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Shkiper50 [21]
3 years ago
15

How many moles of gas must be forced into a 3.5 L ball to give it a gauge pressure of 8.8 psi at 22 ∘C? The gauge pressure is re

lative to atmospheric pressure. Assume that atmospheric pressure is 14.5 psi so that the total pressure in the ball is 23.3 psi .
Chemistry
1 answer:
blondinia [14]3 years ago
7 0

Answer : The number of moles of gas forced into a 3.5 L ball must be 2.28 moles.

Explanation :

Using ideal gas equation:

PV=nRT

where,

P = pressure of gas = 23.3 psi = 1.58 atm

conversion used : (1 atm = 14.7 psi)

V = volume of gas = 3.5 L

T = temperature of gas = 22^oC=273+22=295K

n = number of moles of gas = ?

R = gas constant = 0.0821 L.atm/mole.K

Now put all the given values in the ideal gas equation, we get:

(15.8atm)\times (3.5L)=n\times (0.0821L.atmK^{-1}mol^{-1})\times (295K)

n=2.28mole

Therefore, the number of moles of gas forced into a 3.5 L ball must be 2.28 moles.

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