A stationary cylinder of oxygent used in a hospital has the following characteristics at room temperature `300 K`, gauge pressure `1.38 xx 10^(7)` Pa. volume `16 L`. If the flow area, measured at atmospheric pressure, is constant at `2.4 L//min`, the cylinder will last for nearly

Options

A. `5 h`
B. `10 h`
C. `15 h`
D. `20 h`

Answer

C

Explanation

c. `(P_(1) V_(1))/(T_(1)) = (P_(2) V_(2))/(T_(2))`
`((1.38 xx 10^(7) Pa) (16 L))/(300 K)= ((10^(5) Pa)(2.4 (L)/(m) t))/(300 K)`
`t = (1.38 xx 10^(7) xx 16)/(10^(5) xx 2.4) = 920 min`
`(920)/(60) h = 15 h` (approx.)