The pressure of a given mass of a gas changes from 300Nm\(^{-2}\) to 120Nm\(^{-2}\) while the temperature drops from 127°C to -73°C. The ratio of the final volume to the initial volume is
2 : 5
5 : 4
4 : 5
5 : 2
Explanation
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Discussions (15)

ans is meant to b 4:5
V1=300*200
V2=120*400
48000/60000
ans is 0.8 whch is 4:5

P1V1=P2V2
P1=300, P2=120 ,V1=? ,V2=? ,T1=127°C=127+273=400K
T2=-73°C=-73+273=200K
P1V1/T1=P2V2/T2
300×V1/400=120×V2/200
60000V1=48000V2
V2:V1=60000/48000
=5:4
That's where u guys get it wrong.Assuming they said V1 ratio V2 the answer would have been 4:5

bcuz according to my workings the final is 4 and initial is 5 therefore the answer is 4:5

solution
data given:
P1 = 300
P2 = 120
T1 = 127+273 = 400k
T2 = -73+273 = 200k
recall:
P1V1/T1 = P2V2/T2
cross and multiply ✖️
P1V1T2 = P2V2T1
300xV1x200 = 120xV2x200
60000V1 = 48000V2
ratio of V2:V1
V2/V1 = 48000/60000
V2/V1 = 5/4
V2/V2 = 5:4




