If 500 mL expandable cylinder with a pressure of 500 mmHg was filled until the volume was 1.2 atm. What is the
new volume?

0.274 L

Explanation:

Applying Boyle's law,

PV = P'V' Equation 1

Where P = Initial pressure, V = Initial volume, P' = Final pressure, V' = Final volume.

make V' the subject of the equation,

V' = PV/P' Equation 2

From the question,

Given: P = 500 mm Hg, V = 500 mL = 0.5 L, P' = 1.2 atm = 912 mm Hg

Substitute these values into equation 2

V' = (0.5×500)/912

V' = 0.274 L

Hence the new volume is 0.274 L

in scientific notation, the value of the  speed of light in a vacuum

  will be written as 2.995 * 10^8. when this value is represented in the form of

  a * 10^b, then, a = 2.995 and b = 8.

the value of the speed of light in a vacuum given above can also be rounded up to approximately 300000000. in this case, the scientific notation will be written as 3 *10^8.