Study text: "Essential Mathematics and Statistics for Science", 2nd Edition,

G Currell & A A Dowman, Wiley-Blackwell, 2009

G Currell & A A Dowman, Wiley-Blackwell, 2009

- If, according to the ideal gas law, the pressure,
*p*is inversely proportional to the volume,*V*and*p*= 825 kPa when*V*= 3.0 dm^{3}, calculate the value of*p*when*V*= 1.0 dm^{3}.**Check**the**ONE answer**that is**TRUE:**

(Click here for the Video Answer)- 2475 kPa
- 550 kPa
- 275 kPa
- None of the above

- An initial solution of volume,
*V*_{1}, with a concentration of*C*_{1}= 0.32 mol dm^{-3}is diluted with pure solvent by a factor of 20 to give a final volume,*V*_{2}, and concentration*C*_{2}= 0.016 mol dm^{-3}.**Check ALL**of the following**equations**that are**correct**for a solution with a constant amount of solute, and then click '**Confirm Answer**' below.

(Click here for the Video Answer) - The volume of a sphere is proportional to the cube (power of 3) of its radius. A small spherical pellet has a radius of 0.5 mm and a volume of 5.24×10
^{-10}m^{3}. What would be the new volume if the radius is increased to 1.0 mm?**Check**the**ONE answer**that is**TRUE:**

(Click here for the Video Answer)- 4.19 ×10
^{-9}m^{3} - 3.14 ×10
^{-9}m^{3} - 1.05 ×10
^{-9}m^{3} - None of the above

- 4.19 ×10
- The kinetic energy of a particle is proportional to the square of its speed.

A molecule of oxygen is travelling at 800 m s^{-1}and has a kinetic energy of 1.70×10^{-20}J.

Calculate the speed of the oxygen molecule if its kinetic energy drops to half of this value.**Check**the**ONE answer**that is**TRUE:**

(Click here for the Video Answer)- 600 m s
^{-1} - 566 m s
^{-1} - 200 m s
^{-1} - None of these

- 600 m s
- Check ALL of the graphs which correspond
**correctly**with the given proportional relationship, and then click '**Confirm Answer**' below.

(Click here for the Video Answer)