Answer to Question #97089 in General Chemistry for Gabby L Goff

Question #97089
An expandable ball holds 5 L of air at 1 atm pressure and at a temperature of 293K. If it is submerged in the ocean to a depth where the pressure is 1.75 atm and the temperature is 275K, what would the new volume be?
1
Expert's answer
2019-10-22T05:43:39-0400

Expandable Ball contains same number of moles in both the situations.

According to ideal gas law,

"PV = nRT"

P = pressure at that temperature and volume

V = volume at 1that pressure and temperature

T = temperature at that pressure and volume

R = universal gas constant

n = number of moles

In this case as expandable ball is closed structure,so,no of moles is constant.

So,

"n=constant; R= constant"

So,

PV=nRT

"nR=PV\/T" "=constant" ------(a)


Now,according to question there are two situations.

Situation 1 :

P1"=1atm"

V1"=5L"

T1"=293K"

Situation 2 :

"P2=1.75atm"

T2 "=275 K"

We have to find new volume V2 :

Using equation (a);

P1V1/T1"=" P2V2/T2

V2"=P"1V1T2/T1P2

V2 "=(1\u00d75\u00d7275)\/(1.75\u00d7293)"

V2 "= 2.682 L" (Answer)




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