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A 400 ml sample of gas is heated from -20 c to 60

c. the pressure changes from 50 to 225 kpa. what is the final vollume

User Hamiltonia
by
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2 Answers

5 votes
using p1v1/t1=p2v2/t2
p1=50
p2=225
v1=400ml
v2=?
t1=-20=253k
t2=60=333k
50x400/253=225xv2/333
7.9=0.7xv2
v2=7.9/0.7
v2=11.3ml
User Jeff Bramwell
by
9.6k points
5 votes

Answer : The new volume of gas will be 117 ml.

Step-by-step explanation:

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,


(P_1V_1)/(T_1)=(P_2V_2)/(T_2)

where,


P_1 = initial pressure of gas = 50 kPa


P_2 = final pressure of gas = 225 kPa


V_1 = initial volume of gas = 400 ml


V_2 = final volume of gas = ?


T_1 = initial temperature of gas =
-20^0C=(-20+273)K=253K


T_2 = final temperature of gas =
60^0C=(60+273)K=333K

Now put all the given values in the above equation, we get the final pressure of gas.


(50* 400)/(253K)=(225* V_2)/(333K)


V_2=117ml

Therefore, the new volume of gas will be 117 ml.

User James Nicholson
by
7.8k points
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