Question

At a constant pressure and a temperature of 280 K the gas in a cylinder has a volume of 10.0 L. If the volume of the gas is increased to 20.0 L what is the new temperature

28 K

560 K

140 K

2800 K

Answer 1

At constant pressure a known moles of gas has volume which is directly proportional to temperature (Charle's Law)

Thus V α T

Therefore

V1/V2 = T1 /T2

V1 = initial volume = 10 L

T1 = initial temperature= 280 K

V2 = final volume = 20L

T2 = final temperature = ?

T2 = T1V2 / V1 = 280 X 20 / 10 = 560 K

Thus the new temperature will also doubles up as volume is increased by two times