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in Chemistry by (37.5k points)
closed ago by

Calculate the weight (in grm.) of the pure hydrogen sulphide gas stored in a tank of 100 litres capacity at 20°C and 2 atmospheric pressure.

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by (36.9k points)
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Best answer

Conversion of volume (100 lit.) of gas at 20° C and 2 atm. pressure to NTP

At given conditions 

\(V_1= 100\ litres\)

\(P_{1} = 2\ atm\)

\(T_{1} = 20 + 273 = 293A\)

Αt Ν.Τ.Ρ.

\(V_{2} =\)

\(P_{2} = 1\ atm\)

\(T_{2} = 273A\)

Applying the formula,

\(\frac{(P_{1}V_{1})}{T_{1}} = \frac{(P_{2}V_{2})}{T_{2}}\)

\(V_2 = \frac{P_1V_1}{T_1} \times \frac{T_2}{P_2} \)

\(= \frac{2 \times 100 \times 273}{293 \times 1} = 186.3 \ lit.\)

Calculation of weight of 186.3 litres of \(H_{2}S\)

22.4 litres of \(H_{2}S\) at NTP weigh 34 g

186.3 litres of \(H_{2}S\) at NTP weigh = \(\frac{34}{22.4} \times 186.3 = 282.78\) gm

Alternatively, 

\(m = \frac{PVM}{RT}\)

Substituting the various values,

\(m = \frac{2\times 100 \times 34}{0.0821 \times 293}\)

\(= 282.68 g\)

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