastic. At this temperature the plastic length is 83 cm. When the temperature increase to 140 C, the plastic length become 83.14 cm. Calculate the coefficient of thermal expansion of the plastic !

2. The following table shows the coefficient of linear expansion from several materials :
No. Materials Coefficient of Length
Expansion
1. Alminium    0.00003 / C
2. Copper      0.00002 / C
3. Steel          0.00001 / C
a. Those materials have a same length at 0 C. If those materials are heated to 300 C, which
    one is going to be the longest ?
b. If the aluminium is 1,000 cm length at 0 C, what is the length at temperature of 300 C ?

3. By using the table on the previous question, calculate the change in length of the following materials !
a. a 100-m-length copper is heated by 50 C
b. a 100-m-length steel is heated by 80 C
c. 200-m-length Al is heated from 10 C to 60 C

4. A railway track made of 100 m steel(α=0.000011), calculate its length increament at temperature -15 C   and at temperature 50 C !

5. A glass vessel (α = 9 x E-6 / C ) is filled with 150 cm3 of mercury (full). If the coefficient of mercury   volume expansion is 1.8 x E-4/C and its temperature increases 40 C, calculate the mercury volume which spilt out !

6. A 3 m3 gas, is increased its temperature from 12 C into 103 C at a constant pressure. Calculate the volume of gas now ?

7. A gas is heated up at constant pressure so that the temperature increases from 0 C to 120 C. If the volume of gas now is 6 m3, what is the initial volume of gas ?