Does the volume of a fixed quantity of gas decrease to half its original value when the temperature is lowered from 100 ∘c to 50 ∘c ?

No

Explanation:

Let's assume the gas pressure is constant. Then we can use Charle's law, which states that the volume of the gas is proportional to the absolute temperature (in Kelvin):

This can be rewritten as

where we have

 is the initial temperature of the gas

 is the final temperature of the gas

Re-arranging the previous equation, we find

so, the volume of the gas decreases by a factor 0.87.

hi there!

out of the two, (b) precision would be more reasonable.   however, both a and b could be pretty reasonable.

-awesomerepublic   : )

= initial pressure

= final pressure = 2

= initial volume

= final volume = /4

= initial temperature = 20 c = 20 + 273 = 293 k

= final temperature = ?

using the equation