A sample of gas is at atmospheric pressure (100 000 Pa) and has volume 50cm3
Determine the new pressure if the volume is halved.

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200000Pa

Explanation:

Given parameters:

Initial pressure  = 100000Pa

Initial volume  = 50cm³

New volume  = 25cm³

Unknown:

New pressure = ?

Solution:

This problem is a pressure -volume relationship. If we assume that temperature is constant in this scenario, we can apply Boyle's law to solve for the new volume.

According to Boyle's law "The volume of a given mass of gas is inversely proportional to the pressure provided that temperature remains constant".

Mathematically;

              P₁V₁   = P₂V₂

P and V are pressure and volume.

1 and 2 are the initial and final states.

           To solve this problem, substitute and solve for the unknown:

        100000 x 50  = P₂ x 25

                       P₂  = 200000Pa

cancer risk hope this

the old price per ounce is c/4.

the new price per ounce is c/3.6.

the ratio of the old price to the new one is

(c/4)/(c/3.6) = (c/c)×(3.6/4) = 0.9 . . = 9/10 . . "nine tenths" in either form