34. Pressure of an ideal gas decreases to 5% at 5°C
of its original value of 5 atm at 283°C. What is the
percentage change in its density?
Answers
Answered by
16
Answer:
Explanation:
Initial pressure =5 atm
Final pressure= 5% of 5 =0.25 atm
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Answered by
1
Hey Dear,
◆ Answer -
∆d/d % = -5 %
◆ Explanation -
# Given -
P = 5 atm
∆P = - 5% P
# Solution -
Final pressure is given by -
∆P = P' - P
-5/100 P = P' - PP' = 95/100
PP/P' = 100/95
According to Boyle's law,
PV = P'V'
V'/V = P/P'
V'/V = 100/95
Initial and final density of gas is related as -
d/d' = (M/V) / (M/V')
d/d' = V'/V
d/d' = 100/95
d' = 95/100 d
Therefore, percentage change in density is -
∆d/d % = (d'-d) / d × 100
∆d/d % = (95/100d - d) / d × 100
∆d/d % = -5 %
Therefore, density of the gas decreases by 5 % during the process.
Thanks dear.
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