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Chemistry

Calculate the weight of the substance if it's molecular weight is 70 and in the gaseous form occupies 10 lits. at 27°C and 700 mm pressure.

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Answer

Initial ConditionsFinal Conditions (s.t.p.)
P1 = 700 mm of HgP2 = 760 mm of Hg
V1 = 10 litV2 = x lit
T1 = 27 + 273 KT2 = 273 K

Using the gas equation,

P1V1T1=P2V2T2\dfrac{P{1}V{1}}{T{1}} = \dfrac{P{2}V{2}}{T{2}}

Substituting the values we get,

700×10300=760×x273x=700×10×273300×760x=1911228x=8.38 lit\dfrac{700 \times 10}{300} = \dfrac{760 \times x}{273} \\[0.5em] x = \dfrac{700 \times 10 \times 273}{300 \times 760 } \\[0.5em] x = \dfrac{1911}{228 } \\[0.5em] x = 8.38 \text{ lit}

1 gram molecular weight of the gas occupies 22.4 lit. at s.t.p.

∴ 70 g of the gas occupies 22.4 lit. at s.t.p.

If yy g of the gas occupies 8.38 lits, then

y=7022.4×8.38=26.18 gy = \dfrac{70}{22.4} \times 8.38 \\[0.5em] = 26.18 \text{ g}

Hence, weight of substance is 26.18 g

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