A gas is at a pressure of 12.5 psi and a volume of 750 mL. What volume will the gas occupy at a pressure of 18 psi?

Answer : The volume of gas occupy at a pressure of 18 psi is, 520.8 mL

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

or,

where,

= initial pressure = 12.5 psi

= final pressure = 18 psi

= initial volume = 750 mL

= final volume = ?

Now put all the given values in the above equation, we get:

Thus, the volume of gas occupy at a pressure of 18 psi is, 520.8 mL

the density of gold = 19.3 g/cm3

the relation between density and mass and volume is

density = mass / volume

given :

mass of gold = 13 g

density = 13g / volume = 19.3

volume = 13 /19.3 = 0.67 cm^3

thus volume of gold nugget = 0.67 cm^3