Question #e7184

1 Answer
Jul 25, 2017

On average, the pressure dropped by 0.83 bar each day.

Explanation:

From the Ideal Gas Law, you know that

pV = nRT

Thus,

p ∝ n.

The number of moles, n, is directly proportional to the mass m of the gas, so

p ∝ m.

This means that, if the mass decreases by a certain factor, the pressure will decrease by the same factor.

Here, the mass has decreased to 10 kg from 15 kg, a factor of 10/15.

The pressure will decrease by the same factor.

Hence, the new pressure will be

"10 bar" × 10/15 = "6.67 bar"

The drop in pressure is

"10 bar - 6.67 bar = 3.33 bar"

This pressure drop occurred over four days.

∴ The average pressure drop per day was

"3.33 bar"/"4 days" = "0.83 bar/day"