A stationary cylinder of oxygen used in a hospital has the following characteristics at room temperature 300 K- gauge pressure 1-38- 107 Pa- volume 16 L- If the flow rate- measured at atmospheric pressure- is constant at 2-4 L-min- the cylinder will last for nearly

Assuming the total time to empty the cylinder is t V_2=2.4× t Applying Ideal gas equation P_1V_1/T_1 = P_2V_2/T_2 1.38×10^7×16/300 = nbsp;10^5×2.4× t/300 t = ...

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Standard XII

Physics

Ideal Gas Equation

A stationary ...

Question

A stationary cylinder of oxygen used in a hospital has the following characteristics at room temperature $300 K$ , gauge pressure $1.38 \times 10^{7} P a$ , volume $16 L$ . If the flow rate, measured at atmospheric pressure, is constant at $2.4 L / m i n$ , the cylinder will last for nearly

5 h

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10 h

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15 h

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20 h

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Solution

The correct option is C $15 h$
Assuming the total time to empty the cylinder is $t$
$V_{2} = 2.4 \times t$
Applying Ideal gas equation
$\frac{P_{1} V_{1}}{T_{1}}$ = $\frac{P_{2} V_{2}}{T_{2}}$
$\frac{1.38 \times 10^{7} \times 16}{300}$ = $\frac{10^{5} \times 2.4 \times t}{300}$
$t = 920 m i n$
$t = 15 h$

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A stationary cylinder of oxygen used in a hospital has the following characteristics at room temperature 300 K, gauge pressure 1.38×107Pa, volume 16 L. If the flow rate, measured at atmospheric pressure, is constant at 2.4 L/min, the cylinder will last for nearly

The correct option is C 15 hAssuming the total time to empty the cylinder is t V2=2.4×t Applying Ideal gas equation P1V1T1 = P2V2T2 1.38×107×16300 = 105×2.4×t300 t=920 min t=15 h

A stationary cylinder of oxygen used in a hospital has the following characteristics at room temperature $300 K$ , gauge pressure $1.38 \times 10^{7} P a$ , volume $16 L$ . If the flow rate, measured at atmospheric pressure, is constant at $2.4 L / m i n$ , the cylinder will last for nearly