Answer:
THE NEW VOLUME OF THE GAS IS 3.124 L
Explanation:
Initial Temperature = 27°C = 27 + 273 K = 300 K
Pressure = constant
Initial Volume = 3.3 L
Final Temperature = 11 °C = 11+ 273 K = 284 K
Final volume = unknown
Using Charles' law, at constant pressure, the volume of a given gas is directly proportional to the temperature.
Mathematically,
V1 / T1 = V2 / T2
Re-arranging the formula by making V2 the subject of the formula
V2 = V1 T2 / T1
V2 = 3.3 * 284 / 300
V2 = 3.124 L
The new volume of the gas is therefore 3.124 L at 11°C
The new volume is 3.1 L
The parameters given in the question are
T1= 27°c
convert to kelvin
= 273 + 27
= 300k
T2= 11°c
convert to kelvin
= 273+11
= 284k
Volume 1= 3.3 L
V1/T1= V2/T2
3.3/300= V2/284
Cross multiply
284×3.3= 300×V2
937.2= 300V2
V2= 937.2/300
= 3.1
Hence the new volume is 3.1 L
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