A sample of neon gas in a closed vessel occupies 85.0 mL at 25.0 °C. What is its new volume, in mL, if the temperature decreases to –16.0 °C, with P and n constant?

The new volume of the gas is 73.31 mL at -16°C.

Explanation:

Boyle's Law:

The pressure of a given mass at a constant temperature of an ideal gas is inversely proportion to its volume.

Charles' Law:

The volume is directly proportional to the temperature of an ideal gas of a given mass at a constant pressure.

Combined two gas laws

Given that,

A sample of neon gas closed vessel occupied 85.0 mL at 25.0°C with constant P and n.

Here , mL, =( 25+273)K=298 k

? , =(-16+273)K=257 k

Since the pressure is constant.

So, the gas equation becomes

Putting the value of , and

mL

The new volume of the gas is 73.31 mL at -16°C.